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" If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the... "
A Supplement to the Elements of Euclid - Page 326
by Daniel Cresswell - 1819 - 410 pages
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...QED PROP. C. THEOR. If 'from any angle of a triangle a straight line be drawn See N. perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...circles, &c. QED PROP. B. THEOR. Ifyn angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides...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
...PROPOSITION B. See N. THEOn. — If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...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
...QED PROP. C. THEOR. &* N. If from any angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. Let ABC be a triangle,...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...the inside or outside. 21. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...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
...line bisecting the angle. C. If from any angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. D. The rectangle contained...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the Lose; the rectangle contained by the sides of the triangle...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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...if an exterior angle, &c. PROP. D. THEOR. IF from an angle of a triangle a perpendicular be drawn to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...AD. PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Describe (IV. 5) 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
...circles, &c. QED PROP. B. THEOR. IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides...square of the straight line bisecting the angle.* Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD ; the rectangle BA, AC...
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