 | John Paxton Hall - 1860 - 186 sider
...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. PROP. 11. — To inscribe... | |
 | Civil service - 366 sider
...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. XXXVI If from any point... | |
 | Joseph Charles Parkinson - 1860 - 154 sider
...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. XXXI. — In a circle,... | |
 | Euclides - 1861 - 464 sider
...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. l & 2. DEM. Def. 15,... | |
 | Euclides - 1862 - 172 sider
...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 — Prop. i. 5,... | |
 | Euclides - 1865 - 402 sider
...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 — Prop. I. 5, 32.)... | |
 | 1872 - 398 sider
...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...at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid, but essential to the proof of VI. 24 (VI. 22 of Simson's... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...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 at the centre, and... | |
 | Schools inquiry commission - 1868 - 682 sider
...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 exterior angle of a... | |
 | General Medical Council (Great Britain) - 1869 - 402 sider
...line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base. 4. Divide x? + 11 x 3 + x 2 - 12 x 4- 12 by x 3 - x + 1 : and simplify / * . _L... | |
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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. 
