| Benjamin Greenleaf - 1869 - 516 sider
...Cor. 3) ; therefore its extremity, F, must fall below the line E G. The two triangles, ABC and DEG, have the two sides AB, AC equal to the two sides DE, DG, each to each, and the included angle BAC of the one equal to the included angle EDG of the other... | |
| Elias Loomis - 1871 - 302 sider
...the other. Let ABC, DEF be two triangles having two sides of the one equal to two sides of the other, viz. : AB equal to DE, and AC to DF, but the base BC greater than the base EF ; then will the angle BAC be greater than the angle EDF. For if it is not... | |
| Henry Major - 1873 - 580 sider
...the other ; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two sides, AB, AC, equal to the two DE, DF, each to each, viz., AB equal to DE, and AC to DF; but the angle BAG greater than the angle... | |
| Benjamin Greenleaf - 1873 - 202 sider
...Case 3) ; therefore its extremity, F, must fall below the line E G. The two triangles, ABC and DEG, have the two sides AB, AC equal to the two sides DE, DG, each to each, and the included angle BAC of the one equal to the included angle EDG of the other... | |
| Edward Atkins - 1874 - 426 sider
...of one triangle be respectively equal to those of another, the triangles are equal in every respect. Let ABC, DEF be two triangles which have The two sides...two sides DE, DF, each to each, viz., AB equal to A ? DE, and AC equal to DF. And the angle BAC equal to the angle EDF :— then—- The base BC shall... | |
| Euclides - 1874 - 120 sider
...other the base of that whifh has the greater angle shall be greater than the base of the other. .. Let ABC, DEF be two triangles, which have ' • the...AB, AC, equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the angle BAC greater than the angle EOF; the base BC shall be... | |
| Edward Atkins - 1874 - 428 sider
...the base of the other, 5 S GE03IETRY. Suppose I,F>DE Make / EDG = ^ BAC. .'.BC=EG. and - EFG> - EGP. Let ABC, DEF, be two triangles which have The two sides AB, AC equal to the two DE, DF, each to each— namely, AB to DE,and AC to DF, But the angle BAC greater than the angle EDF;... | |
| Euclides - 1874 - 342 sider
...other; the base of that which has the greater angle shall be greater than the base of the other. • Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, namely, AB equal to DE, and AC to DF; but the angle BAC greater than the angle... | |
| Benjamin Greenleaf - 1874 - 206 sider
...Case 3) ; therefore its extremity, F, must fall below the line E G. The two triangles, ABC and DEG, have the two sides AB, AC equal to the two sides DE, I) G, each to each, and the included angle BAC of the one equal to the included angle EDG of the other;... | |
| Edward Atkins - 1876 - 130 sider
...equal in every respect, those angles being equal which are opposite to the equal sides. Let ABC, DEP be two triangles which have The two sides AB, AC equal to the two sides DE, DF, Given ^ each to each, viz., AB to DE, and AC to DF, AC = DF.' And the base BC equal to the base EF.... | |
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