| Charles Hutton - Mathematics - 1811
...of the Rectangle. r . PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together **with both the Segments of the Base, made by a Perpendicular from the Vertical Angle; to determine the** Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum of the other two Sides,... | |
| Charles Hutton - Mathematics - 1812
...the Rectangle. PROBLEM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together **with both the Segments of the Base, made by a Perpendicular from the Vertical Angle ; to determine the** Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum of the other two Sides,... | |
| Thomas Leybourn - Mathematics - 1817
...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 plane triangle : to determine the triangle. Answered by Amicus. Produce the given difference AD... | |
| Thomas Leybourn - Mathematics - 1819
...required triangle. XXJ. Given the diameter of the circumscribing circle, ratio of the sides, and ratio of **the segments of the base made by a perpendicular from the vertical angle, to** construct the plane triangle. Let ACN (Fig. i.) represent the required triangle; then CP, the diameter... | |
| Thomas Leybourn - Mathematics - 1819
...inscribe a triangle, such that the difference of its sides shall be in a given ratio to the difference of **the segments of the base made by a perpendicular from the vertical angle** ; and the prism, whose base is the triangle and altitude the said perpendicular a maximum. SOLUTION,... | |
| Charles Hutton - Mathematics - 1822
...the Rerfnn'<;lp. PROBLKM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together **with both the Segments of the Base, made by a Perpendicular from the Vertical Angle ; to determine the** Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum of the other two Sides,... | |
| Thomas Curtis - Aeronautics - 1829
...any spherical triangle, as ABC, (figs. 22 and 23), the following proportions obtain, AD and DB being **the segments of the base made by a perpendicular from the vertical angle.** 1. Sin. AC : sin. В С : : sin. В : sin A. 2. Cos. AD : cos. DB : : cos. А С : cos. В С. 3. Sin.... | |
| John Radford Young - Geometry, Analytic - 1833 - 288 pages
...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 of the... | |
| John Radford Young - Geometry, Analytic - 1835 - 288 pages
...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 of the... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...sides of the rectangle. PROBLEM IX. In a triangle, having given the ratio of the two sides, together **with both the segments of the base made by a perpendicular...from the vertical angle ; to determine the triangle.** PROBLEM X. In a triangle, having given the base, the sum of the other two sides, and the length of... | |
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