| Charles Hutton - Mathematics - 1811
...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 - Mathematics - 1816
...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 - Mathematics - 1822 - 618 pages
...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 - Mathematics - 1825
...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 - Euclid's Elements - 1827 - 208 pages
...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 - Euclid's Elements - 1835 - 316 pages
...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 - Geometry - 1836 - 359 pages
...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 - Geometry - 1837 - 332 pages
...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 - Geometry - 1838 - 384 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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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