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" 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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 149
by John Playfair - 1842 - 317 pages
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 352 pages
...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...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 pages
...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...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...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 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 - Geometry, Plane - 1860 - 380 pages
...bisected by a straight line which likewise cuts the base ; the rectangle contained by the tides of the triangle is equal to the rectangle contained by...the segments of the base, together with the square on the ttraight line which bisects the angle. Let ABC be a triangle, and let the angle BAC he bisected...
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Examination papers used at the examination of candidates for appointment to ...

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

Euclides - 1861 - 464 pages
...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 bisects the angle. CON. 5, IV. To dcse. a 0 about a given ะด . Pst 2, 1, I. DEM. 21,...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...triangle be bisected by a straight line that cuts the base, the rectangle containedby the sides of the triangle is equal to the rectangle contained by...base together with the square of the straight line which bisects the angle. ACB is a right angled triangle, CD bisects the right angle C cutting the base...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pages
...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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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...base, together with the square of the straight line which bisects the angle. Prop. C. If from any angle of a triangle, a straight line be drawn perpendicular...
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