 ... the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base.  Navigation New Modelled - Side xivav Henry Wilson - 1761 - 528 siderUten tilgangsbegrensning - Om denne boken
 | John Hamilton Moore - 1791 - 578 sider
...IVT In any Plane Triangle, as the Bafe or greateft Side is to the Sum pf the other two Sides, fo is the Difference of the Sides to the Difference of the Segments of the Bafe, made by a Perpendicular let fall from the Angle oppofite to the Bafe. ' And if hair the Difference... | |
 | John Ryley, John Gawthorp, John Whitley - 1815 - 308 sider
...difference of the sides is to the differenc6 of the segments of the base; therefore, as the ratio of the difference of the sides to the difference of the segments of the base, is given, that of the base to the sum, of the sides is given also; but the base is given, consequently,... | |
 | John Playfair - 1819 - 354 sider
...the sides, and therefore (16. 6.) the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base. Q, ED PROP. VI. In any triangle, twice the rectangle contained by any two sides is to the difference... | |
 | William Nicholson - 1821 - 356 sider
...If. In any plane triangle, as the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the angle opposite to the base : and if half the difference... | |
 | William Nicholson - 1821 - 356 sider
...IV. In any plane triangle, as the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the angle opposite to the base : and if half the difference... | |
 | Thomas Simpson - 1821 - 426 sider
...ACB. . ED PROPOSITION XI. Jin the base of any plane triangle is to the sum of the two sides, so is the difference of the sides to the difference of the segments of the base, made by a perpendicular falling from the vertical angle. - For, Let ABC be the proposed triangle,... | |
 | Peter Nicholson - 1823 - 210 sider
...triangle, to the opposite side, which is the base ; then, as the base is to the sum of the two sides, so is the difference of the sides to the difference of the segments of the base. For, (theorem 62, page 56) AC*-CD*=AD* and, again, (theorem 62) BC*- CD*=BD*. Subtract the second... | |
 | Pierce Morton - 1830 - 584 sider
...the base, or of the base produced, may be stated thus : — the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base, or sum of the segments of the base produced. For it is shown (1. 38.) that the difference of... | |
 | William Galbraith - 1834 - 454 sider
...any plane triangle, when the three sides are given, I. As the base Is to the sum of the sides ; So is the difference of the sides To the difference of the segments of the base made by a perpendicular upon it, or upon it produced from the opposite angle. It may perhaps be... | |
 | John Playfair - 1837 - 332 sider
...the sides, and therefore (16. 6.) the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. In, any triangle, twice the rectangle contained by any two sides is to the difference... | |
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