 | Robert Potts - 1876 - 446 σελίδες
...which is adjacent to their equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And... | |
 | Edward Atkins - 1876 - 130 σελίδες
...BC, adjacent to the equal angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — .-. AB = namely, AB equal to CD, AC to BD, and the angle BAC to BD, ^BAC the angle CDB (I. 26).... | |
 | Edward Atkins - 1877 - 72 σελίδες
...BC, adjacent to the equal angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — namely, AB equal to CD, AC to BD, aud the angle BAC to the angle CDB (I. 26). And because the angle... | |
 | Elias Loomis - 1877 - 458 σελίδες
...BD included between these equal angles common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other (Pr. 7), viz., the side AB to the side CD, and AD to BC, and the angle BAD equal to the angle BCD.... | |
 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...sides opposite to equal angles in each; then shall the other sides be equal, each to each ; and also the. third angle of the one to the third angle of the other. Let L ABC = L DEF, and L ACB = L DFE; and first, Let the sides adjacent to the equal L s in each be equal,... | |
 | Moffatt and Paige - 1879 - 428 σελίδες
...each, then shall the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...one side equal to one side, namely, the sides opposite to equal angles in each, the other sides shall be equal, each to each, and the third angle of the one equal to the third angle of the other. Prove that the point of intersection of the diagonals of a square,... | |
 | Elias Loomis - 1880 - 456 σελίδες
...the included side of the other, each to each, the two triangles will be equal, the other sides mil be equal each to each, and the third angle of the...other. Let ABC, DEF be two triangles having the angle 13 equal to E, the angle C equal to F, and the included sides BC, EF equal to each other ; then will... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely, the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...two sides shall be equal, each to each, and also the third angle of the one triangle shall be equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC and ACB in the former = the angles DBF and DFE in the latter, each to each... | |
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BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. 
