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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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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. Let ABC be a triangle, and AD the perpendicular from the angle...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 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. Let AB С be a triangle, and AD the perpendicular drawn from the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...triangle a straight line be drawn perpendicular to tht base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular, and the diameter of thc circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...circle described about a triangle in terms of the sides; and~ prove that the rectangle-contained by any two sides of a triangle is equal to the rectangle contained by the diameter of the circumscribed circle and the perpendicular let fall upon the remaining side from...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 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 two sides can never be less than...
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National Society's Monthly Paper

1856 - 376 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 deseribed about the triangle. SECT. II. — I . If the line bisecting the vertical angle of...
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Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 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. 5. Given the perimeter and the angles of a triangle ; required...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 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. Let ABC be a triangle, and AD the perpendicular from the angle...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...of a triangle a perpendicular be let fall on 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 sides of a right-angled triangle are 1*5 and 2 feet respectively,...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...st. line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangk is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. D. 1 H. 21, III. 2 32, I. 4 , VI. з| ic, vi .3,I. 4 35, III....
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