Checking formulas in Excel, or what the green triangle means

What does a triangle with a circle inside mean?

Solomon's Magic Triangle
is an image of a Triangle with a circle inside; with the help of this triangle, Solomon controlled the Evil Spirits.

Triangle - the triune nature of the universe: Heaven, Earth, Man;
father, mother, child; man as body, soul and spirit; mystical number three. Triangle pointing up

- means light symbolism of life (solar), fire, flame, heat (hence the horizontal line symbolizing air), masculinity, lingam, shakta, spiritual world; it is also the trinity of love, truth and wisdom. Denotes royal grandeur and has the color red as its symbol.

Downward facing triangle

- means the dark side, (lunar) and has symbolism of the feminine, womb, water, cold, nature, body, yoni, shakti. Symbolizes the Great Mother as a parent.

Triangle in a circle

- means the world of forms contained in the circle of eternity.

What does a triangle on the palm mean? What do moles in the shape of a triangle mean?

Magic amulets of triangular shape

Types of Triangular Symbols

Depending on the direction and type of figure, practitioners use amulets for protection or establishing a connection with the elements. The most common types are presented in the table:

The most famous amulet is the Seal of Solomon

The Seal of Solomon is used as an aid in finding one's path, protecting against aggression.
The talisman was created by superimposing a pair of equilateral triangles looking in opposite directions. It is believed that the great king lured an army of demons into such a magical trap and forced them to obey him. Having an amulet will be able to protect yourself from magical attacks and otherworldly aggressive entities, gain secret knowledge and find your own path in life. You can draw the symbol yourself, but the accuracy of the lines and proportions is required.

Depending on the purpose of the amulet, a specific day of the week is selected for making or purchasing.

Often the jewelry is worn in the form of a pendant or ring and is made of precious metals. Anyone can use amulets containing the power of triangles, regardless of gender and age. However, for the magical jewelry to work correctly, you must first charge the material by placing it under the sun or moon rays. Another effective way to charge is to use elemental powers.

Story

Leonardo da Vinci, manuscript A, fragment of folio 15v

Reuleaux is not the discoverer of this figure, although he studied it in detail. In particular, he considered the question of how many contacts (in kinematic pairs) are needed to prevent the movement of a flat figure, and using the example of a curved triangle inscribed in a square, he showed that even three contacts may not be enough to prevent the figure from rotating .

Some mathematicians believe that Leonhard Euler was the first to demonstrate the idea of ​​a triangle made of equal arcs of a circle in the 18th century. However, a similar figure was found earlier, in the 15th century: it was used in his manuscripts by Leonardo da Vinci. Reuleaux's triangle appears in his manuscripts A and B, kept at the Institute of France, as well as in the Madrid Codex.

Mappamundi. Leonardo da Vinci, around 1514

Around 1514, Leonardo da Vinci created one of the first world maps of its kind. The surface of the globe on it was divided by the equator and two meridians (the angle between the planes of these meridians is 90°) into eight spherical triangles, which were shown on the map plane by Reuleaux triangles, collected in fours around the poles.

Even earlier, in the 13th century, the creators of the Church of Our Lady in Bruges used the Reuleaux triangle as a shape for some windows.

Who can wear and how to use the amulet

The owner receives energy from the amulet if it is located in the chest area

It is recommended to wear the sign of Celtic magic on a chain. The amulet should be in the chest area. This way he will quickly gain energy and restore contact with his owner, acting as a protective shield . In a difficult situation, you need to squeeze it in your palms and say the request mentally or out loud.

According to magicians, Triquester has the following properties :

• protects from dark forces;
• attracts positive vibrations;
• raises the spirit of life;
• affects the biofield, strengthening and cleansing it;
• gives confidence in one’s capabilities;
• saves from the evil eye and damage.

On a note:

It will not be possible to fully use the magic of this sign, since its sacred meaning is hidden in the depths of centuries.

Reuleaux's triangle in art

Architecture

The shape of the Reuleaux triangle is also used for architectural purposes. The design of its two arcs forms a pointed arch characteristic of the Gothic style, but it is found in its entirety in Gothic buildings quite rarely. Windows in the shape of the Reuleaux triangle can be found in the Church of Our Lady in Bruges, as well as in the Scottish Church in Adelaide. As an element of ornament, it is found on the window bars of a Cistercian abbey in a Swiss commune.

The Reuleaux triangle is also used in architecture that does not belong to the Gothic style.
For example, a 103-meter tower called “”, built in 2006 in Cologne, represents exactly this figure in cross-section. Some usage examples

See also the category "Reuleaux triangles in architecture" on Wikimedia Commons

Shape and color

Reuleaux triangle in I. Itten's correspondences

According to the theory of Johannes Itten, in the “ideal”, part of the spectrum of each color resides in such a form (a geometric figure). Green color is a “derivative”: the result of mixing transparent blue and light yellow (without inclusion), and since in this model they correspond to a circle and a regular triangle, it is the figure called by I. Itten a spherical triangle, the Reuleaux triangle, that corresponds to green .

Literature

In Poul Anderson's science fiction story "The Triangular Wheel," a crew of earthlings crash-landed on a planet whose population did not use wheels because anything round was religiously prohibited. Hundreds of kilometers from the landing site, the previous earthly expedition left a warehouse with spare parts, but it was impossible to move from there the two-ton nuclear generator necessary for the ship without any mechanisms. As a result, the earthlings managed to comply with the taboo and transport the generator using rollers with a cross-section in the form of a Reuleaux triangle.

Buttons that can appear on a sheet

Seven buttons appear next to the cells: AutoCorrect Options

,
Paste Options
, AutoComplete Options,
Trace Error
,
Paste Options
, and
Apply Formatting Rule
.

AutoCorrect options

When you hover your mouse over the small blue box in the section of text that has been automatically corrected, an AutoCorrect Options

.
For example, if you type a hyperlink or email address into a cell, you might see an AutoCorrect Options
.
If you find text that you don't want to correct, you can undo the correction or turn AutoCorrect options on or off. To turn AutoCorrect options on or off, click the AutoCorrect Options
and select an option from the list.

Other options

There is another popular tattoo. Many people are interested in knowing its meaning. A triangle tattoo with a line is perhaps as popular as in the case of the all-seeing eye.

It is important to note one nuance. Lines may vary

And each has its own meaning. Zigzag, for example, is associated with a snake, lightning, and thunder. All this is a symbol of something large-scale, unexpected.

But if the line crosses the triangle in half horizontally, this is something more interesting. This tattoo symbolizes the feminine and masculine principles. And the origin of this symbol goes deep into history. And if a figure is divided by a line in half vertically, this is a symbol of balance, tranquility, and rationality.

As you can see, the values ​​are quite interesting. This is how sometimes small, even unremarkable tattoos can mean something profound and philosophical.

The triangle is found in the symbolism of all religious, esoteric and philosophical movements. This sign concentrates many sacred meanings that hide the deep secrets of the divine principle, macro- and microcosm.

The triangle is a symbol whose meaning reveals the principle of the hierarchy of the world. Its peak is the Great Unmanifested, God the Absolute, the source of all things.

A triangle with an image of an eye in its upper part is a sign of the dominance of the spiritual principle over the dense material worlds of the lower levels of reality.

The symbol of the triangle in its most extensive meaning is the sacred trinity of the universe. The three vertices of the triangle are a sign of the indivisible structure of the holographic universe and each unit manifested in it.

Three is a necessary number that forms a plane as the primary manifestation of something in space. The volume of the material world is possible only in a ternary coordinate system, where the model of any object can be divided into many triangles lying in different planes relative to each other.

In the Christian tradition, a triangle is a symbol of the Trinity: spirit, soul and body; father, son and holy spirit. In Christian painting, God the Father is symbolically depicted with a triangular halo above his head, or with a radiance in the form of two triangles intersecting and forming the sign of a six-pointed star.

Two triangles with oppositely directed vertices are also called Solomon's star. This symbol denotes the divine union of two opposite principles: male and female, active and passive, subtle and dense, heaven and earth. This symbol also carries the meaning of a harmonious combination of the four elements of nature in a single individual consciousness.

In the Slavs, the triangle carries the meaning of the sacred unity of three worlds: Reveal - the material world, Rule - the world of the gods and Navi - the world of spirits.

Three triangles intertwined with each other symbolize the completeness and perfection of the universe, triplicity on three levels of existence. In the numerological aspect, three triangles carry the meaning of nine, which is the integrity and universality of the universe. Beyond this number there follows only a ten - a unit at a new round of evolution. Therefore, three triangles are also a sign of transformation processes, the essence of destruction necessary for the further creation of a new one.

In an esoteric sense, the triangle symbol embodies the universal laws of the cosmic structure. This sign conceals both the Hermetic law of polarity and the philosophical principle of the unity and struggle of opposites. Three is two plus one, which in its meaning is comparable to the philosophical category of Tao from the Chinese tradition, where Yin and Yang, feminine and masculine are combined in perfect harmony of interaction.

According to the Righteous Ones - the ancient knowledge of the northern Magi - a triangle is a symbol of the indivisibility of three aspects of any manifestation: Lord, God and the Devil; universe, time and space; consciousness, movement and form. This sign reflects the metaphysical essence of the system, within which the creative act and dynamic existence itself are possible. The conscious individual creates the world around him through a dual pair of instruments: energy and matter. The loss of one of the three elements from the system plunges existence into the abyss of non-existence.

A triangle in a circle is a symbol of the orderliness of the manifested world in the disordered chaos of the eternal and infinite space of the universe. The image of a triangle enclosed in a circle is the appearance of the Creator God in three forms of existence. This sign is a universal cell, hologram and projection, according to the template of which the construction of the entire multi-level hierarchy of the world unfolds.

Symbol of the hierarchy of the world

The triangle is a symbol whose meaning reveals the principle of the hierarchy of the world. Its peak is the Great Unmanifested, God the Absolute, the source of all things. It is not for nothing that God as the supreme consciousness is symbolically depicted with a triangular halo above his head.

What does a triangle tattoo mean?

The triangle has not only many different properties, but also meanings; it is not for nothing that people often depict it as a tattoo on their body. The main meaning of this drawing lies in the three corners, which are a kind of symbol that connects opposites.

The main meaning comes from the Christian religion and symbolizes the “Trinity”: Father, Son and Holy Spirit. The triangle tattoo has the meaning of the unity of the three main components of a person: body, mind and soul. It is filled by people who are confident that they have succeeded as individuals. Some compare it to the triple meaning of birth, life and death, or life - death - new life. Thus, the cyclical nature of human life is clearly visible. This attracts people who often think about the meaning of life, philosophers.

Such a tattoo on the body is often taken as a symbol of marriage, which should be strong and based on the unity of spirit, mind and body. The tattoo is suitable for married couples: from newlyweds who have just sworn love and fidelity to each other, to spouses who have been married for a long time. For them, the triangle will symbolize the many years that they spent in joy and sorrow together.

This figure is suitable for both females and males. For girls, a triangle pattern on the body means three main cycles of life: girlhood, motherhood and old age. For men, the meaning is different: for them it is a symbol of wisdom, strength and beauty.

There can be many meanings and interpretations of a triangle tattoo, however, they all have a triple basis. The shapes of a triangle can also be varied, but most often they depict an isosceles geometric figure

The place where this ambiguous pattern is applied is important.

The area of ​​the body on which the triangle is depicted will emphasize the meaning of the tattoo. Painted with a certain color will acquire a special meaning that everyone can determine for themselves.

>Triangle tattoo: photos

And also several tattoos, where a geometric figure is only taken as a kind of “base”. Including the popular “triangle with an eye”.

Popular:

Variations and generalizations

Reuleaux polygon

Main article: Reuleaux polygon

Reuleaux heptagon built on an irregular stellated heptagon

The construction idea underlying the Reuleaux triangle can be generalized by using, to create a curve of constant width, not an equilateral triangle, but a stellated polygon formed by line segments of equal length. If from each vertex of a star polygon we draw a circular arc that connects its two vertices, then the resulting closed curve of constant width will consist of a finite number of arcs of the same radius. Such curves (as well as the figures bounded by them) are called Reuleaux polygons

.

Regular Reuleaux polygons

A family of Reuleaux polygons of a certain width a{\displaystyle a} forms an everywhere dense subset of the set of all curves of constant width a{\displaystyle a} (with the Hausdorff metric). In other words, with their help you can approximate any curve of constant width as accurately as you like.

Among Reuleaux polygons, there is a class of curves constructed on the basis of regular stellated polygons. This class is called regular Reuleaux polygons

. All the arcs that make up such a polygon have not only the same radius, but also the same length. The Reuleaux triangle, for example, is regular. Among all Reuleaux polygons with a fixed number of sides and the same width, regular polygons enclose the largest area.

The shape of such polygons is used in coinage: coins of a number of countries (in particular, 50 pence from Great Britain) are made in the form of a regular Reuleaux heptagon. There is a bicycle made by a Chinese officer, the wheels of which are shaped like a regular triangle and a Reuleaux pentagon.

Three-dimensional analogues

Reuleaux tetrahedron

A three-dimensional analogue of the Reuleaux triangle as the intersection of three circles is the Reuleaux tetrahedron

- the intersection of four identical balls, the centers of which are located at the vertices of a regular tetrahedron, and the radii are equal to the side of this tetrahedron.
However, the Reuleaux tetrahedron is not a body of constant width: the distance between the midpoints of opposite boundary curvilinear edges connecting its vertices is 3−22=1.02494...{\displaystyle {\sqrt {3}}-{\frac {\sqrt {2} }{2}}=1{,}02494\ldots }
times larger than the edge of the original regular tetrahedron.

However, the Reuleaux tetrahedron can be modified so that the resulting body turns out to be a body of constant width. To do this, in each of the three pairs of opposite curved edges, one edge is “smoothed” in a certain way. The two different bodies obtained in this way (the three edges on which the replacements occur can be taken either emanating from the same vertex or forming a triangle) are called Meissner bodies, or Meissner tetrahedra. The hypothesis formulated by Werner Fenchel in 1934 states that it is these bodies that minimize the volume among all bodies of a given constant width, however (as of 2011) this hypothesis has not been proven.

Finally, the body of revolution obtained by rotating the Reuleaux triangle around one of its axes of second-order symmetry is a body of constant width. It has the smallest volume among all bodies of rotation of constant width.

All about design options, features and meaning of triangle and circle tattoos

Among the tattoos you can find the most suitable design for your own taste and color. Since the owner then lives with the tattoo, the choice and image of the tattoo is individual. Moreover, a tattoo is not only a drawing. This is a designation for something. Each tattoo has a meaning, meaning, personification or just some sign. And in order to know what a tattoo is about, you need to spend a lot of time reading literature, spend a lot of time searching for information. But to make choosing a pattern easier, we’ll tell you about one of the many and very popular patterns called “Circle in a Triangle.”

It would seem just a triangle, a circle and, perhaps, something else in addition, a line, for example. But that's not true. There is a meaning here (even Malevich’s black square has it!). And what is the meaning of a triangle with a circle tattoo? Read on.

It’s not as complicated and absurd as with the black square of the well-known Malevich. In fact, the tattoo symbolizes several meanings at once. Yes, this happens too. Let's go through it in order.

Photos of finished “triangle and circle” tattoo designs:

Firstly, according to one version, man is a part of the Universe, this is the role of man in it. Also, each person is a small Universe in himself, which is difficult to disagree with.

Secondly, according to a different plan, this symbol possesses some kind of magic, the powers of spirits and nature. For a special ritual (exorcism), after which evil Spirits have the opportunity to leave a person, this symbol is precisely necessary.

Thirdly, there is also a sign in literature and cinema. For example, the work “Harry Potter”, in which one of the heroes had a clone with such a symbol. In the story, this means the Deathly Hallows.

And fourthly. Even history was not left out. According to rumors, the longtime ruler of Israel, Solomon, used magic, including the circle and triangle, to facilitate the solution of a particular problem. As they say, in war, all means are good! Moreover, this is a very good means of solving problems, if, of course, you know how to use it correctly. Solomon is not the only one so smart. There are other historical examples, but they are not particularly important. The main thing is that history has something to do with magic and this wonderful symbol - a circle in a triangle.

Fifthly, finally, one more of the many meanings. Also a little related to magic. The person with this tattoo accepts the trinitarian principles, accepting the belief in subsequent rebirths. He also accepts the cyclical development of nature, believing in the divinity of all living things, completely trusting his and only his fate.

And whatever your choice, let it be thoughtful, the drawing will be unique and beautiful! Colorful tattoos to everyone! And remember that tattoos will remain for a long time, if not forever, which is why you should not take your choice lightly.

Watch the video:

Triangle Orientation Value

In triangle tattoos, not only the content of the design is important, but also the direction of the geometric figure. If the top points up, it could mean:

• Sun
• Activity
• Upward movement
• Courage or man
• Father

An inverted triangle indicates:

• Moon
• Femininity or girl
• Mother
• Passivity
• Moving Down

Two triangles combined together can symbolize humanity. In addition, the figure often signifies creativity, simplicity and harmony. Triangles are some of the oldest symbols in the world and can have various meanings related to triplicity and unification beyond the scope of this article.

On the crest of a wave. Triangles

Continuation of the history of the origin of the figures. Ecology in working with triangles. Application of triangles in NeuroGraphics

The triangle is the sharpest shape. From time immemorial, dangers, conflicts, and unpredictability have been associated with it. In NeuroGraphics, triangles are used when it is necessary to give movement to stagnant processes. But along with movement, of course, the usual feeling of comfort goes away, so when working with triangles there are certain safety rules, or the ecology of your inner world.

Properties common to all triangles

If you add up all the angles of a triangle, you get a number equal to 180º

And it doesn't matter what type it is. This rule always applies. The numerical value of any side of a triangle is less than the other two added together

Moreover, it is greater than their difference. Each external angle has a value that is obtained by adding two internal angles that are not adjacent to it. Moreover, it is always larger than the internal one adjacent to it. The smallest angle is always opposite the smaller side of the triangle. And vice versa, if the side is large, then the angle will be the largest.

These properties are always valid, no matter what types of triangles are considered in the problems. All the rest follow from specific features.

Checking formulas in Excel, or what the green triangle means

The spell checking function in Word or Outlook is widely known. Much less often, users use formula checking in Excel. This idea was prompted by a comment to my post “Excel. Transformation, as it were, of numbers.” In the note, I proposed several relatively simple methods for converting “as if numbers” into real numbers. But the author of the comment, Sasha, noted that there are standard verification methods in Excel that are even simpler...

So, if you have data that looks like numbers, but is not a number (perceived by Excel as text), and a green triangle appears in the upper left corner of the cell (Fig. 1), select the area containing such data. In our example, this is A2:A24. A yellow diamond with an exclamation mark will appear. Click the down arrow and then click Convert to Number.

Rice. 1. Convert to number using validation

Download the note in Word format, examples in Excel format

Checking in Excel can reveal quite a lot of errors or inaccuracies. To use this tool to its fullest, you must, firstly, configure it, and, secondly, constantly run it.

Setting up error checking. Open Excel Options. Go to the "Formulas" tab. We will be interested in two areas: “Error Control” and “Error Control Rules” (Fig. 2).

Error Control area:

1. If background error checking is enabled (silent setting), then a green triangle will appear in a cell immediately after suspicious data is entered into it.
2. You can change the color of the triangle indicating an error.
3. Finally, you can reset missed errors if you want to check them again. Let me explain. If earlier during the scan you clicked the Ignore error button, the flagged error will be skipped during subsequent scans, and the green triangle will not be displayed. Therefore, you can reset previously missed errors to tackle them again.

Problems with different types of triangles

No. 1. Given an isosceles triangle. Its perimeter is known and equal to 90 cm. We need to find out its sides. As an additional condition: the side side is 1.2 times smaller than the base.

Solution

The value of the perimeter directly depends on the quantities that need to be found. The sum of all three sides will give 90 cm. Now you need to remember the sign of a triangle, according to which it is isosceles. That is, the two sides are equal. You can create an equation with two unknowns: 2a + b = 90. Here a is the side, b is the base.

Now it's time for an additional condition. Following it, the second equation is obtained: b = 1.2a. You can substitute this expression into the first one. It turns out: 2a + 1.2a = 90. After transformations: 3.2a = 90. Hence a = 28.125 (cm). Now it is easy to find out the basis. This is best done from the second condition: b = 1.2 * 28.125 = 33.75 (cm).

To check, you can add three values: 28.125 * 2 + 33.75 = 90 (cm). That's right.

Answer: The sides of the triangle are 28.125 cm, 28.125 cm, 33.75 cm.

No. 2. The side of an equilateral triangle is 12 cm. You need to calculate its height.

Solution. To find the answer, it is enough to return to the moment where the properties of the triangle were described. This is the formula for finding the height, median and bisector of an equilateral triangle.

n = a * √3 / 2, where n is the height and a is the side.

Substitution and calculation give the following result: n = 6 √3 (cm).

There is no need to memorize this formula. It is enough to remember that the height divides the triangle into two rectangular ones. Moreover, it turns out to be a leg, and the hypotenuse in it is the side of the original one, the second leg is half of the known side. Now you need to write down the Pythagorean theorem and derive a formula for height.

Answer: height is 6 √3 cm.

No. 3. Given MKR is a triangle, in which angle K makes 90 degrees. The sides MR and KR are known, they are equal to 30 and 15 cm, respectively. We need to find out the value of angle P.

Solution. If you make a drawing, it becomes clear that MR is the hypotenuse. Moreover, it is twice as large as the side of the KR. Again you need to turn to the properties. One of them has to do with angles. From it it is clear that the KMR angle is 30º. This means that the desired angle P will be equal to 60º. This follows from another property, which states that the sum of two acute angles must equal 90º.

Answer: angle P is 60º.

No. 4. We need to find all the angles of an isosceles triangle. It is known about it that the external angle from the angle at the base is 110º.

Solution. Since only the external angle is given, this is what you need to use. It forms an unfolded angle with the internal one. This means that in total they will give 180º. That is, the angle at the base of the triangle will be equal to 70º. Since it is isosceles, the second angle has the same value. It remains to calculate the third angle. According to a property common to all triangles, the sum of the angles is 180º. This means that the third will be defined as 180º – 70º – 70º = 40º.

Answer: the angles are 70º, 70º, 40º.

No. 5. It is known that in an isosceles triangle the angle opposite the base is 90º. There is a point marked on the base. The segment connecting it to a right angle divides it in the ratio of 1 to 4. You need to find out all the angles of the smaller triangle.

Solution. One of the angles can be determined immediately. Since the triangle is right-angled and isosceles, those that lie at its base will be 45º each, that is, 90º/2.

The second of them will help you find the relation known in the condition. Since it is equal to 1 to 4, the parts into which it is divided are only 5. This means that to find out the smaller angle of a triangle you need 90º/5 = 18º. It remains to find out the third. To do this, you need to subtract 45º and 18º from 180º (the sum of all angles of the triangle). The calculations are simple, and you get: 117º.

Answer: 18º, 45º, 117º

Comments

1. There are other transcription options for the Reuleaux surname. For example, I.M. Yaglom and V.G. Boltyansky in the book “Convex Figures” call it the “Rello triangle”.
2. The reference line passes through one point on the boundary of the figure without dividing the figure into parts.
3. ↑ The center of a Reuleaux triangle is the intersection point of all medians, bisectors and altitudes of its regular triangle.
4. For a Reuleaux triangle, this circle coincides with one of the three circles that form its boundary.
5. This statement follows from the combination of two theorems—the classical isoperimetric Dido problem and Barbier’s theorem.
6. This property fully characterizes
   figures of constant width. In other words, any figure around which the described square can be “rotated” will be a figure of constant width.
7. In the original - “We have all heard about left-handed monkey wrenches, fur-lined bathtubs, cast-iron bananas. We have all classified these things with the ridiculous and refused to believe that anything like that could ever happen, and right then along comes a tool that drills square holes!”
8. In other words, these arcs are equal.

Geometry

Before revealing the meaning of the triangle tattoo, it is worth noting that geometric shapes are very popular. And this form is the most common. Interestingly, the triangle is considered one of the very first drawings made by man. Another feature is that this pattern is universal. Or, as they say today, unisex. It will suit anyone. In fact, this feature is a plus. However, before you go to the salon to the master, you still need to find out the meaning. The triangle tattoo has it, despite the fact that the image is small and rather modest.

What does a triangle with an eye mean?

The double triangle, the six-pointed star, the Seal of Solomon, Mogun David, says that “every true analogy must be used in reverse,” “as above, so below.” Since three is considered a divine number, and four is an earthly number, the pose of the Hanged Man symbolizes suffering, the state before Salvation: the divine is hidden under the earthly. The following chain of analogies: a pyramid has a square in plan and a triangle in vertical section, the square corresponds to a cross formed by four cardinal points. The symbol of the Trinity is also a triangle with its apex facing upward with the “eye of God”. In ancient China, the square was also an important symbol, namely in the hands of the mythical sage Fu-Hsi, who is credited with discovering the system of knowledge expressed in the I Ching.

In Hinduism, a triangle is a sign that gives life to the goddess Dugra. And the Greek letter “delta”, which has the shape of a triangle in the Pythagorean system, is considered a symbol of space. Among the Masons, this figure, framed by nine rays, was used as an “all-seeing eye” and also symbolized deity. For many peoples, the figure of a triangle symbolized fire, flame, torch and bonfire. For example, an amulet that brings power over spirits is a triangle, the top of which is directed upward, and the name of the Almighty is inscribed in it.

I recommend:

Next competition From reliable sources we learned that at 1 year old she could walk independently from the hall to the bedroom

Let's see if you can repeat her first little one. Place a comma before the conjunction HOW. Please note: if the sentence continues after the clauses with the conjunction HOW, then you need to put another comma at the end of the clause. Unfortunately, the circumstances of the image are not always the same. Bandai figurine “The Main Characters of Star Wars” is collapsible in assortment. The assembled figurine of Bandai “The Main Characters of Star Wars” is a set that is a small construction set and which will definitely appeal to teenagers over 12 years old and adults

Details

Literature

In English

• Eggleston HG
  Sets of Constant Width // Convexity. - London: Cambridge University Press, 1958. - P. 122-131. — 136 p. - (Cambridge Tracts in Mathematics and Mathematical Physics, Vol. 47). — ISBN 0-5210-7734-6.
• Gardner M.
  Curves of Constant Width // The Unexpected Hanging and Other Mathematical Diversions. - Chicago; London: University of Chicago Press, 1991. - P. 212-221. — 264 p. — ISBN 978-0-2262-8256-5.
• Moon FC
  Curves of Constant Breadth // The Machines of Leonardo Da Vinci and Franz Reuleaux: Kinematics of Machines from the Renaissance to the 20th Century. - Dordrecht: Springer, 2007. - P. 239-241. — 451 p. — (History of Mechanism and Machine Science, Vol. 2). — ISBN 978-1-4020-5598-0.
• Peterson I.
  Rolling with Reuleaux // Mathematical Treks: From Surreal Numbers to Magic Circles. - Washington DC: Mathematical Association of America, 2002. - P. 141-144. — 180 p. - (Spectrum Series). — ISBN 0-8838-5537-2.

What does a triangle with an eye on a dollar mean?

The truncated pyramid on the dollar consists of thirteen levels, which represent the 13 states from which the United States was originally formed.

It is based on the assumption that Masonic symbolism and the “magic” of the number 13 are used here. So, the symbol of the priests of Ancient Egypt - a truncated pyramid, according to some supporters of the occult theory, reflects the so-called crowd-elite model of society, and the eye is in a triangle at the top personifies the deity of the Masons.

The All-Seeing Eye, which sees and knows everything, rises above the world, being the “invisible ruler.” Under the eye is society - a collection of bricks that together make up a stable pyramid.

Sign of spiritual superiority

A triangle with an image of an eye in its upper part is a sign of the dominance of the spiritual principle over the dense material worlds of the lower levels of reality. Masons proudly adopted this symbol, although it can also be found on some Orthodox churches.

The meaning of a triangle tattoo

The symbolism of triangles is incredibly diverse. They can represent different aspects of life and faith. Here are some of the most popular values:

• Past, present and future
• Thoughts, feelings and emotions
• Mind, body and spirit
• Creation, preservation and destruction
• Mother, father and child

For religious people, the triangle can mean the Holy Trinity. In the center of the geometric figure is an eye, also called the All-Seeing Eye, surrounded by light. Such tattoos symbolize the presence of the Lord, his help and support in business.

The ancient Greeks considered triangles to be portals that opened the way to higher wisdom. The Celts depicted it in knots and patterns in the form of a trixelion and a triquetra. Since ancient times, man has used triangles in his drawings and tattoos.

In numerology, the number three is a powerful mystical symbol. One means strength, two means discovery, and three means wisdom created by the fusion of the first two. Three triangles can emphasize this meaning.

Another common tattoo option is the Penrose triangle, which is a figure that cannot be translated into reality. It is depicted as three blocks connected to each other at right angles. It symbolizes the mystery and originality of its owner, and also indicates ingenuity and intelligence.

It is believed that triangles appeared long before the invention of writing. In nature, they are found in the forms of animals and plants, so it is not surprising that they are often depicted together.

An inverted triangle with a rose symbolizes feminine beauty. The peony inside the figure represents wealth, honor, romance and prosperity. Some people stuff it as a symbol of good luck and a happy marriage.

How to make a talisman with your own hands

If Triquetra helped our ancestors to improve everyday life and family relationships, then people in the present century can try to follow in their footsteps: making an amulet with your own hands is not so difficult.

Necessary materials

To work you will need :

• woven bag in light colors;
• thick red thread or cord;
• lavender and chamomile inflorescences;
• marker for paper and fabrics;
• citrus aroma oil or lemon zest;
• salt.

The effect of the magical symbol is enhanced by amethyst , so you can draw the Triquetra directly on the stone and wear the stone on a chain in the chest area. Alternatively, a stone with a symbol can be placed in a bag. The sign becomes more powerful when combined with lavender flowers.

Instructions on how to make a talisman

Step-by-step instructions for creating a northern talisman:

1. A small bag is sewn from light fabric and tied with a red cord.
2. Using a fabric marker, the Triquetra in the desired variation is depicted on the bag. You can transfer the drawing using carbon paper or buy a ready-made amulet and sew it in the center of the bag.
3. Chamomile and lavender flowers are added inside and a pinch of salt is added.
4. The finished product is sprayed with citrus aroma oil containing lemon zest.

The bag is placed in the apartment, not far from the front door, so that it remains unnoticed. It will drive away people who come with bad intentions and will help the owners improve family relationships. Will protect the health of household members and relieve them from magical attacks .

Individual meaning

A triangle tattoo is something special for every person.

So, for example, for girls this simple-looking figure can mean something important and profound. Triangle - displaying the three cycles of life of almost any woman

These are girlhood, motherhood and old age. Not everyone can think of this. However, such an explanation has existed for a long time, and many stuff the triangle deliberately for this purpose.

For men, figure means something else. The triangle also symbolizes the “trinity”, but in this case it is not a cycle of life, but qualities. To be more precise, wisdom, strength and beauty

By the way, it is very important which area was chosen for the tattoo. It is able to strengthen and emphasize the given meaning

Most often, such tattoos can be seen on the wrist, forearm or on the back of the head. These are the most popular options. But in fact, the person chooses the place himself.

Sometimes the triangles are painted over. Color also means a lot. Red symbolizes passion, black – negativity, green – security, orange – love of life. A shade can really tell a lot, so you need to choose it especially carefully. And, by the way, it is worth considering that on the skin the chosen color always looks 2-3 shades darker. You should be aware of this and select paint with awareness of this fact.

Walknut in a runic circle

At times, the symbol depicted on jewelry is complemented by runic signs. This variation is considered unconventional, believing that it arose much later than the original, closer to modern times. This attitude caused further disputes between experts and led to the fact that many pagans consider Valknut to be completely incompatible with runes.

The Valknut symbol is sometimes supplemented with runic signs.

However, Valknut in a runic circle can become a powerful amulet. It all depends on what signs complement it and what their meaning together is. If the entire runic row is enclosed in a circle, this will not bring any benefit. After all, instead of a spell, you will receive a simple list of runes in order. To enhance the meaning of sacred triangles, you need to compose a special runic spell with meaning.

The correct combination to help enhance the impact of the talisman is a cyclic image of four runes: Fehu, Uruz, Turisaz and Dagaz.

The meaning of this combination is as follows:

• Fehu. The meaning of this rune is knowledge of the inner Self and the World, a state of readiness to receive new knowledge.

• Uruz symbolizes vital energy, the driving force of everything and everyone, giving strength for ordinary life and creativity.

• The meaning of the Thurisaz rune is the path. It helps you move forward, overcoming obstacles that arise on the way to your goal.

• Dagaz is fraught with circularity, the beginning and end, the completion of any cycle and its obligatory transition to a new stage.

Links

• Wikimedia Commons has media related to Reuleaux triangle
• Videos from the “Mathematical Etudes” series dedicated to the Reuleaux triangle:
• Bogomolny A.
  (English).
  Cut the Knot
  . Retrieved October 11, 2011.
• Eppstein D.
  (English).
  Geometry Junkyard
  . Retrieved October 11, 2011.
• Kunkel P.
  (English).
  Whistler Alley Mathematics
  . Retrieved October 11, 2011.
• Peterson I.
  (English) (unavailable link).
  Ivars Peterson's MathLand
  . Mathematical Association of America. Retrieved October 11, 2011.
• Taimina D., Henderson DW
  (English).
  Kinematic Models for Design Digital Library
  . Cornell University. Retrieved October 11, 2011.
• .
  (English).
  Wolfram MathWorld
  . Retrieved November 6, 2011.