Having given the hypotenuse of a right-angled triangle, and the radius of the inscribed circle, to construct the triangle. 33. ABC is a triangle inscribed in a circle, the line joining the middle points of the arcs AB, AC, will cut off equal portions... New series of The mathematical repository - الصفحة 40بواسطة Thomas Leybourn - 1830عرض كامل - حول هذا الكتاب
| Miles Bland - 1830 - عدد الصفحات: 374
...triangle, to the angles of the triangle; determine the radius of the circle. 59. Having given the ratio of **the sines of the angles of a plane triangle, and the radius of the inscribed circle** ; determine the sides and angles. 60. In an oblique-angled triangle ACB, having given the difference... | |
| 1836
..., sin 6 = 2 and thence prove that sin AA — . = cot — . I -cos A" ""' 2 10. Given the ratios of **the sines of the angles of a plane triangle, and the...of the inscribed circle, to construct the triangle.** 11. Find the values of 6 which satisfy the equation 1823 2 sin2 30 + sin2 66 — 2, radius being =... | |
| Robert Potts - 1845
...through the angle of a given equilateral triangle. 56'. Having given the hypothenuse of a right-angled **triangle, and the radius of the inscribed circle, to construct the triangle.** 57. Having given the vertical angle of a triangle, and the radii of the inscribed and circumscribed... | |
| Dionysius Lardner - 1851
...inversion. When the mercury in this barometer stands at 28 inches, what is the true altitude 1 37. **The orifices in the equal bases of two upright prismatic vessels are** m the ratio of 2 to 1, and the vessels are emptied in equal times ; what is toe ratio of their altitudes... | |
| Alfred Wrigley - 1852
...volume which would have been discharged in the same time had the vessel been kept constantly full. 204. **The orifices in the equal bases of two upright prismatic vessels are in the ratio of 2** : 1, and the vessels are emptied in equal times ; compare their altitudes. 205. Divide a cylinder 14... | |
| Dionysius Lardner, D.C.L. - 1854
...inversion. When the mercury in this barometer stands at 28 inches, what is the true altitude ? 37. **The orifices in the equal bases of two upright prismatic vessels are in the ratio of 2** to 1, and the vessels are emptied in equal times ; what is the ratio of their altitudes ? 40 469 OF... | |
| Alfred Wrigley - 1857
...volume which would have been discharged in the same time had the vessel been kept constantly full. 15. **The orifices in the equal bases of two upright prismatic...emptied in equal times ; compare their altitudes.** 16. Divide a cylinder 14 feet long, filled with fluid, into two such parts, that the times of emptying... | |
| Robert Potts - 1860 - عدد الصفحات: 361
...also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a **triangle, and the radius of the inscribed circle, to construct the triangle.** 37. If the base and vertical angle of a plane triangle be given, prove that the locus of the centers... | |
| Alfred Wrigley - 1862 - عدد الصفحات: 294
...volume which would have been discharged in the same time had the vessel been kept constantly full. 15. **The orifices in the equal bases of two upright prismatic...emptied in equal times ; compare their altitudes.** 16. Divide a cylinder 14 feet long, filled with fluid, into two such parts, that the times of emptying... | |
| Robert Potts - 1864
...is equal to the diameter of the inscribed circle. 32. Having given the hypotenuse of a right-angled **triangle, and the radius of the inscribed circle, to construct the triangle.** 33. ABC is a triangle inscribed in a circle, the line joining the middle points of the arcs AB, AC,... | |
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