| John Playfair - 1842 - 332 páginas
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. **The angle at the centre of a circle is double of the...the same base, that is, upon the' same part of the** circumferB Let ABC be a circle, and BDC an angle at the centre, and BAC an angle at the circumference... | |
| Joseph Gwilt - 1842 - 1089 páginas
...half the arc CFD, since these three halves of arcs make up half the circumference. 919. PROP. XLIII. **The angle at the centre of a circle is double of the angle at the** dr. cuniference. D Let the angle at the circumference ADI> (fig. 275.) and the angle at the centre... | |
| X. Y. Z. - 1843 - 124 páginas
...:. r>d, and the point (a, b) is within the circle. 5*. In a circle the angle at the centre is double **the angle at the circumference, upon the same base that is upon the same part of the circumference.** (Euclid 20, 3.) Let the centre of the circle be the origin, then (r, o) (- r, o) will be the extremities... | |
| 1844
...which there fall more than two equal straight lines to the circumference, that point is the centre. 10. **The angle at the centre of a circle is double of the angle at the circumference upon the same base.** 11. From a given circle, cut off a segment which shall contain an angle equal to a given rectilineal... | |
| 1844
...and two of the opposite angles of a four sided figure be equal, that figure is a parallelogram. 5. **The angle at the centre of a circle is double of the angle at the circumference,** when they stand on the same arc. 6. If the vertical angle of a triangle be bisected by a line, which... | |
| Euclid, James Thomson - 1845 - 382 páginas
...the centre : that is, the centre is in C A. Therefore, if a straight line, &c. PROP. XX. THEOR. — **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** In the circle ABC, let BEC be an angle at the centre, and BAC an angle at the circumference, which... | |
| Euclides - 1845 - 544 páginas
...the centre of the circle is in CA. Therefore, if a straight line, &c. QKI). PROPOSITION XX. THEOREM. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** Let ABC be a circle, and BEC an angle at the centre, and BAC an angle at the circumference, which have... | |
| Euclid - 1845 - 199 páginas
...centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOB. — **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** Let ABC be a circle, and BEC an angle at the centre, and BAC an angle at the circumference, which have... | |
| Euclides - 1846 - 292 páginas
...be the centre, that is, the centre is in CA. Wherefore, If a straight line %c. QED PROP. XX. THEOR. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** Let ABC be a circle, and BEC an angle at the centre, and BAC an angle at the circumference, which have... | |
| John Playfair - 1846 - 332 páginas
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. **The angle at the centre of a circle is double of the...circumference, upon the same base, that is, upon the** stme part of the cireumferB' Let ABC be a circle, and BDC an angle at the centre, and BAC an angle... | |
| |