Books Books ... of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ; EF, parallel to AB, a side of the circumscribed polygon ; C the centre of the circle. If the chord AM and the... Elements of Geometry and Trigonometry: With Notes - Page 107
by Adrien Marie Legendre - 1828 - 316 pages ## Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 208 pages
...circumscribed polygon being given, to find the surfaces of regular inscribed and circumscribed polygons of double the number of sides. Let ab be a side of the given inscribed polygon, then the tangents a A, b A will each be half the side of the similar circumscribed polygon : the chords... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...circumscribed, being given ; to find the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. • • » Let AB be a...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... ## 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,... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 359 pages
...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...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,... ## Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...surfaces of the regular inscribed and circumscribed polygons having double the number of sides. E M Q \ Let AB be a side of the given inscribed polygon ;...inscribed polygon, having twice the number of sides ; and PQ, double of PM, 'will be a side of the similar circumscribed polygon. (6. 5. Cor. 1.) Now, as the... ## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...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...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... ## Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...circumscribed polygon being given, to And the surfaces of regular inscribed and circumscribed polygons of double the number of sides. Let ab be a side of the given inscribed polygon : then the tangents «A, iA will each be half the side of 'f the similar circumscribed'' polygon ;... ## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...circumscribed, being given ; to find the surfaces of the regular inscribed and circumscribed 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 centre of the circle. If the chord... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 432 pages
...polygon, 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 polygon; EFj parallel to AB, a side of the circumscribed polygon, and C the centre of the circle. If the chord... 