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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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...is inscribed in the circle ABC. QEP PROP. III. 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. Produce EF both ways to the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...of the circle. Which was to be done. PROPOSITION II. PROB. In a given circle to inscribe a trianyle 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 (17. in.) the straight...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Libro 1

Euclides - 1853
...the circle. Which was to be done. PEOP. III. PEOB. 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 about the circle ABC to circumscribe a triangle equiangular to the triangle DEF. Produce EF both ways...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...II. — PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. LET ab С be the given circle, and def the given triangle ; it is required to inscribe in the circle ab С a triangle equiangular to the triangle def Draw (iii. 17) the straight...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 páginas
...given triangle'. 152. PROP. LI V. About a given circle to circumscribe a triangle similar, that is, equiangular, to a given triangle. Let ABC be the given circle; and DEF the given triangle. Produce EF both ways indefinitely to points G and H ; find the centre O of the given circle, and draw...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 páginas
...not greater than the diameter of the circle. 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 ; if is required to inscribe in the circle ABC a triangle equiangular to the trianele DEF. Draw (Prop....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...PROP. II. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABС be the given circle, and DEF the given triangle.- It is required to inscribe m the circle ABС a triangle equiangular to the triangle DEF. Draw the straight line GH touching...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 páginas
...greater than the diameter of the circle. , /. PROP. II. PROB. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DBF the given triangle ; it :a required to inscribe in the circle ABC a triangle equiangular to the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 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 .D.KF'the given triangle. It is required to inscribe in the circle ABC a triangle equiangular to the...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...inscribe a triangle equiangular to a given triangle. (References — Prop. i. 23, 32 ; in. 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. CONSTRUCTION Draw the straight...
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