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" If the vertical 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 contained by the segments of the base, together with the square on the straight... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Strona 58
autor: Euclides - 1845
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - Liczba stron: 292
...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. Let ABC be a triangle,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - Liczba stron: 128
...angle of a triangle be bisected by a straight line which 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 bisecting line. Let ABC be a ^\, and the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - Liczba stron: 334
...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 straight line bisecting the angle. Let ABC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - 1847 - Liczba stron: 118
...equiangular, and AR : AF:: FB : BN ; also 4.AF.FB = 4.AR.BN = AL.BN. 131. By Euc. iv. 4, twice the area of the triangle is equal to the rectangle contained by the sum of the sides and the radius of the mscribed circle. By Theorem 137, p. 362, the area is expressed in terms of the sides...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - Liczba stron: 52
...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 straight line, which bisects the angle. PROP....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - Liczba stron: 400
...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. Let ABC be a triangle,...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - Liczba stron: 176
...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. LET abc be a triangle,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - Liczba stron: 270
...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. Let AB С be a triangle,...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - Liczba stron: 976
...a 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 by the segments of the base, together with the square of the straight line which bisects the angle. Section...
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National Society's Monthly Paper

1855 - Liczba stron: 264
...a 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....
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