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" 180 4 n 103. The area of a regular polygon inscribed in a circle is to that of the circumscribed polygon of the same number of sides as 3 to 4. Find the number of sides. 104. The area of a regular polygon inscribed in a circle is a "
Plane and Spherical Trigonometry, Surveying and Tables - Page 93
by George Albert Wentworth - 1895 - 214 pages
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A Collection of Cambridge Mathematical Examination Papers: Papers in pure ...

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...
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A collection of examples in pure and mixed mathematics, with hints and ...

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...
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A collection of problems and examples adapted to the 'Elementary course of ...

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...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

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...
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A collection of examples in pure and mixed mathematics, with hints and ...

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...
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A collection of examples in pure and mixed mathematics, with hints and ...

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...
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A collection of examples in pure and mixed mathematics, with hints and ...

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...
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Plane Trigonometry ...

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...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

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...
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A collection of examples in pure and mixed mathematics, with hints and ...

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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