 | Civil service - 366 pages
...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...that is, upon the same part of the circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the... | |
 | John Paxton Hall - 1860 - 186 pages
...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...that is, upon the same part of the circumference. BOOK IV. PROP. 11. — To inscribe an equilateral and equiangular pentagon in a given circle. BOOK... | |
 | Euclides - 1860 - 288 pages
...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...circumference, upon the same base ; that is, upon the same are. Given a circle ABC, and BDC an angle at its centre, and BAC an angle at its circumference, which... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...circle is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOREM. The angle at the center of a circle is double of the angle at the circumference...that is, upon the same part of the circumference. Let ABCbe a circle, and BEC an angle at the center, and BAC an angle at the circumference, which have... | |
 | Euclides - 1861 - 464 pages
...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, I. 5, t 32, I. In every... | |
 | War office - 1861 - 260 pages
...turning a recurring decimal into a vulgar fraction. 7. The angle at the centre of a circle is double the angle at the circumference upon the same base, that is upon the same part of the circumference. 8. In a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...postulates, repetitions, &c.). 23. Euc. III. Prop. XX. — The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. In the triangle ADC, the side AD equals DC, therefore, as equal sides are opposite to equal angles... | |
 | Euclides - 1862 - 140 pages
...centre is in CA. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 20.— THEOREM. The angle at the centre of a circle is double of the...circumference, upon the same base; that is, upon the same arc. (References— Prop. I. 5, 32.) Hypothesis. — Let ABC be a circle, and BEC an angle at the centre,... | |
 | Euclides - 1862 - 172 pages
...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...the circumference upon the same base, that is, upon tlie same part of the circumference. (References — Prop. i. 5, 32.) Let ABC be a circle, and EEC... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...postulates, repetitions, &c.) *27. Euc. III. Prop. XX.— The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. GEOMETRICAL THEOREMS. EDA equals DAG and DCA together ; let ACB and ADB be two angles standing upon... | |
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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. 
