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" FG 5 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, Is... "
The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Page 471
by John Ward (of Chester.) - 1747 - 480 pages
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

John Harris - Spherical projection - 1706 - 298 pages
...the Angle gad (ie the Tangent of - Difference of oppofite Angles.) Bat the Segments of the D 3 Legs Legs of any Triangle cut by Lines Parallel to the Bafe being Proportional, eb. ea :: cet. dg ; That is jn V: -'6 words, Half the Sam of the Legs is f* half their...
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1717 - 478 pages
...Right-angled, if В F be made Radius, AF will be the Tangent of Z_ А В F (г. е. the Tangent of half the Sum of the oppofite Angles.) But the Segments of the Legs...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,...
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The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - Astronomy - 1725 - 504 pages
...of the oppofite Angles vJ and in the little Triangle £ * d, gd will be the Tangent of the Angle gad (ie the Tangent of half the difference of the oppofite...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...
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1738 - 458 pages
...the Sum of the oppoiite Angles); and in the little Д GBF, FG will be the Tangent of the L GBF (ze the Tangent of half the Difference of the oppofite...by Lines parallel to the Bafe, being ( by Schol. to 2. 6 End. El. ) proportional ; E С » EB : : FA •• FG 5 that is in Words, half the Sum of the...
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The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

John Hamilton Moore - Nautical astronomy - 1791 - 578 pages
...the little Triangle GBF, GF will be the Tangent of the Angle GBF, (that is, the Tangent of hal^the Difference of the oppofite Angles:) but the Segments...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 half...
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