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 Llibres Llibres 1 - 10 de 120 sobre Law of Sines — In any triangle, the sides are proportional to the sines of the.... Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B... Plane Trigonometry - Pàgina 17
1906 - 188 pàgines
Visualització completa - Sobre aquest llibre ## A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 480 pàgines
...4-8°,4.8' 9-87G4-6 So is AC 126 2- 10031To BC 9*'S 1-97683 SECTION 1 1. Of oUiquc angular Trigonometry. In any triangle, the sides are proportional to. the sines of the opposite angles. When two angles of any triangle are given, their sum, being subtracted from 1 80°, leaves the third...
Visualització completa - Sobre aquest llibre ## A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 330 pàgines
...а + cos — sin ß 2 ß _ tan a -ß SECTION III. ON THE SOLUTION OF PLANE TRIANGLES. 108. PROP. In any triangle the sides are proportional to the sines of the opposite angles. For let ABC be the triangle. Let the angles be denoted by A, B, C,. and the sides opposite to them...
Visualització completa - Sobre aquest llibre ## Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - 1841 - 587 pàgines
...hypothenuse, as the cosine of the angle at the base, is to radius, or the sine of 90°. In an oblique angled triangle, the sides are proportional to the sines of the opposite angles : also, the sum of any two sides is to their difference, as the tangent of the half sum of the two...
Visualització completa - Sobre aquest llibre ## Elements of Plane and Spherical Trigonometry: With the First Principles of ...

James Bates Thomson - 1844 - 126 pàgines
...ACD, BCD, CD=r AC sin A=BC sinB; whence (Euc. VI. 16) AC : BC : : sin B sin A ; that is, in any plane triangle, the sides are proportional to the sines of the opposite angles. Hence, also, ^nr; = - — — . ,,, . , TT i 22. One of the most important problems in trigonometry,...
Visualització completa - Sobre aquest llibre ## The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 451 pàgines
...from the introduction of the demonstrations among the precepto for calculatiou. LVIII. In any plane triangle, the sides are proportional to the sines of the opposite angles. Let ABC be the triangle ; produce the shorter side, AB, to v F, making AF equal to BC ; from В and...
Visualització completa - Sobre aquest llibre ## Pantology

Roswell Park - 1847 - 580 pàgines
...hypothenuse, as the cosine of the angle at the base, is to radius, or the sine of 90°. In an oblique angled triangle, the sides are proportional to the sines of the opposite angles : also, the sum of any two sides is to their difference, as the tangent of the half sum of ihe two...
Visualització completa - Sobre aquest llibre ## Elementary mechanics

Sir John Budd Phear - 1850 - 252 pàgines
...triangle. The parallelogram and the triangle of forces are therefore identical propositions. 19. Since in any triangle the sides are proportional to the sines of the opposite angles, our proposition shews us, that of three forces keeping any point in equilibrium, each is proportional...
Visualització completa - Sobre aquest llibre ## Plane trigonometry. [With] Solutions of examples

...ON THE TRIGONOMETRICAL PROPERTIES OF TRIANGLES, QUADRILATERALS, AND POLYGONS. 105. To shew that in any triangle the sides are proportional to the sines of the opposite angles. In future we shall use the letters a, J, c, to denote the sides BC, AC, AB, opposite to the angles...
Visualització completa - Sobre aquest llibre ## An elementary treatise on statics: with a biographical notice of the author

Gaspard Monge - 1851 - 216 pàgines
...we may however enunciate this theory independently of all construction. Thus, in every triangle ABC, the sides are proportional to the sines of the opposite angles : that is to say, we have • AC : EC : AB : : sin ABC : sin BAC : sin ACB. Now, the sines of these angles are...
Visualització completa - Sobre aquest llibre ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pàgines
...A v ' Sin 3 A — sin A (3) (Cos A + cos B)2 + (sin A + sin B)2 = 4 cos2i( A - B) 4. Prove that in any triangle the sides are proportional to the sines of the opposite angles. 6. The angular elevation of the top of a tower is observed to be 60° 14'; the observer then retires...
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