In any cyclic " n "-gon with even " n ", the sum of one set of alternate angles ( the first, third, fifth, etc . ) equals the sum of the other set of alternate angles.
12.
In any cyclic " n "-gon with even " n ", the sum of one set of alternate angles ( the first, third, fifth, etc . ) equals the sum of the other set of alternate angles.
13.
The " byobu-ori " ( tenaille lines formed by making alternate angles salient and re-entering ), which can be seen from the south of the inner castle to the area to the east of the inner castle, is enormous.
14.
White accepted the challenge by way of a nod and can be seen in several alternate angles ( as shown on The Footy Show ) responding " Come on ! ", shortly after licking the blood from his lips in a provocative manner.
15.
Volume 3 of the English edition features a single panel of a dog being decapitated which was redrawn from an alternate angle, and Japanese volume 18 ( volume 6 ) has several redrawn panels where a mutilated dog was changed into a large rat.
16.
Happy coincidence also plays its part, as when a time travel story arc saw Bolland's work coincide with the plot in such a way that he was able to produce a recreated cover from an alternate angle to shed new light on an initially inconsequential image.
17.
Proposition 1.27 of Euclid's elements, a theorem of absolute geometry ( hence valid in both hyperbolic geometry and Euclidean Geometry ), proves that if the angles of a pair of alternate angles of a transversal are congruent then the two lines are parallel ( non-intersecting ).
18.
A tangential polygon ( one that has an incircle tangent to all its sides ) is equilateral if and only if the alternate angles are equal ( that is, angles 1, 3, 5, . . . are equal and angles 2, 4, . . . are equal ).
19.
:: And the next case, if you're interested : a hexagon ABCDEF is cyclic if and only if the sum of both sets of alternate angles ( A + C + E and B + D + F ) is 360 degrees . ?! talk ) 11 : 39, 30 March 2012 ( UTC)
20.
There are two different versions of the DVD set : one with a 5.1 Dolby Digital surround soundtrack and the other with a 5.1 alternate angle switching, however all the additional performances found via the hidden easter eggs on the DTS version are included in DTS 5.1 surround; on the Dolby version they are in Dolby 2.0 stereo only.
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