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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 115
por Euclid - 1789 - 272 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...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 - 528 páginas
...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 - 317 páginas
...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 - 1819 - 333 páginas
...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 - 1825 - 372 páginas
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 páginas
...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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...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 - 513 páginas
...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 Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...than the diameter of the circle. 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. Draw the straight line GAH touching...
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