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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 (1 7. 3.) the straight line... "
Euclid's Elements of geometry, transl. To which are added, algebraic ... - Page 95
by Euclides - 1826
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...III. PROBLEM. About a given Circle to defcribe a Triangle , equiangular to a "Triangle given. T ET ABC be the given Circle, and DEF the *-* given Triangle. It is required to defcribe a Triangle about the Circle ABC equiangular to the Triangle DEF. Produce the Side EF both...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...PROB. fN a given circle to infcribe a triangle equiangular to a given triangle, a. 17.jb. *ji Book IV. Let ABC be the given circle, and DEF the given triangle ; it ii required to infcribe in the circle ABC a triangle equiangular to the triangle DEF. Draw * the ftraight...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...circle ABC. Which was to be done. PROP. III. PRO B. b iT. c. i3. 3. ABOUT a given circle to defcribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle j it is required to defcribe a triangle about the circle ABC equianuular to the triangle DEF. Produce...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...greater than the diameter of the circle. Which was to be done. PROP. II. , In a given circle, to infcribe a triangle equiangular to a given triangle. Let ABC...circle, and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to the ' triangle DEF. ''' Let GAH be drawn, touching...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...infcribe a triangle equiangular to a given triangle. Gi Let a 5j. 3. b ,3. z. e 3>- 3d 3*. i. *• Let ABC be the given circle, and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equianeular to the triangle DEF. Draw t the ftraight line...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...III. PR OBLE M. About a given 'Circle to defer the a Triangle, equiangular to a Triangle given. IETABC be the given Circle, and DEF the . . ••-' given Triangle. It is required to defcube a Tiiangle about the Circle ABC, equiangular to the Triangle DE F- ' Produce the Side EF,...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...was to be done. I 2 PROP. PROP. II. PROBLEM. To infcribe a triangle in a given circle, that fhall be equiangular to a given triangle. Let ABC be the given circle, and DBF the given trian-v gle ; it is required to infcribe a triangle in the circle ABC, that fhall be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the circle ABC. Which was to be done. PROP. ABOUT a given circle to defcribe a triangle cquiangular to a given triangle. Let ABC be the given circle, and DEF tfie given triangle; it is required to defcribe a triangle about the circle ABC ecmiang»ilar to the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...diameter of the circle. Which was to be done. 33. i. I PROP. II. PROB. N" a given circle, to infcribe a triangle equiangular to a given triangle. Let ABC...circle, and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to the triangle DEF. Draw » the itraight line...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...triangle DEF. QED PROP. III. PROBLEM. • To circumfcribe a triangle about a given circle, that fliall be equiangular to a given triangle. Let ABC be the given circle, and DEF the given tri. angle ; it is required to circumfcribe a triangle about the circle ABC that fhall be equiangular...
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