 | Thomas Keith - 1810 - 478 pàgines
...construetion, also AB is common to the two triangles ABC and ADB, therefore the three sides of the one are equal to the three sides of the other, each to each. The angles -which are opposite to the equal sides in each triangle are equal. For, Produce the sides... | |
 | Daniel Cresswell - 1816 - 352 pàgines
...97.), and the side CB to CA. Hence, in the two spherical triangles CAD, CDB, the three sides of the one are equal to the three sides of the other, each to each ; therefore, (Art. 86.) the angle CBD is equal to the angle CAD ; and the angle CBF has been shewn... | |
 | Adrien Marie Legendre - 1819 - 574 pàgines
...shall have GC < BC, or EF< BC. THEOREM. 43. Two triangles are equal, when the three sides of the one are equal to the three sides of the other, each to each. Demonstration. Let the side AB = DE (Jig. 23), AC = DF,^g 23BC=EF ; then the angles will be equal,... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 pàgines
...shall have GC <[ BC, or EF<BC. THEOREM. 43. 7V0o triangles are equal, when the three sides of the one are '< equal to the three sides of the other, each to each. Demonstration. Let the side AB = DE (fig. 23,) JtC = DF, ^6- 23BC — EF ; then the angles will be... | |
 | Adrien Marie Legendre - 1825 - 276 pàgines
...shall have GC < BC, or EF<BC. THEOREM. 43. 7\»o triangles are equal, when the three sides of the one are equal to the three sides of the other, each to each. Demonstration. Let the side AB = DE (fig. 23,) AC - DF, F'g.23BC = EF ; then the angles will be equal,... | |
 | Thomas Keith - 1826 - 504 pàgines
...construction, also AB is common to the two triangles ABC and ABD, therefore the three sides of the one are equal to the three sides of the other, each to each. The angles which are opposite to the equal sides in each triangle are equal. For, If о be the centre... | |
 | Francis Joseph Grund - 1830 - 274 pàgines
...also equal.* 4. The two angles at the basis of an isosceles triangle are equal to one another. 5. If the three sides of one triangle are equal to the three sides of another, each to each, the two triangles coincide with each other throughout ; that is, their angles... | |
 | Pierce Morton - 1830 - 584 pàgines
...another: it shall be a parallelogram. For, in the triangles ABD, С DB, the three sides of the one are equal to the three sides of the other, each to each • therefore, the angle ABD is equal to С DB (7.), and (15.) AB is parallel to С D. And, for the... | |
 | Francis Joseph Grund - 1834 - 204 pàgines
...also equal.* 4. The two angles at the basis of an isosceles triangle are equal to one another. 5. If the three sides of one triangle are equal to the three sides of another, each to each, the two triangles coincide with each other throughout ; that is, their angles... | |
 | 1835 - 684 pàgines
...one another: it shall be a parallelogram. For, in the triangles ABD, CDB, the three sides of the one are equal to the three sides of the other, each to each ; therefore, the angle ABD is equal to С DB (7.), and (15.) AB is parallel to С D. And, for the like... | |
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Two triangles are equal, when the three sides of the one are equal to the three sides of the other, each to each. 
