 | 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.... | |
 | 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,... | |
 | 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,... | |
 | 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,... | |
 | 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.... | |
 | 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 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... | |
 | 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,... | |
 | Sir John Leslie - Geometry - 1817 - 456 pages
...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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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... | |
| |
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. 
