 | Euclides - 1838 - 264 sider
...RULE. As the base or longest side : the sum of the other two sides, : : difference of those sides . the difference of the segments of the base, made by a perpendicular from the vertical angle. Having thus the sum and difference of these segments, the greater and less segments... | |
 | Thomas Holliday - 1838 - 404 sider
...Rule.—As the base or greatest 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 greater angle upon the base. Then half this difference being added to half the base,... | |
 | Euclides - 1841 - 378 sider
...construct the triangle. 61. 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: to construct the triangle. 62. Given the three distances of a point within a square from three angular... | |
 | Euclides - 1845 - 546 sider
...given straight line. 61. 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. 62. On a given straight line to describe a triangle having its vertical angle... | |
 | Scottish school-book assoc - 1845 - 444 sider
...from (arts. 36 and 59), and (Alg. 69). 7. Prove that the difference of the sides of a triangle, is to the difference of the segments of the base made by a perpendicular upon it from the vertex, as the cosine of half the sum of the angles at the base, is to the cosine... | |
 | Euclid, James Thomson - 1845 - 382 sider
...is, sin j (A — B) :sinJ(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.... | |
 | Euclides - 1846 - 292 sider
...AB.AF + AD.AH=AC.AG. 100. Given the vertical angle, the difference of the sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex : construct the triangle. BOOK IV, DEFINITIONS. i. A RECTILINEAL figure is said to be inscribed in... | |
 | Dennis M'Curdy - 1846 - 166 sider
...QED . 5 Th. The base of a triangle is to the sum of both the sides, as the difference of the sides is to the difference of the segments of the base, made by a perpendicular falling upon it from the vertex, or to the sum of the segments, when the base must be produced to meet... | |
 | John Radford Young - 1848 - 300 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... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...the greatest angle ? 37. 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 ; to construct the triangle. THEOREMS. 1. If two circles cut each other, the straight line joining... | |
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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. 
