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 Llibres Llibres 111 - 120 de 190 sobre C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides.... C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ... - Pàgina 66
per Jeremiah Day - 1815 - 126 pàgines
Visualització completa - Sobre aquest llibre ## A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1869 - 428 pàgines
...to each other at the opposite sides. THEOREM EL — In every plane triangle, the turn of two tides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference. THEOREM III. — In every plane triangle,...
Visualització completa - Sobre aquest llibre ## Documents of the City of Boston, Volum 3

...and cosecant. 2. Demonstrate that, in any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. 8. Given two sides and an opposite angle,...
Visualització completa - Sobre aquest llibre ## Annual Report and Documents of the New York ..., Volum 50,Parts 1868-1873

...we have the principle. When two sides and their included angles are given : The sum of the two sides is to their difference as the tangent of half the sum of the other two angles is to the tangent of half their difference. This young man also worked out a problem...
Visualització completa - Sobre aquest llibre ## Elements of Geometry and Trigonometry: With Applications in Mensuration

1870 - 319 pàgines
...0 : sin B. Theorems. THEOREM II. In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. Let ACB be a triangle: then will AB + AC:...
Visualització completa - Sobre aquest llibre ## Annual Report and Documents of the New York Institution for the Instruction ...

...we have the principle. When two sides and their included angles are given : The sum of the two sides is to their difference as the tangent of half the sum of the other two angles is to the tangent of half their difference. This young man also worked out a problem...
Visualització completa - Sobre aquest llibre ## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 pàgines
...^(A+B) . sin. A-sin. B~sin. ^(AB) cos- ^(A+B)~tang. ^(AB) ' that is, The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference. COS f*fvt Dividing formula (3) by (4), and considering...
Visualització completa - Sobre aquest llibre ## A Treatise on Special, Or Elementary Geometry

Edward Olney - 1872 - 239 pàgines
...horizontal parallax. PLANE TRIGONOMETRY. 80. Ргор.— The sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. ( DEM. — Letting a and b represent any two sides...
Visualització completa - Sobre aquest llibre ## Elements of Trigonometry, Plane and Spherical

Edward Olney - 1872 - 201 pàgines
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— Tlie sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. DEM. — Letting a and b represent any two sides...
Visualització completa - Sobre aquest llibre ## A Treatise on Special Or Elementary Geometry, Volums 1-2

Edward Olney - 1872
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— TJie sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. 1 >K\r. — Letting a and b represent any two...
Visualització completa - Sobre aquest llibre ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 pàgines
...have the following principle : In any plane triangle, the sum of the sides including either angle, is to their difference, as the tangent of half the sum of the two other angles, is to the tangent of half their difference. The half sum of the angles may be found...
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