An Encyclopaedia of Architecture, Historical, Theoretical, and Practical |
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Page 264
Fig . 235 Let AB ( fig . 235 . ) be the given line upon which it is required to
describe a triangle whose three sides shall be equal . D _ From the point A , with
the radius AB , describe the circumference BCD , and from the point B , with the
radius ...
Fig . 235 Let AB ( fig . 235 . ) be the given line upon which it is required to
describe a triangle whose three sides shall be equal . D _ From the point A , with
the radius AB , describe the circumference BCD , and from the point B , with the
radius ...
Page 268
equal . c D But the angle = is equal to the alternate angle B , and the angle y to
the alternate angle C . Therefore , substituting B for x , and C for y , the three
angles B , A , C are together equal to two right angles . CorollARY . Hence , if two
...
equal . c D But the angle = is equal to the alternate angle B , and the angle y to
the alternate angle C . Therefore , substituting B for x , and C for y , the three
angles B , A , C are together equal to two right angles . CorollARY . Hence , if two
...
Page 269
Hence , the diagonal bisects the parallelogram ; for the triangles BAD , BCD ,
having the three sides equal , are identical . 903 . Prop . XXVIII . Parallelograms
which are between the same parallels , and have the same base , are equal . Let
the ...
Hence , the diagonal bisects the parallelogram ; for the triangles BAD , BCD ,
having the three sides equal , are identical . 903 . Prop . XXVIII . Parallelograms
which are between the same parallels , and have the same base , are equal . Let
the ...
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