 | John Playfair - 1829 - 210 σελίδες
...each other; then will the other two sides be equal, each to each, and the third angle of one triangle to the third, angle of the other. Let ABC, DEF be two triangles which have the angles B, C equal to the angles E, F, each to each, and the side UC equal to EF; then the other sides will... | |
 | Pierce Morton - 1830 - 584 σελίδες
...sides are opposite, and the base, or third side, of the one shall be equal to the base, or third side, of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. AB to DE, and Л С to D F. and... | |
 | John Playfair - 1832 - 358 σελίδες
...sides opposite to the equal angles in each; then shall the other sides be equal, eachtoeach; and also the third angle of the one to the third angle of the...two triangles which have the angles ABC, BCA equal to'the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD; also one side equal to one side; and first,... | |
 | John Playfair - 1833 - 346 σελίδες
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the...ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal to one side... | |
 | William Sullivan - 1833 - 380 σελίδες
...opposite to the 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. But to prove that such equality exists, a process of reasoning must be gone through. To make out that... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...which has its third side the greater, shall be greater than the angle between the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF respectively, viz. AB to DE, and AC to DF ; but the third... | |
 | Euclides - 1834 - 518 σελίδες
...each, then shall the other sides be equal, each to each, and also the third angle of the one, to Ike third angle of the other. Let ABC, DEF be two triangles,...the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one side equal to one side : and first, let those... | |
 | Euclid - 1835 - 540 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 ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC to DEF,... | |
 | Robert Simson - 1835 - 544 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 ABC,DEFbe two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF,... | |
 | John Playfair - 1836 - 148 σελίδες
...side, the triangles shall be equivalent. Let ABC, DEF be two triangles which have the angles ABC, BC A, equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD ; also let BC be equal to EF, the triangles shall be equivalent. Because the three angles in each of... | |
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... 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 ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. 
