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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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 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...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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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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...contained by the segments of the base, together with the square of the straight line which bisects the angle. Let ABC be a triangle, and let the angle BAC be bisected by the straight line A D. The rectangle BA.AC is equal to the rectangle B DD C, together with the square of A D. Describe...
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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
...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 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
...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 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 by...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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 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...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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Wisconsin Journal of Education, Volume 20

Education - 1890 - 714 pages
...angle of a triangle be bisected by a line which 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 which bisects the angle. 4. What fraction of a right angle will the angles of...
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