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" IN a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. Draw* the straight line GAH touching... "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Page 24
by John Bonnycastle - 1803 - 279 pages
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...than the diameter of the circle. PROPOSITION II. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. Draw the straight line GAH touching...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...diameter of the circle. Which was to be done. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. Draw* the straight line GAH,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...diameter of the circle. Which was to be done. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle; it is required to inscribe in the circle ABC, a triangle equiangular to the triangle DEF. * 7.3. Draw* the straight line...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...another, and the triangle AEF is equilateral. PROP. III. PROB. ABOUT a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle: it is required to describe a triangle about the circle ABC equiangular to the triangle DEF. ELEMENTS ETJC. B. IV. line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...not greater than the diameter of the circle. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. " Draw (Prop. 17. 3.) the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...the circle. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given tnangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. AG, make the angle GA13 equal...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...than the diameter of the circle. QEF PROPOSITION II. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle. It is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. Draw the straight line GA H...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...the circle. Which was to be done. PROPOSITION II. PROB. — In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle ; it is required to inscribe in the circle ABC, a triangle equiangular to the triangle DEF. • 3. 1. EUCLID 8 ELEMENTS....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...not greater than the diameter of the circle. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle AG, make the angle GAB equal to the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...greater than the diameter of the circle. QEF PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given...circle, and DEF the given triangle: it is required to inscribe in the circle ABC a triangle equiangular to DEF. Draw the straight line G AH touching the...
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