 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...to AB, which is impossible : therefore the angle ACB is equal to DCE. THEOREM 34. 91. An angle, ACB, at the centre of a circle, is double of the angle at the circumference, upon the same arc, AB. Draw DC, (fig. I,) and produce it to E. First, let the angle... | |
 | 1857 - 408 pages
...more than two equal straight lines to the circumference, that point is the centre of the circle. 8. 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. 9. From a given... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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.... | |
 | 1858 - 398 pages
...which has the greater angle, shall be greater than the base of the other. BOOK III. 2. 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. 3. PROP.... | |
 | War office - 1858 - 578 pages
...amounts they respectively receive. Euclid. 1. Describe a square equal to a given rectilineal figure. 2. The angle at the centre of a circle is double of the angle at the circumference upon the same base. VOLUNTARY PORTION. 1. Define the sine of an angle ; trace the changes... | |
 | 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 angle at the circumference, upon the same base ; that is, upon the same are. Given a circle ABC, and BDC an angle... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...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.... | |
 | 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 angle at the circumference upon the same base, that is, upon the same part of the circumference. BOOK IV. PROP.... | |
 | 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 angle at the circumference upon the same base, that is, upon the same part of the circumference. ' PROP. XXXVI If... | |
 | 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.... | |
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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. 
