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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: Viz. the First Six Books, Together with the Eleventh ... - Side 180
af Euclides - 1816 - 528 sider
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 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 - 976 sider
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...geometers. PROP. B. THEOREM If any 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. Let...
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National Society's Monthly Paper

1855 - 264 sider
...mean ratio. 3. If an angle of 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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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...that the angle DCE equals half a right angle. ., ., t , £ . -, , 5. If from any angle of a triangle, a straight line be drawn perpendicular to the base; the rectangle contained by the side:-, of the triangle is equal to the rectangle contained by the perpendicular and the diameter of...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 sider
...triangle is isosceles. The rectangle under the sides of the triangle is equal to the rectangle under the perpendicular and the diameter of the circle described about the triangle. The triangles on each side of it are si mil at to the whole triangle, and to one another. Eaon of the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...be similar to one and equal to another given rectilineal figure. 6. If from any angle of a triangle a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle. The rectangle contained by the two sides can never be less than twice the triangle. EUCLID. BOOKS I....
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National Society's Monthly Paper

1856 - 376 sider
...to one another the ratio compounded of the ratios of their sides. 3. If from any angle of a triangle a straight line be drawn perpendicular to the base,...the perpendicular, and the diameter of the circle deseribed about the triangle. SECT. II. — I . If the line bisecting the vertical angle of a triangle...
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 sider
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected 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...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 sider
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected 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...
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