| Alexander Ingram - 1799 - 374 sider
...; 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... | |
| Dugald Stewart - 1802 - 632 sider
...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 - 1804 - 468 sider
...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... | |
| Robert Simson - 1806 - 546 sider
...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.... | |
| Sir John Leslie - 1809 - 522 sider
...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...circumference. Let AB be an arc of a circle; the angle which it terminates at the centre, is double of ADB the corresponding angle at the circumference. For join DC... | |
| Sir John Leslie - 1809 - 542 sider
...CD, and CB being all equal, the point C is the centre of the circle. i.. • PROP. XIX. THEOR. ;• The angle at the centre of a circle is double of the...the same arc, has its vertex in the circumference. D. Let AB be an arc of a circle ; the angle which it terminates at the centre, is double of ADB the... | |
| John Gummere - 1814 - 398 sider
...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... | |
| Euclides - 1816 - 588 sider
...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... | |
| John Playfair - 1819 - 350 sider
...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... | |
| John Mason Good - 1819 - 800 sider
...right angles to the touchingline, the centre of the circle shall be in that line. 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. Prop. XXI.... | |
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