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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 - Pagina 366
door Daniel Cresswell - 1819 - 410 pagina’s
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Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - 1859 - 140 pagina’s
...rectilineal figure. 4. 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 triangle. 5. Given the perimeter...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pagina’s
...the whole circumference. If an angle of a triangle be bisected by a straight line, -which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line bisecting the angle. Given a triangle ABC, and the angle BAC bisected by the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...PROPOSITION C. 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 ABC be a triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 334 pagina’s
...the sector PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewse cuts the base; the rectangle contained by the sides of the triangle is equal to th« rectangle contained by the segments of the base, together with the square of the straight line...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pagina’s
...and equiangular pentagon. 4. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...base, together with the square of the straight line which bisects the angle. 5. If a solid angle be contained by three plane angles, any two of them are...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pagina’s
...square that lies without the circle. 2. If from any angle of a triangle a perpendicular be let fall on 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 sides of a right-angled...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pagina’s
...the base, or the base produced, the difference of the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 6. If two parallel planes be cut by another plane their common sections with it are parallels. A pyramid...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pagina’s
...PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pagina’s
...in the pentagon FDEGC. 11. 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. If ABC be the triangle,...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pagina’s
...base or the base produced, the difference between the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 12. A pyramid is cut by a plane parallel to the base; show that the section is a figure which is similar...
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