| Thomas Holliday - Electronic book - 1838 - 80 pages
...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
...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... | |
| Robert Potts - 1845
...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... | |
| 1845
...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... | |
| James Thomson - Geometry - 1845 - 358 pages
...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
...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 - Geometry - 1846 - 138 pages
...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 - Geometry, Analytic - 1848 - 288 pages
...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... | |
| Euclides - 1849
...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... | |
| J.R. YOUNG - 1850
...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 Z?2 = the difference... | |
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