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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 Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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...be bisected by the straight line AD; the rectangle BA, AC shall be equal to the rectangle BD, DC, together with the square of AD. Describe* the circle...
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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...be bisected by the straight line AD: the rectangle BA, AC is equivalent to the rectangle BD, DC, together with the square of AD. Describe the circle (5....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 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...AD ; the rectangle BA.AC is equal to the rectangle BD.UC, together with the square of AD. Describe the circle (Prop. 5. 4.) ACB about the triangle, and...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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...be bisected by the straight line AD : the rectangle BA, AC is equal to the rectangle BD, DC, together with the square of AD. • s. 4. Describe the circle*...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...bisected by a straight line, nhich lilcewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by...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 by the straight...
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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
...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...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 by...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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 = BD.DC+...
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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 BAX AC=BDX...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...straight line which likewise 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 of th« straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 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...base, together with the square of the straight line, which bisects the angle. PROP. C. THEOREM. If from any angle of a triangle, a straight line be drawn...
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