 | William Nicholson - 1821 - 356 sider
...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 of the 12.02862 9.86786 2.16076... | |
 | Thomas Simpson - 1821 - 426 sider
...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, and BD the perpendicular;... | |
 | William Nicholson - 1821 - 356 sider
...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 of the segments be added... | |
 | Edward Riddle - 1824 - 572 sider
...the base, or longest side, is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base, made by a perpendicular from the opposite angle, (Trig. Prop. 7.) Then the half difference added to half the base, gives the segment... | |
 | Miles Bland - 1827 - 462 sider
...; to construct the triangle. 23. Given the difference of the angles at the base, the ratio of rthe sides, and the length of a third proportional to the...and the shorter side ; to construct the triangle. 24. Given the base of a right-angled triangle ; to construct it, when parts, equal to given lines,... | |
 | William Galbraith - 1827 - 412 sider
...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 convenient to call the longest... | |
 | John Radford Young - 1833 - 310 sider
...Given one side, the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides 62 = the difference... | |
 | William Galbraith - 1834 - 454 sider
...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 convenient to call the longest... | |
 | John Radford Young - 1835 - 298 sider
...Given one side, the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides A2 = the difference... | |
 | Euclid, James Thomson - 1837 - 410 sider
...AB; that is, sinJ(A — B):sinl(A + B) ::a — b:c. PROP. V. THEOR. IN any plane triangle, the sum of the segments of the base made by a perpendicular from the vertex, is to the sum of the other sides, as the difference of those sides to the difference of the segments.... | |
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Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle. 
