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" If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the... "
Modern geometry [ed.] with an appendix by W.B. Jack - Page 242
by Richard Wormell - 1876
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...difference between В F und CG. II. If any angle of a triangle is bisected by a straight line which cuts the base, the rectangle contained by the sides...is equal to the rectangle contained by the segments oí the base together with the square on the line which bisects the angle. Whence Prove III. The bisector...
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Examination Papers

University of Toronto - 1900 - 1164 pages
...proposition. Apply the proposition in the construction of a rectilineal figure of given shape and size. 5. If an 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...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 634 pages
...в. If from any angle of a triangle a straight line be drawn perpendicular to the base, prove that the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. 7. If three planee meet...
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Calendar, for the Year ...

1904 - 226 pages
...contained by the whole line and one of the parts may be equal to the square on the other part. (6) If an angle of a triangle be bisected by a straight line which cuts the base, the ratio of the segments of the base will be equal to the ratio of the other sides...
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 pages
...bisects the angle. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The rectangle contained...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...see Chapter XVI. PAOB T.14.t — If from the vertical angle of a triangle a perpendicular is drawn to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by this perpendicular and the diameter of the circumscribed circle . (Euc. VI. C) 448 X.15. — If the...
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General Announcement - McGill University, Montreal

McGill University - 1911 - 178 pages
...median to that side. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. If the vertical angle...
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Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 pages
...bisects the angle. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The rectangle contained...
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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...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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Sessional Papers - Legislature of the Province of Ontario, Volume 6

Ontario. Legislative Assembly - Ontario - 1914 - 996 pages
...bisects the angle. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The rectangle contained...
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