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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 Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...PROP. III. PROB. ABOUT a given circle to describe a triangle equiangular to a given triangle. Let ARC be the given circle, and DEF the given triangle ; it is required to describe a triangle about the circle ABC equiangular to the triangle Dl£F. Produce EF both ways to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...of the circle. Which was to be done. 3. 1. 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 trianBouR IV. gle ; it is required to inscribe in the circle ABC a triangle ~*~v^ equiangular to the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...the circle ABC. Which was to be done. 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. Produce EF both ways to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...done. PROP. III. PROB. IriAboict a given circle to describe a triangle equiangular to a given. angle. Let ABC be the given circle, and DEF the given triangle ; it ig required to describe a triangle about the circle ABC equiangular to the triangle DEF. Produce EF...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...in the circle ABC. Which was to be done. PROP. III. PROB. Almi 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. Produce EF both wayt to...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...of the circle AEF, CA is equal to PROPOSITION II. PKOBLEM. 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 in the circle ABC to inscribe a triangle equiangular to the triangle DEF. ABC in the point A, and at...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...in the given circle ABC, 8tc. 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 in the circle ABC to inscribe a triangle equiangular to the triangle DEF. Draw GH touching the circle...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...the circle ABC. Which was to be done. 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. Produce EF both ways to the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...the circle ABC. Which was to be done. 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. Produce EF both ways to the...
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