 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...centre ; 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 - 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... | |
 | 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.... | |
 | 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... | |
 | Euclides - 1816 - 588 pages
...CA, is 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... | |
 | 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...Let AB be an arc of a circle ; the angle which it term!nates at the centre, is double of ADB the corresponding angle at the circumference. For join DC... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...CA, is 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 pages
...drawn at 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.... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...in CA, is 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.* LetABCbeacircle,and... | |
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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 
