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" ... 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
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...circles inscribed in, and circumscribed about, a regular polygon of the same perimeter, but having double the number of sides. Let AB be a side of the given polygon, O the .centre of the inscribed and circumscribed circles, OC perpendicular to AB. Join OA,...
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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
...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; lEF, parallel to AB, a side of the circumscribed polygon, and C the centre of the circle. If the chord...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1860 - 246 pages
...circumscribed polygon,being given; to find the surfaces of regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given in scribed polygon; EF parallel to AB, a side of the similar circumscribed polyH Bjn; and C the center...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...polygon, being given ; to find the surfaces of 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. 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
...polygon, being given; to V 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 ; E Г, parallel to AB, a side of the circumscribed polygon, and С the centre of the circle. Draw...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...polygon, being given ; to find the surfaces of regular 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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...polygon, being given ; to find the surfaces of 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. 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
...circumscribed polygon, being given; to 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 ; EP, parallel to , ,^ AB, a side of the circumscribed ^\\~ polygon, and C the centre of the \ \ circle....
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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
...circumscribed polygon, being given; to find the surfaces of 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. Draw the chord AM, and the tangents AP, BQ ; then AM will be a side...
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