| 1836 - 502 Seiten
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be... | |
| John Playfair - 1836 - 148 Seiten
...the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED B PROP. XII. 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... | |
| Schoolmaster - 1836 - 926 Seiten
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be... | |
| Andrew Bell - 1837 - 290 Seiten
...the point of contact — if a line fulfil two, it also fulfils the third. PROPOSITION XX. THEOREM. 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 arc. arc BC for their base ; the angle... | |
| Euclides - 1837 - 112 Seiten
...supposition is false, and .'. F is not the centre, 3. that the centre is in AC. PROPOSITION XX. Theorem. 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. Steps of... | |
| Euclid, James Thomson - 1837 - 410 Seiten
...CA, is the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. 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. In the... | |
| Euclides - 1840 - 82 Seiten
...of contact perpendicular to the tangent, passes through the centre of the circle. PROP. XX. THEOR. The angle at the centre of a circle, is double of the angle at the circumference, standing on the same arch. PROP. XXI. THEOR. All angles in the same segment of... | |
| Euclides - 1841 - 378 Seiten
...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 in, upon the same part of the circumference. Let ABC... | |
| Joseph Gwilt - 1842 - 1114 Seiten
...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... | |
| Euclides - 1842 - 316 Seiten
...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... | |
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