| William Hawney - 1725 - 479 pagina’s
...The Demon ftr At ion of this fecond Axiom is briefly thus. I fay, the fum of the Legs of any Angle a, **is to their Difference, as the Tangent of half the fum of** their oppofite Angles, is to the Tangent of half their Difference. Let Let A* B and C represent the... | |
| Archibald Patoun - 1734 - 414 pagina’s
...In any plain Triangle, as ABC, thefum of the fides, AB and BC, is to the difference of thefe fides, **as the Tangent of half the fum of the Angles at the bafe,** viz. A and C, is to the Tangent of half the difference of thefe Angles. Demon. Produce AB and make... | |
| Francis Holliday - 1749 - 316 pagina’s
...method offohing this qucjiion is thus : AS the fum of the ratios ( ij) is to their difference (3), fo is **the tangent of half the fum of the angles at the bafe** to the tangent of half their difference ; whence all the angles are known, and consequently the triangle.... | |
| Antoine-René Mauduit - 1768 - 216 pagina’s
...the tangent of half the difference cf the fegments of the bafe-, and the fécond this ; The coßne **of half the fum of the angles at the bafe is to the** coftne cf half their difference, as the tangent of half the difference of their oppofttefides is io... | |
| William Flower - 1768 - 228 pagina’s
...point from the middle of the bafe. TbeoretQ VII. In any fpberic triangle it will be, as the cotangent **of half the fum of the angles, at ' the bafe is to the** tangent of half their difference* fo is the tangent of half the vertical angle to the tangent of the... | |
| 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 angle C.... | |
| John Muller - 1769 - 92 pagina’s
...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 the... | |
| John Muller - 1773 - 130 pagina’s
...: 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 as the... | |
| Robert Simson - 1775 - 520 pagina’s
...; and fince BC, FG are parallel (2.6.) EC is to CF, asEB to BG; that is, the fum of the H h 3 fides **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. PROP. IV. FIG. 18. TN any plain triangle BAC, whole two fides... | |
| Euclid - 1776 - 264 pagina’s
...angle BIC, 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 of any two of its... | |
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