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Page "Convex and concave polygons" ¶ 6
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Every and triangle
Every time a pixel on a triangle is rendered, the corresponding texel ( or texture element ) in the texture must be found.
Every prisoner had to wear a downward-pointing triangle on his or her jacket, the colour of which was to categorise him or her by " kind ".
Every triangle has three distinct excircles, each tangent to one of the triangle's sides.
* The Triangle Is Right — A spoof on the title The Price Is Right — Every question is answered with the response, " A triangle " ( a possible indirect reference to the real-life quiz show scandals of the ' 50s ).
* Every triangle is isosceles, i. e. or or.
Every maximal outerplanar graph satisfies a stronger condition than Hamiltonicity: it is node pancyclic, meaning that for every vertex v and every k in the range from three to the number of vertices in the graph, there is a length-k cycle containing v. A cycle of this length may be found by repeatedly removing a triangle that is connected to the rest of the graph by a single edge, such that the removed vertex is not v, until the outer face of the remaining graph has length k.
Every maximal outerplanar graph with n vertices has exactly 2n − 3 edges, and every bounded face of a maximal outerplanar graph is a triangle.
* Every triangle group T is a discrete subgroup of the isometry group of the sphere ( when T is finite ), the Euclidean plane ( when T has a Z + Z subgroup of finite index ), or the hyperbolic plane.
Every chordal graph is a strangulated graph, a graph in which every peripheral cycle is a triangle, because peripheral cycles are a special case of induced cycles.
Every triangle and space between include Qliphoth's name ( see image on the right ).
Every triangle has exactly three medians: one running from each vertex to the opposite side.
Every non degenerate triangle has such a point.
* Every object Y can be embedded in a distinguished triangle with,

Every and is
Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.
Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.
Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.
Every single problem touched on thus far is related to good marketing planning.
Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Every man in every one of these houses is a Night Rider.
Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
** Every infinite game in which is a Borel subset of Baire space is determined.
Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).
Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.
Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.
* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =
Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.
Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.

Every and strictly
Every associative algebra is obviously alternative, but so too are some strictly nonassociative algebras such as the octonions.
Not strictly a philosopher, he had a major impact on the quest for a Protestant philosophy ( see Jacob Klapwijk, " John Calvin " in the volume he edited with Griffioen and Groenewoud, Bringing into Captivity Every Thought ( Eng trans 1991 ; pp 241 – 266 )).
' Every positive law, or every law simply and strictly so called, is set, directly or circuitously, by a sovereign person or body, to a member or members of the independent political society wherein that person or body is supreme.
Every foreigner was strictly interrogated on landing as to what his business might be ; and if he had not a reasonable answer to give, he was sent back by the next vessel, and often very unceremoniously treated.
Every fully characteristic subgroup is a strictly characteristic subgroup, and a fortiori a characteristic subgroup.

Every and convex
Every subset A of the vector space is contained within a smallest convex set ( called the convex hull of A ), namely the intersection of all convex sets containing A.
Every polyhedron, regular and irregular, convex and concave, has a dihedral angle at every edge.
Every antiparallelogram has an isosceles trapezoid as its convex hull, and may be formed from the diagonals and non-parallel sides of an isosceles trapezoid.
: Every correspondence that maps a compact convex subset of a locally convex space into itself with a closed graph and convex nonempty images has a fixed point.
* Every locally convex topological vector space has a neighbourhood basis consisting of barrelled sets.
* Every metrisable locally convex space with continuous dual carries the Mackey topology, that is, or to put it more succinctly every Mackey space carries the Mackey topology
Every ( bounded ) convex polytope is the image of a simplex, as every point is a convex combination of the ( finitely many ) vertices.
Every convex centrally symmetric polyhedron P in R < sup > 3 </ sup > admits a pair of opposite ( antipodal ) points and a path of length L joining them and lying on the boundary ∂ P of P, satisfying

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