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" ... 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. "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Page 143
by John Playfair - 1855 - 317 pages
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Examinations Papers

1887 - 644 pages
...circumscribing circle. 15. If the vertical 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 that contained by the segments of the base together with the square on the straight line which bisects...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...areas of the triangles AGB, FGE. n. If an angle of a triangle be bisected by a straight 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 of the straight line which bisects the angle. If...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...PROPOSITION B. THEOREM. 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 on the straight line bisecting the angle. Let L...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...double of AB. 6. 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 segments of the base, together with the square on the straight line which bisects the angle. 7....
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Wisconsin Journal of Education, Volume 20

Education - 1890 - 714 pages
...similar to a given triangle. 3. If the vertical 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....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...rectangle contained by the segments of the base. PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line be drawn perpendicular...the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...perpendicular be drawn from a vertex of a triangle to the opposite side, the rectangle contained by the otlter sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given triangle ABC to the opposite side BC ':...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...perpendicular be drawn from a vertex of a triangle to the opposite side, the rectangle contained by the other sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given triangle ABC to the opposite side BC ':...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1074 pages
...circle. 18 6. If the vertical angle of a triangle be bisected by a straight line which like- 18 wise 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 or the straight line which bisects the angle. PLANE...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...difference between BF and GG. II. If any angle of a triangle is bisected by a straight lino which outs 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 line which bisects the angle. Whence Prove...
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