| John Martin Frederick Wright - Astronomy - 1833 - 332 pages
...by the whole £.100: at what price ought he to have sold it per cwt., to have cleared £.200 ? 13. **The area of a regular polygon inscribed in a circle, is to** the area of a similar one circumscribed about the circle as 2 to 3 : find the number of sides on the... | |
| Alfred Wrigley - 1845 - 222 pages
...hypothenuse. 174. In the figure of Euclid, Book iv., prop. 10; compare the areas of the two circles. 175. **The area of a regular polygon inscribed in a circle is a** mean proportional between the areas of an inscribed and a circumscribed regular polygon of half the... | |
| Harvey Goodwin (bp. of Carlisle.) - Mathematics - 1847 - 136 pages
...inscribed square is an harmonical mean between the sides containing the right angle. 19. Prove that **the area of a regular polygon inscribed in a circle is a** geometrical mean between the areas of an inscribed and of a circumscribed polygon of half the number... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...inscribed square is an harmonical mean between the sides containing the right angle. 19. Prove that **the area of a regular polygon inscribed in a circle is a** geometrical mean between the areas of an inscribed and of a circumscribed polygon of half the number... | |
| Alfred Wrigley - 1852 - 344 pages
...each side is 20, the sum of the radii of the circumscribed and inscribed circles is a cot -— n 190. **The area of a regular polygon inscribed in a circle is a** mean proportional between the areas of an inscribed and a circumscribed regular polygon of half the... | |
| Alfred Wrigley - 1857 - 332 pages
...each side is la; the sum of the radii of the circumscribed and inscribed circles is a cot -— n 33. **The area of a regular polygon inscribed in a circle is a** mean proportional between the areas of an inscribed and a circumscribed regular polygon of half the... | |
| Alfred Wrigley - 1859 - 328 pages
...is 2a ; the sum of the radii of the circumscribed and inscribed circles is a cot - — • . n 33. **The area of a regular polygon inscribed in a circle is a** mean proportional between the areas of an inscribed and a circumscribed regular polygon of half the... | |
| Isaac Todhunter - 1860 - 318 pages
...supplementary are 3, 3, 4, 4; find the area and the radii of the inscribed and circumscribed circles. 13. **The area of a regular polygon inscribed in a circle...number of sides as 3 to 4; find the number of sides.** 14. If the diameters of three circles which touch each other be a, b, c, and o, /?, y be the chords... | |
| Isaac Todhunter - Plane trigonometry - 1860 - 312 pages
...supplementary are 3, 3, 4, 4; find the area and the radii of the inscribed and circumscribed circles. 13. **The area of a regular polygon inscribed in a circle...number of sides as 3 to 4; find the number of sides.** 14. If the diameters of three circles which touch each other be a, b, c, and a, ft, y be the chords... | |
| Alfred Wrigley - 1862 - 336 pages
...each side is la; the sum of the radii of the circumscribed and inscribed circles is a cot -— n 33. **The area of a regular polygon inscribed in a circle is a** mean proportional between the areas of an inscribed and a circumscribed regular polygon of half the... | |
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