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 Llibres Llibres 1 - 10 de 180 sobre in any triangle, the sum of two sides is to their difference as the tangent of half.... in any triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite to those sides is to the tangent of half their difference. ELEMENTS OF TRIGONOMETRY, PLANE AND SPHERICAL - Pàgina 71
per LEFEBURE DE FOURGY - 1871
Visualització completa - Sobre aquest llibre A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - 1717 - 408 pàgines
...Sum — ~ diff. is = lejjer of them. But Wholes are as their Halves : Wherefore the Sum of the Legs is to their Difference as the Tangent of half the Sum of the i. s oppofite is to the Tangent of half their difference. ft. fD • Me»»»- !-*- '"•• AXIOM...
Visualització completa - Sobre aquest llibre The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - 1725 - 479 pàgines
...the Tangent of half their Difference. But Wholes are as their Halves: Therefore the Sum of the Legs is to their Difference, as the Tangent of half the Sum of the oppofite Angles, is to the Tangent of half their Difference. Which was, &c. From this Axiom the following...
Visualització completa - Sobre aquest llibre A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - 1738 - 421 pàgines
...В С : : S С •• S A. QE.Z). Axiom III. The Sum of the Legs of any Angle of a Plane Triangle, Is to their Difference, As the Tangent of half the Sum of the Angles oppofite to thofe Legs, Is to the Tangent of half their Difference. 2)emonfiratiott. D (by 8. iJSuA&m.)...
Visualització completa - Sobre aquest llibre The Mathematician

1751 - 399 pàgines
...writers of Trigonometry, that the Sum of the Sides, including any given Angle Angleof a plain Triangle, is to their Difference, as the Tangent of half the Sum of the unknown Angles, is to the Tangent of half their Difference ; therefore, if the including Sides of two...
Visualització completa - Sobre aquest llibre The popular educator, Volums 5-6

Popular educator - 1767
...the rule of sines, and may be thus written :— sin. A _ ein. B _ gin. С abc .(66) 2. 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. By the lost proposition, Then, componenda...
Visualització completa - Sobre aquest llibre The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward - 1771 - 480 pàgines
...the Tangent of half -their Difference: But Wholes are as their Halves ; wherefore the Sum of the Legs is to their Difference, as the Tangent of half the Sum of the Angles oppofite is to the Tangent of half their Difference. J. ED Axiom IV. The Bafe, or greateft Side of...
Visualització completa - Sobre aquest llibre The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

John Hamilton Moore - 1791 - 296 pàgines
...Tangent of half their Difference : but Wholes are as their Halves ; wherefore the Sum of the Leg« is to their Difference, as the Tangent of half the Sum of the «ppofite Angles, is to the Tangent of half their Difference, E* The . Tp find the Angles D and C,...
Visualització completa - Sobre aquest llibre The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pàgines
...three being given, the fourth is also given. ' PROP. III. FIG. 8. In a plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the angles at the base, to the tangent of half their differcnce. • •• Let ABC be n plane triangle, tl>e...
Visualització completa - Sobre aquest llibre A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 419 pàgines
...• Hence, since AC, OF are parallel, EcistocrasEA. is to AC; that is, the sum of the sides AB, Bc is to their difference, as the tangent of half the sum of their opposite angles B AC, BCA is to the tangent of half their difference. , QE u. THEOREM III. 95....
Visualització completa - Sobre aquest llibre A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 pàgines
...la any plane triangle ABC, the sum of the two. given sides AB and £C, including a given angle ABC, is to their difference, as the tangent of half the sum of the two unknown angles A and C is to the tangent of half their difference. Fig. 11. PLANE TRIGONOMETRY....
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