| 1833
...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 also known... | |
| Euclides - 1834
...that is, the centre is in ('A. Therefore, if a straight line, &c. y. ED PROPOSITION XX. TnEOR. — **The angle at the centre of a circle is double of the** See N. angle at the circumference upon the same base, thai is, upon the same pit rt of the circumference.... | |
| 1835
...magnitudes between one and two, two and three, three and four, &c. quadrants. PROP. 14. (Euc.iii. 20.) **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 А С В be... | |
| Schoolmaster - 1836
...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 also known... | |
| John Playfair - 1836 - 114 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 be a circle,... | |
| 1836
...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 also known... | |
| Euclides - 1837
...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 the Demonstration... | |
| Andrew Bell - 1837 - 240 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 BDC... | |
| Euclid - 1837 - 390 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 circle... | |
| Euclides - 1840
...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 a circle... | |
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