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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 the base, together with the square of the... "
A Supplement to the Elements of Euclid - Seite 325
von Daniel Cresswell - 1825 - 582 Seiten
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...straight line which likewise cuts the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the segments of the base, together with the square of th« straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...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...base, together with the square of the straight line, which bisects the angle. PROP. C. THEOREM. If from any angle of a triangle, a straight line be drawn...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 Seiten
...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...bisecting the angle. LET abc be a triangle, and let the angle bac be bisected by the straight line ad ', the rectangle ba, a C '* equal to the rectangle bd,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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...bisecting 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,...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 Seiten
...triangle 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...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 Seiten
...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...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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 Seiten
...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 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 Seiten
...triangle 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 Seiten
...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 - 1857 - 242 Seiten
...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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