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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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Parliamentary Papers, Bind 7

Great Britain. Parliament. House of Commons - 1859 - 140 sider
...to one and similar to another given rectilineal figure. 4. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle. 5. Given the perimeter and the angles of a triangle ; required to construct it geometrically. Required...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...the radius of the circle. 2. If an 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 of the straight line which bisects the angle. If...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 356 sider
...triangles of the same circle. 8. If an 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 of the straight line which bisects the angle. 9....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...square on AD. Wherefore, if an angle, &c. UKI). PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base...perpendicular from the angle A to the base BC. The rectangle .B^, AC shall be equal to the rectangle contained by AD and the diameter of the circle described about...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...BD • DC, together with the square on AD. PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle. Given a triangle ABC, and AD the perpendicular from the angle A to the base BC ; to prove that the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 334 sider
...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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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 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 similar to the whole triangle, and to one another. The perpendicular...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 sider
...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...diameter of the circle described about the triangle. The sides of a right-angled triangle are 1*5 and 2 feet respectively, find, without the use of Trigonometry,...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 sider
...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 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. 5....
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...vert. ¿ CAF, AG2 = BG . GC ,xi B А . AC PROP. C.— THEOR. If from any angle of a triangle a st. line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangk is equal to the rectangle contained by the perpendicular and the diameter of the circle described...
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