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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...
The Elements of Euclid - Página 143
por Euclid - 1838 - 416 páginas
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## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likentist 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 straight line bisecting the angle* Let...
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## A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 616 páginas
...the straight line bisecting the angle. \ I A" I. TH. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle...diameter of the circle described about the triangle. LVII. TH. The rectangle contained by the diagonals of a quadrilateral rectilineal figure, inscribed...
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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1058 páginas
...AD. Wherefore, if an angle, &c. QE D PROP C. THEOREM. If from an ansie of a triangle a straight line be drawn perpendicular to the base ; the rectangle...rectangle contained by the perpendicular and the diameter ofutt circle described about the triangH Let ABC be a triangle, and AD the perpendicular from the angle...
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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...an angle, &c. 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...the angle A to the base BC : the rectangle BA, AC shall be equal to the rectangle contained by AD and the diameter of the circle described about the...
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## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 páginas
...be drawn from any angle perpendicular to the opposite side, the rectangle contained by the other two sides of the triangle is equal to the rectangle contained...the perpendicular and the diameter of the circle. Let ABC be a triangle, and AD the perp. drawn from the angle A to the opposite side BC ; the rectangle...
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## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 356 páginas
...DA", Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be drawn perpendicular to the base; the rectangle...the triangle is equal to the rectangle contained by the perpen dicular, and the diameter of the circle described about the tri angle. Let ABC be a triangle,...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 348 páginas
...DA2. Wherefore, if an angle, &c. QED PROP. C. THEOR. 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 if equal to the rectangle contained by the perpendicular, and the diameter of the circle described...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...PROP. B. THEOR. See N. 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 straight line bisecting the angle. Let ABC...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 páginas
...Wherefore, if an angle, &c. QED PROP. C. THEOR. Book VI. from any angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle...the perpendicular, and the diameter of the circle descri: bed about the triangle. \Let ABC be a triangle, and AD the perpendicular from the angle A to...
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## Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 páginas
...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 of...the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. 22. The...
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