| Robert Simson - Trigonometry - 1762 - 466 pages
...equal to the triangle b ACB, the o / \ r* b. 4- 1• kfs to the greater; which is abfurd. Therefore AB **is not unequal to AC, that is, it is equal to it....&c. Q^ED COR. Hence every equiangular triangle is** alfo equilateral. PROP. VII. THEOR. UPON the fame bafe, and on the fame fide of it,seeN. there cannot... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...further from the ftraight line AB, and then comes nearer to it, which is alfo impoflible. Therefore FE **is not unequal to AC, that is, it is equal to it.** PRO P. i. If two equal ftraight lines rtC, BD be each at right angles to the fame ftraight line AB;... | |
| Euclid - 1781 - 550 pages
...further from the ftraight line AB, and then comes nearer to it; which is alfo impoffible. Therefore FE **is not unequal to AC, that is, it is equal to it.** PROP. 2. If two equal ftraight lines AC, BD be each at right angles to the fame ftraight line AB ;... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...impofllble. and the fame thing will follow, if FE be faid to be greater than CA, or DI3. therefore FE **is not unequal to AC, that is, it is equal to it.** PROP. 2. If two equ.il ftraight lines AC, BD be each at right angles to lj-c fame ftraight line AB... | |
| John Playfair - Trigonometry - 1795 - 444 pages
...DBC is equal to the U 4, i, triangle b ACB, the lefe to the greater ; which is abfurd. Therefore AB **is not unequal to AC, that is, it is equal to it....&c. Q'.ED CoR. Hence every equiangular triangle is** alfo equilateral. PROP. PROP. VII. THEOR. Book i. UPON the fame bafe, and on the fame fide of it, there... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...to BooK I. to the triangle b ACB, the lefs to the greater ; which is abfurd. *— ^VsJ Therefore AB **is not unequal to AC, that is, it is equal to it.** b. 4. i. Wherefore, if two angles, &c. Q^ED CoR. Hence every equiangular triangle is alfo equilateral.... | |
| John Playfair - Euclid's Elements - 1804 - 470 pages
...equal to the b 4. i. triangle b ACB, the lefs -to the greater ; which is abfurd. Therefore, AB is net **unequal to AC, that is, it is equal to it. Wherefore, if two angles, &c.** (XE.D. CoR. Hence every equiangular triangle is alfo equilateral. PROP. PROP. VII. THEO R. Book I.... | |
| Robert Simson - Trigonometry - 1804
...impoflible. and the fame thing will follow, if FE be <"aid to be greater than CA, or DB. therefore FE **is not unequal to AC, that is, it is equal to it.** PROP. 2. If two equal ftraight lines AC, BD be each at right angles to the fame ftraight line AB ;... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...less to the greater, whichfis absurd. Therefore AB is not unequal to AC, that is, it is equal to 5t.jf **Wherefore, if two angles, &c. QED COR. Hence every...THEOR. UPON the same base, and on the same side of it,** s«e N. there cannot be two triangles, that have their sides which are terminated in one extremity... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...equal to the triangle b ACB, the less to the great- / \\ b4. 1. er ; which is absurd. Therefore AB **is / ^\ not unequal to AC, that is, it is equal to *• * it. Wherefore, if two angles, &c. QED** B CoR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. UPON the same base,... | |
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