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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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 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 bisecting the angle. Let L BAC of A BAC be bisected by AD, meeting BC in D; then...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...a straight line which cuts the base, the rectangle contained by the sides of the triangle shall be 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 having the L. BAC bisected by AD:...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...base, or base produced, the difference of the squares on this line, and on one of the equal sides of the triangle, is equal to the rectangle contained by the segments of the base. ยง34, Ex. 2. If a straight line be divided externally, the square on the straight line is equal to...
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Calendar, for the Year ...

1899 - 166 pages
...have the same ratio as the other sides of the triangle, and the rectangle contained by these 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. 8. In equal circles, angles, whether at the centres or...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1074 pages
...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 GEOMETRY (2ND PAPER). TIME, 3 HOURS. 7. If lines...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...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 III. The bisector AD of the angle BAC of a triangle...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 190 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. 51. If from any vertex of a triangle a perpendicular...
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Examination Papers

University of Toronto - 1900 - 1164 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 she square on the straight line bisecting the angle. (Prop. B, Bk. VI). 6. From two points on the same...
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Sessional Papers, Volume 37, Part 4

Ontario. Legislative Assembly - Ontario - 1905 - 1104 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 th square on the straight line which bisects the angle. If from the vertical angle of a triangle a...
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 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. If from the vertical angle of a triangle a straight line...
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