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" PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC. "
Mathematics, mechanics, heat - Page 70
by American School (Chicago, Ill.) - 1903
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...[Use the method and proof of 20.] INSCRIPTION AND CIRCUMSCRIPTION Inscribed circle. 101. PROBLEM 8. To inscribe a circle in a given triangle. Let ABC be the triangle in which it is required to inscribe a circle. Bisect any two of the internal angles, say B...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...called the circum-centre of the triangle. BOOK II. PLANE GEOMETRY. PROPOSITION XXXVI. PROBLEM. 315. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the AA and C. 304 From E, the intersection of the bisectors, draw EH J- to the side AC. 300 From...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...point of intersection being the centre of the circle circumscribed about the triangle. PROBLEM 26. To inscribe a circle in a given triangle. Let ABC be the triangle, in which a circle is to be inscribed. Construction. Bisect the I.'ABC, ACB by the st. lines...
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Euclid's Elements in Greek: Vol. I: Books 1-4

Richard Fitzpatrick - Mathematics - 2005 - 298 pages
...Etc ара то 8o9sv Tpycovov то АВГ xxXoc syysypaTiTai EZH' ояер Se Troirjaat. To inscribe a circle in a given triangle. Let ABC be the given triangle. So it is required to inscribe a circle in triangle ABC. Let the angles ABC and AC В have been cut...
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A First Course of Geometry

130 pages
...given straight line. 3. Draw a tangent to a circle perpendicular to a given straight line. 89. PROP. 4. To inscribe a circle in a given triangle. Let ABC be the given triangle; . to inscribe a circle in it. Bisect the angles B, C by the straight /v . \E lines Bl, Cl, meeting...
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