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" If the vertical angle of a triangle be bisected by a straight line which also cute 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 on the straight... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pągina 145
per John Playfair - 1856 - 318 pągines
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pągines
...PROP. C. THEOR. Book VI. 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pągines
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pągines
...EHF. Wherefore, in equal circles, &c. QED 2 B BookVF. '— > — ' PROB. B. THEOR. s«eN«e. IF an angle of a triangle be bisected by a straight line,...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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...circumferences on which they stand have to one another : so also have the sectors. Prop. B. Theor. If an angle of a triangle be bisected by a straight line,...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base;...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...in equal circles, &c. QED Boox VI. ' ..,[_.s ^^ / PROP. B. THEOR. .. A-'' ••" •.' Se'N. IF an angle of a triangle be bisected by a straight line...square of the straight line, bisecting the angle. * 5.4. Describe the circle3 ACB about the triangle, and proLet ABC be a triangle, and let the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pągines
...&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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A supplement to the Elements of Euclid

Daniel Cresswell - 1819
...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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...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 - 1825 - 582 pągines
...triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the •ides of the triangle, is equal to the rectangle contained...the square of 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pągines
...so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B- THEOREM. If an angle of a triangle be bisected by a straight line...the rectangle contained by the sides of the triangle it equal to the rectangle contained by the segments of the base, together tcilh the square of the straight...
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