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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Side 169
av Robert Simson - 1827 - 513 sider
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 sider
...perpendicular be drawn to the base ; the rectangle contained by the sides of the triangle equals that contained by the perpendicular and the diameter of the circle described about the triangle. Given ABC a triangle, AD a perpendicular from the vertex A to the base, also AE the diameter of the...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 sider
...(d)p. 16, 6; (c)p. 3, 2; (/) p. 35, 3. C Th. If from any angle of a triangle a perpendicular be drawn to the base; the rectangle contained by the sides of the triangle equals that contained by the perpendicular and the diameter of the circle described about the triangle....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts the base; the rect-angle contained by the sides of the triangle is eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - 1847 - 478 sider
...inscribed circle, we may ghew that the rectangle contained by the sum of the perpendiculars and the sum of the sides of the triangle, is equal to the rectangle contained by the sum of the sides, and the sum of the radii of the inscribed and circumscribed circles. 20. Let...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...sectors. PROP. B. THEOREM. 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 straight line, which bisects the angle. PROP....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...PROPOSITION B. — THEOREM. 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 straight line bisecting the angle. LET abc...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...PROPOSITION B. THEOR. 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 loathe rectangle contained by the segments of the base, together with the square of the straight line...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...equal to the three sides of the triangle. 6. If from the angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...contained by the perpendicular and the diameter of the circumscribing circle. 7. Draw a straight line perpendicular to a given plane from a given point above...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...+DA2. PROP. C. THEOR. If from any anglt of a triangle a straight line be drawn perpendicular to tht base; the rectangle contained by the sides of the...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...extreme and mean ratio. 3. If an angle of 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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