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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 the base, together with the square of the... "
A Supplement to the Elements of Euclid - Page 325
by Daniel Cresswell - 1825 - 582 pages
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...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...the segments of the base, together with the square on the straight line which bisects the angle. ALGEBEA. 1. Multiply together (x -\- a — V), (x -\-...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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...the segments of the base, together with the square on the straight lino which bisects the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 pages
...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 ofthe bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...quadrilateral inscribed in a circle intersect at right angles. 101. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the segments of the third side made by a line bisecting the opposite angle, plus the square of the bisecting line. 102....
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Geometrical Exercises for Beginners

Samuel Constable - Geometry - 1882 - 222 pages
...the arc DGFE is equal to the given arc (III. 28). PROP. 92. The rectangle contained by the sides of a triangle is equal to the rectangle contained by the segments of the base, made by the internal bisector of the vertical angle, together with the square on that bisector. Let...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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...the segments of the base, together with the square on the straight line which bisects the angle. Let ABC be a triangle, and let the angle BAG be bisected...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 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...the segments of the base, together with the square on the straight line which bisects the angle. II. ARITHMETIC. (Including the use of Common Logarithms.)...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 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...the segments of the base, together with the square on the straight line which bisects the angle. II. ARITHMETIC. [Great importance is attached to accuracy.]...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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...the segments of the base, together with the square on the straight line bisecting the angle. Let L BAC of A BAC be bisected by AD, meeting BC in D; then...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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...the segments of the base, together with the square on the straight line which bisects the angle. 7. Explain how angles are measured (1) by degrees, minutes,...
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