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" IV. 34. Having given the vertical angle of a triangle, and the radii of the inscribed and circumscribed circles, to construct the triangle. 35. Given the base and vertical angle of a triangle, and also the radius of the inscribed circle, required to construct... "
New Cambridge Guide; Or, A Description of the University, Town, and County ... - Página 3
1804 - 130 páginas
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

1821 - 425 páginas
...the rule for finding the greatest common 2l6 measure of two quantities ; and reduce „ to its o 1 op lowest terms. 4. If an angle of a triangle be bisected...be balanced on a point under the center of gravity. cillates seconds, find by means of it how far a body will fall freely by the force of gravity in t"....
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Problems in the Different Branches of Philosophy: Adapted to the Course of ...

Miles Bland - 1830 - 374 páginas
...angles of a triangle, and the radius of the circumscribing circle ; determine the sides. 56. Having given the three angles of a triangle, and the radius of the inscribed circle ; determine the sides. 57. Having given a, b, two sides of a plane triangle, and (n)...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845
...". A . " C sm. _ sm. — B , C sm- + BC sm. — sm. -gPROBLEM V. Giwe?i the three angles of a plane triangle, and the radius of the circumscribing circle, to find the sides of the triangle. As in Problem III. CQ, . CD=AC . CB CQ . CB sin. B=AC . CB AC=2 R sin. B So, BC=2...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 5y. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. 60. A straight line is drawn from the extremity of the...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...sin. — sin. — — BC or a=r . /B , C sm- + BC •ID. sin. PBOBLEM V. e <Aree angles of a plane triangle, and the radius of the circumscribing circle, to find the sides of the triangle. As in Problem III. CQ . CD=AC . CB CQ . CB sin. B=AC . CB AC=2 R sin. B So, BC=2 R...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 232 páginas
...sin. — 2 2 /BC Sin. ITT + "7T ~ B ; c sm. — sm. -g PROBLEM V. Given the three angles of a plane triangle, and the radius of the circumscribing circle, to find the sides of the triangle. As in Problem III. CQ . CD=AC . CB CQ . CB sin. B=AC . CB AC=2 R sin. B So, BC=2 R...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. 37. If the base and vertical angle of a plane triangle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. 37. If the base and vertical angle of a plane triangle...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. ; 37. If the base and vertical angle of a plane triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. 37. If the base and vertical angle of a plane triangle...
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