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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 the base, together with the square of the... "
A Supplement to the Elements of Euclid - Page 325
by Daniel Cresswell - 1825 - 582 pages
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...base ; the rectangle contained ly the sides of the triangle is equal to the rectangle contained ly 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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 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 (he base, together with the square of the straight line bisecting the angle. Let ABC be a triangle,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...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 irith the square of the straight line tvhicli bisects the angle. Let ABC be a triangle, and let the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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...bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected by the straight line AD ; the rectangle BA, AC is equal to the rectangle BD,...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...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...the square of the straight line bisecting the angle. 22. The perimeters of similar rectilinear figures are in the simple ratio, and the areas in the duplicate...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 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, to. gether with the square of the straight line bisecting the angle. C. If from any angle of a triangle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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...bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by AD; the rectangle BA.AC.is equal to the rectangle BD.DC, together with the...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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...bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected by the straight line AD ; the rectangle BA • AC is equal to the rectangle BD...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...be bisected by a straight line, which likewise cuts the Lose; the rectangle contained by the sides of the triangle is equal to the rectangle contained...segments of the base, together with the square of the stra ght line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected by the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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...bisecting the angle.* Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD ; the rectangle BA, AC is equal to the rectangle BD,...
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