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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 geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...position, and uot greater than the diameter. PROP. II. PROBLEM. tn a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle. It '? required to inscribe in the circle ABC a triangle equiangular to thf triangle DEF. Draw the straight...
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...therefore CA is equal to D. [Axiom 1. 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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## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...straight line. 8. Be perpendicular nnn PROPOSITION 2. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEFthe given triangle : it in required to inscribe in ABC a triangle equiangular to A DEF. Take any...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 páginas
...given straight line. PROPOSITION 2. PROBLEM. In a given circle to inscribe a triangle equiangular to ti given triangle. Let ABC be the given circle, and DEF the given triangle: it is required to inscribe in the ©ABC a triangle equiangular to the A DEF. At any point A, on the Oce of the 0ABC,...
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## Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 504 páginas
...there in the different oases which may occur ? PROPOSITION 2. To inscribe in a given circle 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. CONSTRUCTION. Take any point...
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## Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 657 páginas
...abc is equiangular to the triangle ABC. PROPOSITION 3. To describe about a given circle a triangle equiangular to a given triangle. Let ABC be the given...circle and DEF the given triangle : it is required to describe about the circle ABC a triangle equiangular to the triangle DEF. CONSTRUCTION. Find the centre...
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## A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...PROPOSITION 3. PROBLEM. About a given circle to circumscribe a triangle equiangular to af/iren triangle. FH Let ABC be the given circle, and DEF the given triangle. It is required to circumscribe about the 0 ABC a triangle equiangular to the A DEF. Construction. Produce EF both ways...
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## A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...PROPOSITION 3. PROBLEM. About a given circle to circumscribe a triangle equiangular to a given triangle. FH Let ABC be the given circle, and DEF the given triangle. It is required to circumscribe about the 0 ABC a triangle equiangular to the A DEF. Construction. Produce EF both ways...
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## A School Geometry, Partes1-4

Henry Sinclair Hall - 1908
...hence it follows that ~ - <> ^ i*' 196 GEOMETRY. PROBLEM 28. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the 'given circle, and DEF the given triangle. Analysis. AA ABC, equiangular to the A DEF, is inscribed in the circle, if from any point A on the...
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## Books 3-9

Euclid - 1908
...centre and the given point. PROPOSITION 2. In a given circle to inscribe a triangle equiangular vuith a given triangle. Let ABC be the given circle, and DEF the given triangle ; thus it is required to inscribe in the circle ABC a triangle equiangular with the triangle DEF. Let...
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