 | Euclides - 1879 - 146 σελίδες
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two As ACS, ADB, which have their sides CA, DA, terminated at the extremity A of the base,... | |
 | George Albert Wentworth - 1879 - 196 σελίδες
...= Z B, side BC — side A C. .' . A ABC is equilateral. PAGE 52. Ex. ABC and ^^Z> are two triangles on the same base AB, and on the same side of it, the vertex of each triangle being without the other. If AC equal AD, show that BC cannot equal BD.... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, ADB, having their sides CA, DA, which are terminated at the extremity A... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...which are terminated in the other extremity of the base equal to each other. Suppose it possible that on the same base, AB, and on the same side of it — eg above it — there can be two triangles, ACB and ADB, having the sides AC and AD terminated... | |
 | T S. Taylor - 1880 - 152 σελίδες
...terminated in the other extremity equal. Particular Enunciation. Given. — The two triangles CAB, DA B, on the same base AB, and on the same side of it. Required. — To prove that the two sides CA, DA cannot be equal, and have the sides CB, DB equal;... | |
 | Isaac Todhunter - 1880 - 208 σελίδες
...angle BEC, so that each of them is a right angle. Next let the two isosceles triangles ACB, ADB be on the same base AB, and on the same side of it. Join CD and produce it to meet AB at E. It may be shewn as before that AE is equal to BE, and that... | |
 | George Albert Wentworth - 1881 - 266 σελίδες
...Substitute for EC its equal EB, Then AE+ EB> AC, or AB > A C. QED Ex. ABC and AB D are two triangles on the same base AB, and on the same side of it, the vertex of each triangle being without the other. If AC equal AD, show that B С cannot equal BD,... | |
 | 1882 - 486 σελίδες
...separate Answer Books, and placed in different Envelopes. SECTION A. 1. If two triangles (ACB, ADI5) on the same base (AB) and on the same side of it, have one pair of conterminous sides (AC, AD) equal to one another, the other pair of conterminous sides... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, ADB, having their sides CA, DA, to one another, and likewise their sides... | |
 | Euclides - 1884 - 434 σελίδες
...of it cannot have their conterminous sides equal. ABABAB If it be possible, let the two As ABC, ABD on the same base AB, and on the same side of it, have AC = AD, and BC = BD. Three cases may occur : (1) The .vertex of each A may be outside the other... | |
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On the same base, and on the same side of it, there cannot be two triangles... 
