 | W. Hilton - Science - 1797 - 308 pages
...Sc'hven. . : : . QUESTION 16. By Mr. Join Brookes. GIVEN the difference of the sides, the difference of the segments of the base made by a perpendicular from the vertical angle, and the radius of the inscribed circle to construct, the triangle. Answered by Mr. R. Nicholson. ANALYSIS.... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...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 - 620 pages
...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 - 456 pages
...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 - 430 pages
...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 - 430 pages
...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 - 616 pages
...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 - 878 pages
...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 - Conic sections - 1833 - 310 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 - 298 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... | |
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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. 
