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" Legs is to half their Difference, as the Tangent of half the Sum of the oppofite Angles is to the Tangent of half "their Difference: But... "
The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Side 479
av John Ward - 1771 - 480 sider
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - 1717 - 478 sider
...Triangle cut by Lines Parallel to the Bafe being ("by 2. 6. Eucl. El.) proportional ; E С --ЕВ >; FA - FG; that is in Words, half the Sum of the Legs,...difference, as the Tangent of half the Sum of the oppofice Angles, is to the Tangent of half their difference; Fer i Sum -(- •', difference of any...
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The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - 1725 - 504 sider
...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...Angles, is to the Tangent of half their Difference. Which was, &c. From this Axiom the following Cafes will eafily be folved. CASE HI. Two Sides, with...
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The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

John Hamilton Moore - 1791 - 578 sider
...Lines parallel to the Bafe being (by Eucl. 2. 6.) proportional as E С : С В :: FA : FG, »hat is, half the Sum of the Legs is to half their Difference, as the Tangent of halt the Sum of the oppofite Angles is to the Tangent of half their Difference : but Wholes are as...
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Asiatic Researches, Volum 10

Asiatick Society (Calcutta, India) - 1811 - 600 sider
...the observed angles PSY and PYS, we have, the tangent of half the sum of the first, to the tangent of half their difference, as the tangent of half the sum of the second, to tangent of 2° 54' 25"-9^i their half difference : from which we get the greater angle at...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - 1811 - 162 sider
...opposite side, or base, the cotangent of half the sum of the angles at the base will be to the tangent of half their difference, as the tangent of half the sum of the segments of the vertical angle is to the tangent of half their difference; that is, cot. | (A + B)...
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An Elementary Treatise of Spherical Geometry and Trigonometry

Anthony Dumond Stanley - 1848 - 134 sider
...that is, The tangent of half the sum of any two sides of a spherical triangle is to the tangent of half their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. 38. In the following articles it is proposed...
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