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" If an equilateral triangle be inscribed in a circle, and the adjacent arcs cut off by two of its sides be bisected, the line joining the points of bisection shall be trisected by the sides. "
Self-examinations in Euclid - Pàgina 175
per John Martin Frederick Wright - 1829 - 188 pàgines
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pàgines
...whose diameter is the base. Required proof. 7. If an equilateral triangle be inscribed in a circle, and the adjacent arcs cut off by two of its sides be bisected, the line joining the points of bisection shall be trisected by the sides. 8. If an equilateral triangle be inscribed in...
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382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883 - 212 pàgines
...MK, and join MS, MR, RN. T7B J 18 EXERCISE 31. If an equilateral triangle be inscribed in a circle, and the adjacent arcs cut off" by two of its sides be bisected; the line joining the points of bisection will be trisected by the sides. (Fig. 31, Plate III.)—Let ABC be an equilateral...
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Examinations Papers

1888 - 666 pàgines
...D,E respectively. Prove that DA : DB - EA : EC. If an equilateral triangle be inscribed in a circle, and the adjacent arcs cut off by two of its sides be bisected, the straight line joining the points of bisection will be trisected by the sides. 6. In a right-angled...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 pàgines
...of one is double that of the other. 66. If an equilateral triangle be inscribed in a circle, and the arcs cut off by two of its sides be bisected, the line joining the points of bisection will be trisected by the sides. 67. Given the hypotenuse of a right-angled triangle...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 pàgines
...of one is double that of the other. 66. If an equilateral triangle be inscribed in a circle, and the arcs cut off by two of its sides be bisected, the line joining the points of bisection will be trisected by the sides. 6f. Given the hypotenuse of a right-angled triangle...
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