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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 from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...side of the given inscribed polygon; lEF, 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 inE M scribed polygon, having twice the number of sides; and AP+PM=2PM or PQ, will be a side .of...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...find the surfaces of 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. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...circumscribed polygon, and С the centre of the circle. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side of the inscribed polygon, having twice the number of sides ; and PQ, the double of PM, will be a side of the similar circumscribed polygon. Let A, then, be the surface...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given OP inscribed polygon; EF, parallel to AB, a side of the circumscribed polygon, and C the centre of the circle. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...find the surfaces of 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. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 pages
...polygon, and C the centre of the \ \ circle. Draw the chord AM, and \ \ / B the tangents AP, BQ ; then AM will be a side of the inscribed polygon, having twice the number of u sides ; and PQ, the double of PM, will be a side of the similar circumscribed polygon. B' that of...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...circumscribed polygon, and C the centre of the circle. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side of the inscribed polygon, having twice the number of u sides ; and PQ, the double of PM, will be a side of the similar circumscribed polygon. Let A, then,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...find the surfaces of 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. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...circumscribed polygon, and C the center of the circle. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side of the inscribed polygon, having twice the number of sides ; and PQ, the double of PM, will be a side of the similar circumscribed polygon. Let A, then, be the surface...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...circumscribed polygon, and C the center of the circle. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side of the inscribed polygon, having twice the number of sides ; and PQ, the double of PM, will be a side of the similar circumscribed polygon. Let A, then, be the surface...
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