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" The surface of a regular inscribed polygon, and that of a similar polygon circumscribed, being given ; to find the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed... "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 227
by James Bates Thomson - 1844 - 237 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ;...tangents AP, BQ be drawn, AM will be a side of the in scribed polygon, having twice the number of sides ; and (6. IV.) PQ, double of PM, will be a side...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 pages
...surfaces of the regular inscribed and circumscribed polygons hoeing double the number of sides. , < Let AB be a side of the given inscribed polygon ;...inscribed polygon, having twice the number of sides; and (277.) PQ, double of PM, will be a side of the similar circumscribed polygon. Now, as the same construction...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...the surfaeet of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ;...of the circle. If the chord AM and the tangents AP, BQbe drawn, AM will be a side of the inscribed polygon, having twice the number of sides ; and (27?.)...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...surfaces of the regular inscribed and circumscribed polygons having double the number of sides. • • Let AB be a side of the given inscribed polygon ;...the chord AM and the tangents AP, BQ, be drawn, AM wilf be a side of the inscribed Eolygon, having twice the numer of sides; andAP + PM=2PM or PQ, will...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. E Let AB be a side of the given inscribed polygon; EF,...inscribed polygon, having twice the number of sides ; and AP + PM = 2PM or PQ, will be a side of the similar circumscribed polygon (Prop. VI. Cor. 3.). Now,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 359 pages
...the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ;...inscribed polygon, having twice the number of sides; andAP + PM=2PM or PQ, will be a side of the similar circumscribed polygon (Prop. VI. Cor. 3.). Now,...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ;...inscribed polygon, having twice the number of sides ; and AP-fPM=2PM or PQ, will be a side of the similar circumscribed polygon (Prop. IX. Cor. 3.) Now, as the...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...polygons hairing double the number of sides. Let AB be a side of the given inscribed polygon; El',parallel to AB, a side of the circumscribed polygon ; C the...inscribed polygon, having twice the number of sides; and AP + PM =2PM or PQ, will be a side of the similar circumscribed polygon (Prop. VI. Cor. 3.). Now, as...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 432 pages
...a side of the given inscribed polygon; EFj parallel to AB, a side of the circumscribed polygon, and C the centre of the circle. If the chord AM and the tangents AP, BQ, be drawn, AM" will be a side of an in146 E scribed polygon, having twice tlie number of sides; and AP+PM— 2PM or PQ, will be. a side...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 pages
...the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ;...parallel to AB, a side of the circumscribed polygon, and C the centre of the circle. If the chord AM and the tangents AP, BQ, be drawn, AM will be a side...
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