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Books Bücher 1 - 10 von 127 in The angle at the centre of a circle is double of the angle at the circumference upon...
" The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. "
An Encyclopædia of Architecture: Historical, Theoretical, and Practical - Seite 316
von Joseph Gwilt - 1842 - 1089 Seiten
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 Seiten
...; that is, the centre is in CA. Therefore, if a ftraight line, &c. D. D PROP. XX. THEO R. THE nngle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let B t. b 32....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...; that is, the centre is in CA. Therefore, if a ftraight line, &.c. Q^ ED a is. 3. PROP. XX. THEOR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC be a circle,...
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Elements of the philosophy of the human mind

Dugald Stewart - 1802
...different quantities, and the connexions which exifl between different relations. When we demonftrate, that the angle at the centre of a circle is double of the angle at the circumference on the fame bafe, we afcertain a relation between two quantities. When we demonftrate,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 Seiten
...the centre ; that is, the centre is in CA. Therefore, if a flraight line, &.c. Q^ED PROP. XX. THE OR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC be a circle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 Seiten
...centre ; that is, fore, if a straight line, &c. QB the centre is in CA. ED PROP. XX. THEOR. s«« N. THE angle at the centre of a circle is double of the angle at the circumference, upon the same base* that is, upon the same part of the circumference. B a 5.1. b33....
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 Seiten
...straight lines CA, CD, and CB being all equal, the point C is the centre of the circle. PROP. XIX. THEOR. The angle at the centre of a circle is double of the angle which, standing on the same arc, has its vertex in the circumference. Let AB be an arc of a circle;...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 Seiten
...CBD, of the triangle ABC, is equal to the sum of the internal and opposite angles A and C. Fig. 3710. The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference : thus the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED PROP. XX. THEOR. THE angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference. Let ABC be a circle,...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 Seiten
...lines CA CD, and CB being all equal, the point C is the centre of the circle. PROP. XV. THEQR. . , The angle at the centre of a circle is double of the angle which, standing on the same arc, has its vertex in the circumference.. Let AB be an arc of a circle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...the centre; thafris, the centre is in CA. Therefore, if* straight line, &c. QED r B PROP. XX. THEOR. The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference. . Let ABC be a...
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