... 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 107by Adrien Marie Legendre - 1828 - 316 pagesFull view - About this book
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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 ;... | |
| 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... | |
| 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... | |
| Charles Davies - Geometry - 1854 - 432 pages
...polygon, being given ; to f1nd the surfaces of the regular inscribed and circumscribed polygons having **double the number of sides. Let AB be a side of the...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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