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" FA : FG ; that is in Words, half the Sum of the 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 Wholes are as their Halves ; wherefore the Sum of the Legs... "
Elements of Plain and Spherical Trigonometry: Together with the Principles ... - Page 38
by John Harris - 1706 - 253 pages
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1717 - 478 pages
...of Z_ А В F (г. е. the Tangent of half the Sum of the oppofite Angles.) But the Segments of the Legs of any 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...
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The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - Astronomy - 1725 - 504 pages
...the Angle gad (ie the Tangent of half the difference of the oppofite Angles) but the Segments of the Legs of any Triangle cut by Lines parallel to the Bafe being proportional, eb ; ea : : cd : ' : That is in words, half the fum of the Legs, is to D 2 half half their Difference, as the...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward (of Chester.) - Mathematics - 1747 - 516 pages
...the ¿ GBF (ie the Tangent of half the Difference of the oppofite Angles): But the Segments of the Legs of any Triangle cut by Lines parallel to the Bafe, being (by Schol. to г. 6 Eucl. £7. ) proportional ; EC:EB : : FA : FG ; that is in Words, half the Sum...
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The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

John Hamilton Moore - Nautical astronomy - 1791 - 578 pages
...Angle GBF, (that is, the Tangent of hal^the Difference of the oppofite Angles:) but the Segments of the Legs of any Triangle cut by 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...
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