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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 ... - Página 117
por Euclid - 1789 - 272 páginas
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...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. A EF Draw the straight line...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...inscribed in the circle ABC. QEP PROPOSITION III. PROBLEM. . About a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given circle, and DE.Fthe given triangle. It is required to describe a triangle about the circle ABC equiangular to the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...inscribed in the circle ABC. UK F, PROPOSITION m. PROBLEM. Abimt, 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 ABG equiangular to the triangle DEF. Produce EF both wavs to the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...inscribe a triangle equiangular to a given triangle. (References — Prop. I. 23, 32; HI. 17, 32.) 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. ,O CONSTRUCTION Draw the straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...than the diameter of the circle. QEF PROPOSITION 2. 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 of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...the diameter of the circle. QEF PROPOSITION II. PROBLEM. Iti a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEFthe given triangle. It is required to inscribe in the circle ABC a triangle equiangular to the triangle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...inscribed in the circle ABC. QEF PROPOSITION 3.— Problem. 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. Construction. Produce EF...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...than the diameter of the circle. QEF PROPOSITION IL PROBLEM. In a given circle to Inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and D£-Pthe given triangle. It is required to inscribe in the circle ABC a triangle equiangular to the...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 páginas
...and it is inscribed in the circle ABC*. PROBLEM 8. About a given circle to circumscribe 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. Construction. Produce EF...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...containing an angle equal to D. Proposition 26. 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 DEF. angle DEF, and the angle GAB equal to the...
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