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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 ... - Side 95
av Euclides - 1826
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...But CE is equal to D ; (const.) 3. Therefore CA is equal to D. (ax. 1.) PROPOSITION 2.— PROBLEM. In a given circle, to inscribe a triangle equiangular to a given triangle. (References— Prop. I. 23. 32; III. 17, 32.) Given. — Let ABC be the given circle, and DEF the given...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION II. PROBLEM. In a given circle to inscribe a triangle equiangular...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 sider
...it is 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 sider
...it is 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...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...given straight line D, which is not greater than the diameter of the circle. QEF PROP. II.— PROBLEM. In a given circle to 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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 sider
...triangle DEF, and it is inscribed in the circle ABC PROP. III. PROB. About a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given circle andJDEF the given triangle; it is required to describe a triangle about the circle ABC equiangular...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION 2. PROBLEM. In a given circle, to inscribe a triangle equiangular...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 for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION 2. PROBLEM. In a given circle, to inscribe a triangle equiangular...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION II. PROBLEM. Iti a given circle to inscribe a triangle equiangular...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 Edinburgh university calendar

Edinburgh univ - 1868 - 336 sider
...contained by the segments at the one is equal to the rectangle contained by the segments of the other. 8. In a given circle to inscribe a triangle equiangular to a given triangle. 9. Divide 3<z4 — ^a?b + 2zab* — 5<M by 33 + 5*. to. Divide sine, cosine, and tangent. Prove the...
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