## Lemniscate sine

## Sinlemn

## Sinus lemniscatus

## Sl (elliptic function)

## Circles of Apollonius

Circles of Apollonius, any of several sets of circles associated with Apollonius Pelski, the famous Greek geometer. Most of these circles are found in planar Euclidean geometry, but analogs have been defined on other surfaces, for example, collea ...

## Brocard circle

In geometry, the Brocard circle of the triangle is a circle with a given triangle. It passes through the circumcenter and the symmedian of a triangle and is in the middle of a line segment connecting them.

## Circular sector

A circular sector or circle sector is a part of the disk enclosed by two radii and an arc, where the smaller area is called minor sector and the larger being the major sector. In the diagram, θ is the Central angle in radians, R {\the style prope ...

## Circular segment

In geometry, a circular segment is the area of a circle which cut off from the rest of the circle, a secant and a chord. More formally, a circular segment in two-dimensional space bounded by the arc of a circle and a chord connecting the end poin ...

## Circumscribed circle

## Concyclic polygon

## Extouch triangle

The vertices of the extouch triangle are given in trilinear coordinates: T A = 0: csc 2 ⁡ B / 2: csc 2 ⁡ C / 2 {\displaystyle T_{A}=0:\csc ^{2}{\leftB / 2\right}:\csc ^{2}{\leftC / 2\right}} T B = csc 2 ⁡ A / 2: 0: csc 2 ⁡ C / 2 {\displaystyle T_ ...

## Fuhrmann circle

In geometry, the Fuhrmann circle of a triangle, named after the German of William Furman, is a circle with diameter the line segment between the orthocenter H and {\the style property display the value of X} and Nagel point N {\the style property ...

## Incircle and excircles of a triangle

## Johnson circles

In geometry, a set of Johnson circles comprises three circles of equal radius R, one common point of intersection. in such a configuration the circles usually have a total of four intersections: point H that they all share, and for each of the th ...

## Malfatti circles

In geometry, the malfatti circles are three circles inside a given triangle such that each circle touches the other two and two triangle sides. They are named after Gian Francesco Malfatti, who was made in the beginning of the study the problem o ...

## Schinzel circle

The Schinzel circles are a set of circles with a given number of integer points on the circle. If the number n of points on the circle is even, n = k 2, the Schinzel circle is determined by the formula: x − 1 2 + y 2 = 1 4 5 k − 1 {\displaystyle ...

## Spieker circle

In geometry, the incircle of the medial triangle is the Spieker circle is named after the German geometer Spieker 19th century Theodore. Its center in the Spieker center, in addition to the fact that the incenter median of a triangle is the cente ...

## Tangent circles

In geometry, circles, tangent in a common plane that intersect in one point. There are two types of tangency: internal and external. Many problems and constructions in geometry are related to tangent circles, such problems often arise in real lif ...

## Tangent lines to circles

In Euclidean plane geometry, tangent to a circle is a line that touches the circle at exactly one point, not moving in circles. Lines tangent to circles form the subject of several theorems, and play an important role in many geometrical construc ...

## Van Lamoen circle

In Euclidean plane geometry, van Lamoen circle is a special circle associated with any triangle T {\the style property display value T}. It contains the circumcenters of the six triangles that are defined inside T {\the style property display val ...

## Prince Ruperts cube

In geometry, Prince ruperts cube is the largest cube that can pass through the hole, cut through the group of the cube, i.e. a cube whose sides have length 1, without splitting the cube into two parts. Its side length is approximately 6% more tha ...

## 5-Con triangles

In geometry, two triangles are considered to be 5-Kon or almost coincide if they are not congruent triangles, but they are similar triangles with a common side length. 5-Con triangles are important examples for understanding the solution of trian ...

## Calabi triangle

The Calabi triangle is a special triangle found Eugenio Calabi and is defined by its property of having three different locations over a large area that it contains. Its stupid of an isosceles triangle is irrational, but algebraic relationship be ...

## Right triangle

Right triangle and a right triangle is a triangle in which one angle is a right angle. The ratio between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is the hypotenuse side C in the fig ...

## Archimedean circle

In geometry Archimedes circle is any circle constructed from an arbelos that has the same radius as each of the twin circles of Archimedes. In ρ the radius of such a circle is given ρ = 1 2 r 1 − r, {\displaystyle \rho ={\frac {1}{2}}r\left1-r\ri ...

In geometry, Archimedes of quadruplets, four congruent circles associated with an arbelos. Made Frank power in the summer of 1998, each have the same area that the Archimedes twin circles, making them Archimedean circles.

## Schoch circles

In 1979, Thomas Schoch discovered a dozen new Archimedean circles; he sent his discoveries in "scientific American" with the "mathematical games" editor Martin Gardner. The manuscript was transferred to Leon Bankoff. Bankoff gave the manuscript t ...

## Schoch line

In geometry, the Schoch line is a line defined from the arbelos and Peter Woo named after Thomas Schoch, who studied it in conjunction with circles of Schoch.

## Twin circles

In geometry two circles are two special circles associated with an arbelos. The arbelos is defined by three points A, B, and C is the curvilinear triangular region between the three semicircles that AB, BC and AC as their diameters. If the arbelo ...

## Straightedge and compass construction

Ruler and compass construction, also known as the ruler and compass construction or classical construction, the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass. The idealized ruler, known as ...

## Compass equivalence theorem

The theorem of equivalence compass is an important statement in compass and ruler constructions. The tool was made by Plato in these constructions is the divider or crashing the compass, i.e. the compass "collapses" when he rises from the page, s ...

## 360-gon

A regular 360-gon represented by the Schlafli symbol {360}, and can also be designed as a truncated 180-gon, T{180}, or double-truncated enneacontagon, TT{90}, or thrice-truncated tetracontapentagon, TTT{45}. One interior angle in a regular 360-g ...

## Apothem

In the apothem of a regular polygon is a segment from the center to the middle of one of its sides. Equivalently, a line drawn from the center of the polygon perpendicular to one of its sides. The word "apothem" can also refer to the length of th ...

## Concave polygon

A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have at least one reflex interior angle - i.e. the angle with a measure between 180 degrees and 360 degrees exclusive. Some of the lines ...

## Dual polygon

Regular polygons are self-dual. Dual of the isogonal vertices, transitive polygon is an isotoxal edge-transitive polygon. For example, isogonal rectangle and rhombus isotoxal Douala. In a cyclic polygon, the more sides the more the outer corners ...

## Enneacontagon

In geometry enneacontagon or enenecontagon or 90-gon ninety-gon. The sum of any interior angles enneacontagons 15840 degrees. Normal enneacontagon presents the Schlafli symbol {90} and can be constructed as a truncated tetracontapentagon, T{45}, ...

19 is a Pierpont Prime but not Fermat Prime, the regular enneadecagon cannot be constructed using compass and ruler. However, constructible using a neusis, or an angle trisector. Another rough animation of the construction. Based on the unit circ ...

## Equiangular polygon

In Euclidean geometry, an equilateral polygon is a polygon whose vertex angles are equal. If the lengths of the sides equal is a regular polygon. Isogonal polygons equilateral polygons, two alternating edge lengths.

## Equilateral pentagon

In geometry, an equilateral Pentagon is a polygon with five sides of equal length. Five internal angles, in turn, may have different sets of values, which allowed her to form a family of pentagons. The requirement is that all angles must add up t ...

## Equilateral polygon

In geometry, three or more than three straight lines to make a polygon and an equilateral polygon is a polygon which has all sides of equal length. Except in the cases of the triangle, it should not be equilateral, but if so, it is a regular poly ...

In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside the quadrilateral. He was also named exscriptible quadrilateral. The circle is called an excirc ...

## Golygon

In golygon is a polygon with right angles whose sides are consecutive integer lengths. Golygons was invented and named by Lee Sallows, and popularized by A. K. Dewdney in scientific American column in 1990. Variations on the definition golygons p ...

## Hendecagon

A regular hendecagon represented by the Schlafli symbol {11}. A regular hendecagon has internal angles 147. 27 degrees =147 3 11 {\the style property display the value of {\tfrac {3}{11}}} degrees. The area of a regular hendecagon with side lengt ...

## Heptacontagon

In geometry, heptacontagon or 70-gon is seventy-gon. The sum of any interior angles heptacontagons 12240 degrees. Normal heptacontagon presents the Schlafli symbol {70}, and can also be designed as a truncated triacontapentagon, T{35}, alternatin ...

## Icosidigon

As 22 = 2 × 11 icosidigon can be constructed by truncating the regular hendecagon. However icosidigon not having dealt with a compass and a ruler since 11 is Prime farm. Therefore, icosidigon cannot be built even with the angle trisector, because ...

## Icosihexagon

In geometry icosihexagon or 26-gon is a twenty-six-gon. The sum of any interior angles icosihexagons 4320 degrees.

## Icosioctagon

In geometry icosioctagon or 28-gon is twenty-eight square. The sum of any interior angles icosioctagons is 4680 degrees.

## Infinite skew polygon

In geometry, the infinite skewness of a skew polygon or an apeirogon infinite 2-polyhedron has vertices that are not all collinear. Endless zigzag skew polygons 2-dimensional and infinite skew polygons with vertices alternating between the two pa ...

## Isosceles trapezoid

In Euclidean geometry, the isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. This is a special case of a trapezoid. In addition, it can be defined as a trapezoid in which both legs and bot ...

## Encyclopedic dictionary

Translation
 аҧсуа Afaraf Afrikaans Akan Shqip አማርኛ العربية Aragonés Հայերեն অসমীয়া авар мацӀ avesta aymar aru azərbaycan dili bamanankan башҡорт теле euskara Беларуская বাংলা भोजपुरी Bislama bosanski jezik brezhoneg български език ဗမာစာ Català Chamoru нохчийн мотт chiCheŵa 中文 чӑваш чӗлхи Kernewek corsu ᓀᐦᐃᔭᐍᐏᐣ hrvatski česky dansk ދިވެހި Nederlands English Esperanto eesti Eʋegbe føroyskt vosa Vakaviti suomi français Fulfulde Galego ქართული Deutsch Ελληνικά Avañeẽ ગુજરાતી Kreyòl ayisyen Hausa עברית עברית Otjiherero हिन्दी Hiri Motu Magyar Interlingua Bahasa Indonesia Originally called Occidental Gaeilge Asụsụ Igbo Iñupiaq Ido Íslenska Italiano ᐃᓄᒃᑎᑐᑦ 日本語 basa Jawa kalaallisut ಕನ್ನಡ Kanuri कश्मीरी Қазақ тілі ភាសាខ្មែរ Gĩkũyũ Ikinyarwanda кыргыз тили коми кыв KiKongo 한국어 كوردی‎ Kuanyama latine Lëtzebuergesch Luganda Limburgs Lingála ພາສາລາວ lietuvių kalba Luba-Katanga latviešu valoda Gaelg македонски јазик Malagasy fiteny بهاس ملايو‎ മലയാളം Malti te reo Māori मराठी Kajin M̧ajeļ монгол Ekakairũ Naoero Dinékʼehǰí Norsk bokmål isiNdebele नेपाली Owambo Norsk nynorsk Norsk ꆈꌠ꒿ Nuosuhxop isiNdebele Occitan ᐊᓂᔑᓈᐯᒧᐎᓐ ѩзыкъ словѣньскъ Afaan Oromoo ଓଡ଼ିଆ ирон æвзаг ਪੰਜਾਬੀ पाऴि فارسی polski پښتو Português Runa Simi rumantsch grischun kiRundi română русский язык संस्कृतम् sardu سنڌي، سندھی‎ Davvisámegiella gagana faa Samoa yângâ tî sängö српски језик Gàidhlig chiShona සිංහල slovenčina slovenščina Soomaaliga Sesotho español Basa Sunda Kiswahili SiSwati svenska தமிழ் తెలుగు تاجیکی‎ ไทย ትግርኛ བོད་ཡིག Türkmen Wikang Tagalog Setswana faka Tonga Türkçe Xitsonga تاتارچا‎ Twi Reo Tahiti ئۇيغۇرچە‎ українська اردو أۇزبېك‎ Tshivenḓa Tiếng Việt Volapük Walon Cymraeg Wollof Frysk isiXhosa ייִדיש Yorùbá Saɯ cueŋƅ аҧсуа Afaraf Afrikaans Akan Shqip አማርኛ العربية Aragonés Հայերեն অসমীয়া авар мацӀ avesta aymar aru azərbaycan dili bamanankan башҡорт теле euskara Беларуская বাংলা भोजपुरी Bislama bosanski jezik brezhoneg български език ဗမာစာ Català Chamoru нохчийн мотт chiCheŵa 中文 чӑваш чӗлхи Kernewek corsu ᓀᐦᐃᔭᐍᐏᐣ hrvatski česky dansk ދިވެހި Nederlands English Esperanto eesti Eʋegbe føroyskt vosa Vakaviti suomi français Fulfulde Galego ქართული Deutsch Ελληνικά Avañeẽ ગુજરાતી Kreyòl ayisyen Hausa עברית עברית Otjiherero हिन्दी Hiri Motu Magyar Interlingua Bahasa Indonesia Originally called Occidental Gaeilge Asụsụ Igbo Iñupiaq Ido Íslenska Italiano ᐃᓄᒃᑎᑐᑦ 日本語 basa Jawa kalaallisut ಕನ್ನಡ Kanuri कश्मीरी Қазақ тілі ភាសាខ្មែរ Gĩkũyũ Ikinyarwanda кыргыз тили коми кыв KiKongo 한국어 كوردی‎ Kuanyama latine Lëtzebuergesch Luganda Limburgs Lingála ພາສາລາວ lietuvių kalba Luba-Katanga latviešu valoda Gaelg македонски јазик Malagasy fiteny بهاس ملايو‎ മലയാളം Malti te reo Māori मराठी Kajin M̧ajeļ монгол Ekakairũ Naoero Dinékʼehǰí Norsk bokmål isiNdebele नेपाली Owambo Norsk nynorsk Norsk ꆈꌠ꒿ Nuosuhxop isiNdebele Occitan ᐊᓂᔑᓈᐯᒧᐎᓐ ѩзыкъ словѣньскъ Afaan Oromoo ଓଡ଼ିଆ ирон æвзаг ਪੰਜਾਬੀ पाऴि فارسی polski پښتو Português Runa Simi rumantsch grischun kiRundi română русский язык संस्कृतम् sardu سنڌي، سندھی‎ Davvisámegiella gagana faa Samoa yângâ tî sängö српски језик Gàidhlig chiShona සිංහල slovenčina slovenščina Soomaaliga Sesotho español Basa Sunda Kiswahili SiSwati svenska தமிழ் తెలుగు تاجیکی‎ ไทย ትግርኛ བོད་ཡིག Türkmen Wikang Tagalog Setswana faka Tonga Türkçe Xitsonga تاتارچا‎ Twi Reo Tahiti ئۇيغۇرچە‎ українська اردو أۇزبېك‎ Tshivenḓa Tiếng Việt Volapük Walon Cymraeg Wollof Frysk isiXhosa ייִדיש Yorùbá Saɯ cueŋƅ
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