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" IF an 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 segments of... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 149
by John Playfair - 1842 - 317 pages
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...the rectangle contained by the segments of tile base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the rectangle BAX AC is equivalent to BD X DC together with the square of AD. Describe the circle ACEB about the...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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...bisected by the straight line ad ', the rectangle ba, a C '* equal to the rectangle bd, dc, together with the square of a d. Describe the circle (iv....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...which likewise cuts the base, the rectangle contained by the sides of the triangle is equal loathe rectangle contained by the segments of the base, together...the angle. Let ABC be a triangle, and let the angle BAG be bisected by the straight line AD : the rectangle BA, AC is equal to the rectangle BD, DC, together...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...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...base, together with the square of the straight line which bisects the angle. Let ABС he a triangle, and let the angle BA С be bisected by the straight...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...he 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...base, together with the square of the straight line which bisects the angle. Section 3. 1. Show that equal triangles on equal bases have equal altitudes,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...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 segments of the base, togfther with the square of the straight line bisecting tlte angle. Let ABC be a triangle, and let...
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National Society's Monthly Paper

1855 - 264 pages
...he bisected by a straight line which likewise cuts the hase, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT. III.— 1. Show...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle ia equal to the rectangle contained by the segments of...base, together with the square of the straight line which bisects the angle. CICERO.—TUSCULAN DISPUTATIONS. BOOK I. DIVISION I (A.) TRANSLATE, Capp....
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the...
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