In function generators, this triangle wave may then be further shaped into a close approximation of a sine wave.

A triangle is non-degenerate if each edge has positive length, so it may be assumed that a and b are greater than 0.

A right triangle always includes a 90 ° ( π / 2 radians ) angle, here labeled C. Angles A and B may vary.

In classical geometry, a proposition may be a construction that satisfies given requirements ; for example, Proposition 1 in Book I of Euclid's elements is the construction of an equilateral triangle.

Consequently, the number of m-faces of an n-simplex may be found in column ( m + 1 ) of row ( n + 1 ) of Pascal's triangle.

The book introduces the concept of spherical triangle ( figures formed of three great circle arcs, which he named " trilaterals ") and proves Menelaus ' theorem on collinearity of points on the edges of a triangle ( which may have been previously known ) and its analog for spherical triangles.

It may also have been associated with the Holy Trinity, as in the three hares motif, representing the " One in Three and Three in One " of which the triangle or three interlocking shapes such as rings are common symbols.

The interchangeability of the equation may be represented by a triangle, where V ( voltage ) is placed on the top section, the I ( current ) is placed to the left section, and the R ( resistance ) is placed to the right.

Again, the work triangle is preserved, and there may even be space for an additional table at a third wall, provided it does not intersect the triangle.

The beams may be broken, forming cubes or cuboids ; the logo of National Westminster Bank, comprising three chevrons that form a broken hexagon, has sometimes been depicted with the chevrons as two sides of cubes forming the corners of a Penrose triangle.

Once triangle vertices are transformed to their proper 2d locations, some of these locations may be outside the viewing window, or the area on the screen to which pixels will actually be written.

Intestinal organs may herniate through several parts of the diaphragm, posterolateral ( in Bochdalek's triangle, resulting in Bochdalek's hernia ), or anteromedial-retrosternal ( in the cleft of Larrey / Morgagni's foramen, resulting in Morgagni-Larrey hernia, or Morgagni's hernia ).

The first 32 rows of Pascal's triangle ( beginning with row zero ) may be calculated with

More specifically, consider a triangle ABC, and a point P that is not one of the vertices A, B, C. Drop perpendiculars from P to the three sides of the triangle ( these may need to be produced, i. e., extended ).

Thus, the area K of a triangle may be found by multiplying the inradius by the semiperimeter:

Accordingly, sexual behavior with the sexual partner of a friend may damage the friendship ( see love triangle ).

There has been speculation that the Mayans of Central America may have described the nebula within their " Three Hearthstones " creation myth ; if so, the three would correspond to two stars at the base of Orion, Rigel and Saiph, and another, Alnitak at the tip of the " belt " of the imagined hunter, the vertices of a nearly perfect triangle with Orion's Sword ( including the Orion Nebula ) in the middle seen as the smudge of smoke from copal incense in a modern myth, or, in ( the translation it suggests of ) an ancient one, the literal or figurative embers of a fiery creation.

The SID features three-voice synthesis, where each voice may use one of at least five different waveforms: square wave ( with variable duty cycle ), triangle wave, sawtooth wave, pseudo-random ( but not white ) noise, and certain complex / combined waveforms when multiple waveforms are selected simultaneously.

A voice playing Triangle waveform may be ring-modulated with one of the other voices, where the triangle waveform's bits are inverted when the modulating voice's msb is set, producing a discontinuity and change of direction with the Triangle's ramp.

As a tapa, it may be cut into bite-size pieces and served on cocktail sticks, or cut into pie style ( triangle ) portions ( pincho de tortilla ).

Stylistic levels may be hierarchized as an inverted triangle:

Though, taken individually, the big rooms were, or seemed to be, square, the apartment as a whole formed a triangle.

could piece, as it were, the jumbled mass together into an organized whole and then recognize it as a man or a triangle or whatever it turned out to be.

If one also removes the second postulate (" a line can be extended indefinitely ") then elliptic geometry arises, where there is no parallel through a point outside a line, and in which the interior angles of a triangle add up to more than 180 degrees.

The triangle can also be represented:

The binomial coefficients can be arranged to form Pascal's triangle.

These coefficients for varying n and b can be arranged to form Pascal's triangle.

Bliss found especially useful their " triangle of reference ": the physical thing or " referent " that we perceive would be represented at the right angle ; the meaning that we know by experience ( our implicit definition of the thing ), at the top angle ; and the physical word that we speak or write, at the left angle.

The wheels can be any regular polygon except a triangle, but the catenary must have parameters corresponding to the shape and dimensions of the wheels.

To do this a " cow " or " pig " adaptor can be added to the end of the condenser, or for better results or for very air sensitive compounds a Perkin triangle apparatus can be used.

The Perkin triangle, has means via a series of glass or Teflon taps to allows fractions to be isolated from the rest of the still, without the main body of the distillation being removed from either the vacuum or heat source, and thus can remain in a state of reflux.

Ideally, the Slaves would be positioned at the vertices of an equilateral triangle with the Master at the centre.

The latter case with the function f can be expressed by a commutative triangle.

Some modern treatments add a sixth postulate, the rigidity of the triangle, which can be used as an alternative to superposition.

Other figures, such as lines, triangles, or circles, are named by listing a sufficient number of points to pick them out unambiguously from the relevant figure, e. g., triangle ABC would typically be a triangle with vertices at points A, B, and C.

Weimar triangle ; Germany continues to be active economically in the states of central and eastern Europe, and to actively support the development of democratic institutions.

Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.

Calvino takes the fact that the Moon used to be much closer to the Earth, and builds a story about a love triangle among people who used to jump between the Earth and the Moon, in which lovers drift apart as the Moon recedes.

It is traditionally and most often represented pictorially either as a triangle or a turtle icon ( though it can be represented by any icon ).

Dharana is the beginning of concentration, usually on a single shape, like a triangle, which eventually leads to Dhyana, the loss of distinction between object and subject, which can be described as the annihilation of the ego ( or sense of a separate self ).

As one wraps around the polygon, these triangles with positive and negative area will overlap, and the areas between the origin and the polygon will be cancelled out and sum to 0, while only the area inside the reference triangle remains.

One side of the triangle cannot be changed without affecting the others.

Platonic form can be illustrated by contrasting a material triangle with an ideal triangle.