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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM 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... "
Annual Report of the Association of Ontario Land Surveyors - Page 156
by Association of Ontario Land Surveyors - 1907
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...so is the T' sector BGC to the sector EHF. Wherefore, ia equal circles, &c. QE o. PROP. B. THEOR. Jf an angle of a triangle be bisected by a straight line,...rectangle contained by the segments of the base, together toith the square of the straight line which bisects the angle. Let ABC be a triangle, and let the angle...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...circumference EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B. THEOR. If an angle of a triangle be bisected by a straight...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides J>f 'the triangle is equal to the rectangle contained...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...line, which likewise 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 of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...arc BC is to EF, so is the sector BGC to EHF. Wherefore, in equal circles, &c. PROP. B. THEOB. — If an angle of a triangle be bisected by a straight...the segments of the base, together with the square of tide straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...is the sector BGC to the sector EHF. Wherefore, in equal circles, &o. QBD PROPOSITION B. THEOR. — If an angle of a triangle be bisected by a straight...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...QED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line, nhich lilcewise cuts the base ; the rectangle contained by the sides...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 BA C be bisected...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...5. 5.) as the arc BC, is to the arc EF, so is the sector BGC to the sector EHF. 149 PROP. B. THEOR. If an angle of a triangle be bisected by a straight...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...opposite Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts the base ; the rectangle contained by the sides...the segments of the base, together with the square of the bisecting line. Let ABC be a ^\, and the str. line AD bisect the L BAC ; then shall BA.AC =...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 166 pages
...bisect an angle of a triangle, and likewise cut the base ; the rectangle contained by the sides is equal to the rectangle contained by the segments of the base, together with the square of the bisecting line. Given ABC a triangle, and AD a straight line bisecting the angle BAC : then...
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