 | 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 Difference ::af the... | |
 | 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...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... | |
 | 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...Triangle cut 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... | |
 | John Ward (of Chester.) - Mathematics - 1747 - 516 pages
...t he Su m of the oppofite Angles) ; and in the little Д GBF, FG will be the Tangent of the ¿ GBF (ie the Tangent of half the Difference of the oppofite...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... | |
 | John Ward - Mathematics - 1747 - 492 pages
...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... | |
 | John Ward - Mathematics - 1771 - 510 pages
...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... | |
 | 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...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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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... 