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الكتب الكتب 1 - 5 من 5 فيTheir evident analogy to the property of a triangle " that the sines of the angles....
" Their evident analogy to the property of a triangle " that the sines of the angles are proportional to the opposite sides", has suggested another form under which they may be put. "
Transactions of the Cambridge Philosophical Society - الصفحة 116
بواسطة Cambridge Philosophical Society - 1838
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Transactions of the Cambridge Philosophical Society

1838
...— A) ^ y ~~ a ' sin (ft — S)' x _ c sin (a — A) m % ~ a' sin (7 - C) ' v _ c sin (ft - S) 2 ~ b ' sin (7 — C)' These formulae, which are remarkable...lines D'A', DB', DC meet in a point D', the angles ADB, BDC, A'DC being equal to ADB, BDC, ADC respectively. At A any point in DA make the angles DAB...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...base. 7. Calculate by logarithms, /42-666N" /-0765Y V T147 / X\l-9432/ 8. In any plane triangle show that the sines of the angles are proportional to the opposite sides. Show that sin (C-30°)=c2 + 2Jc sin (A-30°). 9. The elevations of two mountains in the same line with...
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Astronomy Without a Telescope: Being a Guide-book to the Visible Heavens ...

1869 - عدد الصفحات: 104
...will average 0° 15' 37.46', the proportion being as 3.6697 to 1 (Sec. 177) : Hence by the theorem that " the sines of the angles are proportional to the opposite sides," we have 195. In the triangle ABC, we have known the side AB by the last proportion, and the angle at...
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Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1905 - عدد الصفحات: 290
...that C3 = aa + 6!1-2a6cos C, and o* = 6a + ca— 2bc cos A. i,. MH 19 14. In any triangle to prove that the sines of the angles are proportional to the opposite sides, ie that sin A sin B _ sin C a ~ b *»= ,£_ "\ AD In Fig 1. we have — j— = sin C. In Fig. 2, we...
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Mechanics and Hydrostatics for Beginners

...relation. Similarly, we could prove that and o2 = 62 + c2 — 2bc cos A. 14. In any triangle to prove that the sines of the angles are proportional to the opposite sides, ie that In Fig. 1, Art. 13, we have - =aiuB. c AD In Fig. 2, we have - = sin A BD = sin (180' - B)...
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