 | Euclid - 1781 - 552 pages
...; 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. t. Let ABC be... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...; 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, and BDC... | |
 | Dugald Stewart - Logic - 1802 - 632 pages
...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, that triangles of the... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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, and BDC... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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. Let ABC be a circle,... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...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;... | |
 | John Mason Good - 1813 - 714 pages
...touching line, the centro of the circle shall be in that line. Prop. XX. Theor. Tin: angle at tlie centre of a circle is double of the angle at the circumference, upon the same ha.-e, that is, upon the same part of the circumference. Prop, XXI. Theor. The angles... | |
 | Dugald Stewart - Psychology - 1814 - 528 pages
...quantities, and the connections which exist between different relations. When we demonstrate, that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate, that triangles of the same altitude... | |
 | John Gummere - Surveying - 1814 - 398 pages
...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 EEC is double... | |
 | Euclides - 1816 - 588 pages
...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, and BEC... | |
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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. 
