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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 165
by Euclides - 1834
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...omitted t 321. THEOREM [T.l4]. — If from the vertical angle of a triangle a perpendicular iB drawn to the base, the rectangle contained by the sides...the triangle is equal to the rectangle contained by this perpendicular and the diameter of the circle described about the triangle. In Fig. 457 :— Given...
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General Announcement - McGill University, Montreal

McGill University - 1911 - 178 pages
...about the triangle. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of tfie base, together with the square on the straight line which bisects the angle. The...
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Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 pages
...two other sides. If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. If...
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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...contained by the segments of the base. If from the vertical angle of a triangle a iieriiemlicular be drawn to the base, the rectangle contained by the sides of the triangle is equal to the re.-tangle contained by the per|iendicnlar and the diameter of the circle circumscribing the triangle....
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Journal of Education

Education - 1914 - 912 pages
...perpendicular to the base, the rectangle contained by the sides containing the vertical angle shall be equal to the rectangle contained by the perpendicular...diameter of the circle described about the triangle. 6. If a straight line is perpendicular to each of two straight lines at their point of intersection,...
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Sessional Papers - Legislature of the Province of Ontario, Volume 6

Ontario. Legislative Assembly - Ontario - 1914 - 996 pages
...two other sides. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. If...
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Advanced Geometry for High Schools ...

Alexander H. McDougall - Geometry - 1919 - 232 pages
...rect. AX . AD. 14. If the vertical angle of a triangle is bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square on the straight line which bisects the angle. ABC...
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The Bombay University Calendar, Volume 1

University of Bombay - 1906 - 956 pages
...triangle to the opposite side, the rectangle contained by the other sides of the triangle is eqnal to the rectangle contained by the perpendicular and...diameter of the circle described about the triangle. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum...
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Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...prove that EF is to EG as BD is to DC. 8. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle. VI. C. BIOLOGY. I. Using some specimen that you have studied as a basis, give an account of the fish...
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Calendar

University of St. Andrews - 1891 - 440 pages
...the sides about the equal angles. 7. If, from the vertical angle of a triangle, a straight line be drawn perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle. If a, b, and c be the sides of the triangle ABC, A its area, and R the radius of the circumscribed...
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