| John Harris - 1706 - 253 páginas
...DEMONSTRATION. I fay the Sum of the Legs of any Angle <*, is to their Difference : : as the Tangent of i the Sum **of their oppofite Angles, is to the Tangent of half their Difference.** Produce O one of the given Legs of the Angle given, till af become equal to H or C «, and then bifeft... | |
| 1769 - 92 páginas
...BC-CA: BD + DA. PROP. Fig. 27. 80. In any unequal Jided triangle ABC, the fum of the fides BC, AC, **is to their difference, as the tangent of half the fum of** the oppofae angles A, B, is to the tangent of half their difference. Let the fame conftru&ion be as... | |
| Paul Hoste - 1769
...confequently, fince (by 4. AE is to DA, as CE toDF, it is certain, tha* the fum of the fides BA, BC, **is to their difference, as the tangent of half the fum of** the angles A and C, is to the tangent of an angle, which added to the faid half, will make the greater... | |
| John Muller - 1773 - 130 páginas
...: BC-CA:BD + DA. PROP. Fig. 27: 80. In any unequal fided triangle ABQ the fum of the fides BC, AC, **is to their difference, as the tangent of half the fum of** the oppofite angles A, B, is to the tangent of half their difference. Let the fame conftruction be... | |
| Robert Simson - 1775 - 520 páginas
...being given, the fourth is alfo given. PROP. III. FIG. 8. TN a plain triangle, the fum of any two fules **is to their difference, as the tangent of half the fum of** the angles at the bafe, to the tangent of half their difference. Let ABC be a plain triangle, the fum... | |
| Euclid - 1776 - 264 páginas
...or BAC f. Wherefore, Sec, f fcho1PROP. Ill, TN any right lined triangle, ths fum of any two fides., **is to their •*• difference, -as the tangent of half the fum of** the angles at the kafe, is to the tangent of half their difference. Let ABC be the triangle, the fum... | |
| Euclid - 1781 - 520 páginas
...given, the fourth is aid » given. PROP. III. FIG. 8. IN a plain triangle, the fum of any two fides **is to their difference, as the tangent of half the fum of** the angles at the bafe, to the tangent of half their difference. Let ABC be n plain triangle, the fum... | |
| William Nicholson - 1784 - 223 páginas
...the fame proportion as their halves, it will follow that, , The fum of any two fides .... . • ! i **Is to their difference, ., , . . . As the tangent of half the fum of** the angles not included between the two afTumed fides, Is to the tangent of half the difference of... | |
| David Stewart Erskine Earl of Buchan, Walter Minto - 1787 - 134 páginas
...Cof af-cof b : cof a — cof b : : cot ^ : tang t±?. (4) Lem. 3. The fum of the fines of two arcs **is to their difference as the tangent of half the fum of** thofe arcs is to the tangent of half their their difference. * Sin a + fin b : fin a — fin b : :... | |
| John McGregor (teacher of mathematics.) - 1792 - 431 páginas
...their difference; and fince EG and BC are parallel, EC : CF as EB :. BG, that is, the fum of the fides **is to their difference : as the tangent of half the fum of** the angles at the bafe, is to the tarn. Cent of half their difference. THEOTHEOREM III. in a plane... | |
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