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" If from any 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 first six books of the Elements of Euclid, and propositions i.-xxi. of ... - Page 226
by Euclides - 1885
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...from a vertex of a triangle to the opposite side, the rectangle contained by the other sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given...
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Examination Papers

University of Toronto - 1901 - 1190 pages
...line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. 7. Given L cos 35° 15' = 9.9120315, Dif. for 60* = 893, find...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1902 - 942 pages
...line be drawn perpendicular to the base, prove that the rectangle contained by the 8. sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. n 7. If three planes meet each other, prove from first principles...
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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
...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 each other, prove from first principles...
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Manual

1903 - 896 pages
...E, and AB at right angles in D. Show that DE, DG - Df". 4. Show that the rectangle contained by any two sides of a triangle is equal to the rectangle contained by the perpendicular on the third side, and the diameter of the circumscribing circle. AD is the perpendicular from the...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...sees the tops of the spires at equal angles of elevation. Prove that his locus is a circle. Ex. 1825. The rectangle contained by two sides of a triangle is equal to the square on the bisector of the angle between those sides together with the rectangle contained by the...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle, and let AD be the perp. from A to the base...
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 pages
...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 by the diagonals of a. quadrilateral inscribed...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...be drawn perpendicular to the opposite side, the rectangle contained by the other two sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle circumscribed about the triangle. Let ABC be a triangle and AD the perpendicular on AB. diameter...
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General Announcement - McGill University, Montreal

McGill University - 1911 - 178 pages
...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 of a triangle be bisected by a straight...
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