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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. "
Elements of Geometry: With, Practical Applications - Page 147
by George Roberts Perkins - 1850 - 320 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...possible. If one circle is wholly within the other, there is no solution. PROPOSITION XLI.— PROBLEM. 94. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect any two of its angles, aa B and C, by straight lines meeting in O. From the point O let fall perpendiculars...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...for the circumference whose center is D intersects the given circumference in two points. PROBLEM xv. To inscribe a circle in a given triangle. Let ABC be the given triangle ; it is equired to inscribe a circle in it. Bisect the angles B and C by the ines BD, CD, meeting each...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...through this point and at the point to draw a straight line perpendicular to this diameter. PROBLEM 13. To inscribe a circle in a given triangle. Let ABC be the given triangle. It is required to inscribe a circle in ABC. If possible, let there be a circle touching the sides of...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...CAD. The tangents are therefore equal, and the line AC bisects the angle between them. PROBLEM XV. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles A and B, by the lines A 0 and BO, meeting in the p9int O (Prob. V.) ; from the point 0 let fall...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...through any three given points ; or a circle circumscribed about a given triangle. PROBLEM XIII. 16. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect any two of its angles. With the point D, where the two bisecting lines meet, as a centre, with a radius...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...possible. If one circle is wholly within the other, there is no solution. PROPOSITION XLL—PROBLEM. 94. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect any two of its angles, as B and C, by straight lines meeting in 0. From the point 0 let fall perpendiculars...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 256 pages
...through any three given points ; or a circle circumscribed about a given triangle. PROBLEM XIII. 16. To inscrIbe a circle in a given triangle. Let ABC be the given triangle. Bisect any two of its angles. With the point D, where the two bisecting lines meet, as a centre, with a radius...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874 - 234 pages
...therefore the angle T is cqu.il to the an^le A. (I. 23, eor.6.) QEF . PROP. IV.— PROBLEM. (Euc. IV. 4.) To Inscribe a circle in a given triangle. Let ABC be the given triangle; it is required to inscribe a circle in it. Bisect the angles B and C by the straight lines BO and CO...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...will be on the circumference. PRORLEM 12. To inscribe a given regtdar polygon in a circle. PRORLEM 13. To inscribe a circle in a given triangle. Let ABC be the given triangle. n Draw the bisectrices AD and BE of the angles A and B [II. Prob. 5] ; from the intersection 0, draw...
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Elements Of Geometry And Trigonometry

Charles Davies - 1874 - 464 pages
...CAD. The tangents are therefore equal, and the line AC bisects the angle between them. PROBLEM XV. To inscribe a circle in a given triangle. Let ABC be the g1ven triangle. Bisect the angles A and B, by the lines A 0 and BO, meeting in the point 0 (Prob. V.)...
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