 | Charles Hutton - 1811 - 406 σελίδες
...another. 11. Angles that have equal measures, or arcs, are equal. THEOREM I. IF two Triangles have Two Sides and the Included Angle in the one, equal to Two Sides and the Included Angle in the other, the Triangles will be Identical, or equal in aU respects. In the two triangles AEC, DEF, if the side... | |
 | Charles Hutton - 1816 - 610 σελίδες
...one another. 11. Angles that have equal measures, or arcs, are equal. THEOREM I IF two Triangles have Two Sides and the Included Angle . in the one, equal to Two Sides and the Included Aiuile in the other, the Triangles will be Identical, or equal in all respects. , In the two triangles... | |
 | Charles Hutton - 1822 - 616 σελίδες
...Angles that have equal measures, or arcs to the same radius, are equal. THEOREM I. IF two Triangles have Two Sides and the Included Angle in the one, equal to Two Sides and the Included Angle in the other, the Triangles will be Identical, or equal in all respects. la the two triangles ABC, PEE, if the side... | |
 | Charles Hutton - 1825 - 608 σελίδες
...Angles that have equal measures, or arcs to the same radios, are equal. THEOREM I. IP two Triangles have Two Sides and the Included Angle in the one, equal to Two Sides and the Included Angle in the other, the Triangles will be Identical, or equal in all respects. In the two triangles ABC, DEP, if the side... | |
 | John Radford Young - 1827 - 228 σελίδες
...the arcs AB, ED, subtending these angles are equal. Join AB, ED. Then the triangles ACB, DCE, having two sides and the included angle in the one, equal to two sides and the included angle in the other, are equal ; so that if ACB be applied to DCE, there shall be an entire coincidence, the point A coinciding... | |
 | John Playfair - 1835 - 336 σελίδες
...cannot be both pa" rallel to the same 'straight line." PROPOSITION I. THEOREM. tf two triangles have two sides and the included angle in the one, equal to two sides and the included angle in the other, the triangles will be identical, or equal in all respects. Let ABC, DEF be two triangles which have... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...the angle ACB, by hypothesis ; and the side BC common : therefore, the two triangles, BDC, BAC, have two sides and the included angle in the one, equal...and the included angle in the other, each to each : hence they are equal (Prop. V.). But the part cannot be equal to the whole (Ax. 8.) ; hence, there... | |
 | John Playfair - 1837 - 332 σελίδες
...arcs AFD, DGB, subtending these angles, are equal. Join AD, DB ; then the triangles ACD, BCD, having two sides and the included angle in the one, equal to two sides and the included angle in the other, are equal : so that, if ACD be applied to BCD, there shall be an entire coincidence, the point A coinciding... | |
 | Adrien Marie Legendre - 1838 - 372 σελίδες
...the angle ACB, by hypothesis;^/ and the side BC common : therefore, the two triangles, BDC, BAC, have two sides and the included angle in the one, equal to two sides and the included angle in (he other, each to each : hence they are equal (Prop. V.). But the part cannot be equal to the whole... | |
 | John Playfair - 1842 - 332 σελίδες
...arcs AFD, DGB, subtending these angles, are equal. Join AD, DB ; then the triangles ACD, BCD, having two sides and the included angle in the one, equal to two sides and the included angle in the other, are equal : so that, if ACD be applied to BCD, there shall be an entire coincidence, the point A coinciding... | |
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If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, each to each, the two triangles will be equal. 
