 | Civil service - 366 Seiten
...one another, which do not both pass through the centre, they do not bisect each other. PROP. XX — 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.... | |
 | Euclides - 1860 - 288 Seiten
...the point of contact — if a line fulfil two, it also fulfils the third. PBOPOSITION 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 are. Given a circle ABC, and BDC... | |
 | Joseph Charles Parkinson - 1860 - 154 Seiten
...equal straight lines to the circumference, that point is the centre of the circle. 11 . PROP. XX. — 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. 12. PROP.... | |
 | John Paxton Hall - 1860 - 186 Seiten
...that which has the greater angle, shall be greater than the base of the other. BOOK III. PROP. 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. BOOK IV.... | |
 | Euclides - 1861 - 464 Seiten
...exact position ; but Dialling is now comparatively of little importance. PROP. 20. — ТНЕОЙ. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that a>, upon the same part of the circumference. CON. Pst.... | |
 | Euclides - 1862 - 172 Seiten
...Is, the centre of tlie circle IB in CA. Therefore, if a straight line, &c. QED PROP. 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 tlie same part of the circumference. (References... | |
 | Euclides - 1865 - 402 Seiten
...is, the centre of the circle is in CA. Therefore, if a straight line, &c. QED PROP. 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. (References... | |
 | 1872 - 398 Seiten
...proposition as Prop. C, where it is proved for the case of an angle not less than two right angles, that " the angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid, but essential... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QED PROPOSITION 20. THEOREM. The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. Let ABC\i& a circle, and BEC an angle... | |
 | Schools inquiry commission - 1868 - 682 Seiten
...two numbers diminished by twice their product. Prove this both geometrically and algebraically. 20 5. 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. 10 G. The... | |
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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. 
