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" 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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 100
by John Keill - 1723 - 364 pages
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...Circle to defcribe a Triangle, equiangular to a Trian^e giveu. LET ABC be the given Circle, and DEF tho given Triangle. It is required to defcribe a Triangle...Produce the Side EF both Ways to the Points G . and Hy; and find the Center of the Circle K, and any how draw the Liije KB. Then at the Point K, with KB...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...PROP. III. PROB-. ABOUT a giveft circle to defcfibe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle;...circle ABC equiangular to the triangle DEF. Produce EF both ways to the points G, H, and find the center K of the circle ABC, and from it draw any ftraight...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...given. TETABC be the given Circle, and D £ F the ••-'given Triangle. It is required to defcribt a Triangle about the Circle ABC, equiangular to the...EF, both Ways, to the Points G and H, and find the Centre of the Circle K, and any how draw the Line K B. Then at the Point K, H 4 with • 23. i. with...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...infcribe a triangle equiangular to a given triangle. G .i Book iv. * i7 3. b 43. i. c 32. i." d 3».I. Let ABC be the given circle, and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to tru- triangle DEF. Draw * the ftraight line GAH...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...PROP. III. To eircttrofcribe a triangle, about a given circle, equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle; it is required to circumfcribe a triangle about the circle ABC equiangular to the triangle DEF. Let EF be produced towards...
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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 GAH...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...To circumfcribe a triangle about a given circle, that fhall be equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to circumfcribe a triangle about the circle ABC that fhall be equiangular to the triangle DEF. Produce...
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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
...done. I PROP. II. PRO B. IN a given circle to infcribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to the triangle DEF. Draw a the ftraight line GAH...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...i. I PROP. II. PROB. N" a given circle, to infcribe a triangle equiangular to a given triangle. Let ABC be the given 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 GAH...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; is is required to defcribe a triangle about the circle ABC equiangular to the triangle DEF. Produce EF both ways to the points G, H, and find the centre K of the circle ABC, and from it draw any ftraight...
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