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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 is... "
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... - Side 290
av Philip Ronayne - 1717 - 408 sider
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

John Harris - 1706 - 298 sider
...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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The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - 1725 - 504 sider
...little Triangle £ * d, gd will be the Tangent of the Angle gad (ie the Tangent of half the difference of the oppofite Angles) but the Segments of the Legs...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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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward (of Chester.) - 1747 - 516 sider
...and in the little Д GBF, FG will be the Tangent of the ¿ GBF (ie the Tangent of half the Difference of the oppofite Angles): But the Segments of the Legs...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 of the...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward - 1747 - 492 sider
...little A GBF, FG will be the Tangent of the ^ GBF(i e. the Tangent of half the Differenceof theoppofite Angles); But the Segments of the Legs of any Triangle cut by Lines parallel to the Bafe, being (by Scbol. to 2. 6 End. El. ) proportional ; EC:EB : : FA : FG ; that is in Words, half the Sum of the...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward - 1771 - 510 sider
...GBF, FG will be the Tangent of the Z. GBF (ie the Tangentof half the Differenceof the oppofiteAngles): But the Segments of the Legs of any Triangle cut by Lines parallel to the Bafe, being (bySchol. toa. 6 Eue!. El.) proportional; EC:EB : : FA : FG ; 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 - 1791 - 578 sider
...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 of the Legs...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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