 | 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 be a circle,... | |
 | 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 be a circle,... | |
 | John Playfair - 1842 - 332 Seiten
...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 angle at the circumference, upon the same base, that is, upon the' same part of the circumferB Let ABC be a circle,... | |
 | 1844 - 688 Seiten
...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... | |
 | 1844 - 456 Seiten
...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... | |
 | Euclides - 1845 - 546 Seiten
...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 angle at the circumference upon the same base, that is, upon the same part of the circumference. Let ABC be a circle,... | |
 | Euclid - 1845 - 218 Seiten
...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 angle at the circumference upon the same base, that is, upon the same part of the circumference. Let ABC be a circle,... | |
 | Euclid, James Thomson - 1845 - 382 Seiten
...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 angle at the circumference, upon the same base, that is, upon the same part of the circumference. In the circle... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...Cr. of ©ABC; ie the Cr. of 0, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3 E U . The angle at the centre of a circle is double of the angle at the circumference upon the same arc, that is, upon the same part of the cir-cumference. Fig. 1. Fig. 2.... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...Cr. of ©ABC; ie the Cr. of ©, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3Eu. The angle at the centre of a circle is double of the angle at the circumference upon the same arc, that is, upon the same part of the circumference. Fig. 1. A Fig. 2.... | |
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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 part of the circumference. 
