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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... "
Sessional Papers - Página 155
por Ontario. Legislative Assembly - 1905
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...QED PROP. C. THEOR. See 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...ratios are equal to one another, which may be inferred from 11. 5. PROP. III. THEOR. Book VI. IF the angle of a triangle be bisected by a straight line which also cuts the base, the segments of the base will have the same ratio which the other sides of the triangle have to each other...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 páginas
...PROB. B. THEOR. s«eN«e. 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 reelangle contained by the segments of the base, together with the square of the straight line bisecting...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...&c. QED PROP. C. THEOR. . IF from any angle of a trianglte 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...Q, E. U 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 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 800 páginas
...the angle. 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 is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Prop. D. Theor. The...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 páginas
...AD*. PROP. LVI. 65. 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. Let ABC be a A , and...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...angles by the straight line AD. Therefore, if the angle, &c. Q,. ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the segments between the bisecting line and the extremities of the base have the same ratio...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 616 páginas
...segments from the two remaining sides, the less of those sides having been produced. LV. TH. If an angle of a triangle be bisected by a straight line,...also cuts the base, the rectangle, contained by the •ides of the triangle, is equal to the rectangle contained by the segments of the base, together...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...&c. QE D PROP C. THEOREM. If from an ansie 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 ofutt circle described about the triangH Let ABC be a triangle,...
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