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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. "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 132
بواسطة University of Cambridge - 1821 - عدد الصفحات: 425
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - عدد الصفحات: 380
...side of an equilateral triangle inscribed in a circle whose diameter is the base. Required proof. 7. If an equilateral triangle be inscribed in a circle,...bisected, the line joining the points of bisection shall be trisected by the sides. 8. If an equilateral triangle be inscribed in a circle, any of its...

Elements of Geometry and Conic Sections

Elias Loomis - 1860 - عدد الصفحات: 246
...of the other. \ Prop. 5. If an equilateral triangle be inscribed in a circle, and the arcs cut oft" by two of its sides be bisected, the line joining...points of bisection will be trisected by the sides, v, Prop. 6. The side of an equilateral triangle inscribed in a circle is to the radius, as the square...

Elements of Geometry and Conic Sections

Elias Loomis - 1861 - عدد الصفحات: 244
...is double that of the other. Prop. 5. If an equilateral triangle be inscribed in a circle, and the arcs cut off by two of its sides be bisected, the...points of bisection will be trisected by the sides. Prop. 6. The side of an equilateral triangle inscribed in a circle is to the radius, as the square...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - عدد الصفحات: 262
...side of an equilateral triangle inscribed in a circle whose diameter is the base. Required proof. 7. If an equilateral triangle be inscribed in a circle,...bisected, the line joining the points of bisection shall be trisected by the sides. 8. If an equilateral triangle be inscribed in a circle, any of its...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - عدد الصفحات: 448
...side of an equilateral triangle inscribed in a circle whose diameter is the base. Required proof. 7. If an equilateral triangle be inscribed in a circle, and the adjacent arcs cut oif by two of its sides be bisected, the line joining the points of bisection shall be trisected by...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - عدد الصفحات: 528
...side of an equilateral triangle inscribed in a circle whose diameter is the base. Required proof. 11. If an equilateral triangle be inscribed in a circle,...bisected, the line joining the points of bisection shall be trisected by the sides. 12. If an equilateral triangle be inscribed in a circle, any of its...

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - عدد الصفحات: 286
...is equal to the side of an equilateral triangle inscribed in a circle whose diameter is the base. 5. If an equilateral triangle be inscribed in a circle,...bisected, the line joining the points of bisection shall be trisected by the sides. 6. The perimeter of an equilateral triangle inscribed in a circle...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - عدد الصفحات: 434
...whose diameter is the base. Kequired proof. 7. If an equilateral triangle be inscribed in a cirele, and the adjacent arcs cut off by two of its sides...bisected, the line joining the points of bisection shall be trisected by the sides. 8. If an equilateral triangle be inscribed in a circle, any of its...

An Elementary Course of Plane Geometry

Richard Wormell - 1870 - عدد الصفحات: 304
...is equal to the side of an equilateral triangle inscribed in a circle whose diameter is the base. 5. If an equilateral triangle be inscribed in a circle,...bisected, the line joining the points of bisection shall be trisected by the sides. 6. The perimeter of an equilateral triangle inscribed in a circle...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - عدد الصفحات: 302
...is double that of the other. Prop. 5. If an equilateral triangle be inscribed in a circle, and the arcs cut off by two of its sides be bisected, the...points of bisection will be trisected by the sides. Prop. 6. The side of an equilateral triangle inscribed in a circle is to the radius, as the square...




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