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" If from the vertical 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... "
A Supplement to the Elements of Euclid - Side 366
av Daniel Cresswell - 1819 - 410 sider
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...sides of the triangle. 6. If from the 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 circumscribing circle. 7. Draw a straight line perpendicular...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...&c. QED PROP. С. THEOREM. If from any 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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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 triangle is equal to the rectangle contained by the perpendicular, and the diameter of thc circle described about the triangle. Let ABC be a triangle,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...given rectilineal figure. 6. If from any 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. The rectangle contained...
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National Society's Monthly Paper

1856 - 376 sider
...ratios of their sides. 3. If from any 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 deseribed about the triangle. SECT. II. — I . If...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 sider
...proportional between them. 6. 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 ia equal to the rectangle contained by the segments of the base, together with the square of the straight...
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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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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 sider
...mean proportional between the inscribed and circumscribed equilateral triangles of the same circle. 8. If an angle of a triangle be bisected by a straight...base, together with the square of the straight line which bisects the angle. 9. Given the sum of the sides of a triangle and the angles at the base, to...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...pentagon in a given circle. Given the side of the pentagon, 10 feet, find the radius of the circle. 2. If an angle of a triangle be bisected by a straight...base together with the square of the straight line which bisects the angle. If BAG be the triangle, AD the bisecting line, E the point in which AD meets...
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