| John Playfair - 1855 - 336 páginas
...no other point which is not in CA, is the centre ; that is, the centre is in CA. B PROP. XX. THEOR **The angle at the centre of a circle is double of the angle at the** circumjerence, upon the same base, that is, upon the same part of the circumfer ence. Let ABC be a... | |
| Euclides - 1856
...therefore the square of EH is less than the square of EK, and the line EH than E K. LIX.— EUCLID III. 20. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** Let ABC (Fig. 47) be a circle, BEC an angle at the centre, and BAC an angle at the circumference, having... | |
| Cambridge univ, exam. papers - 1856
...line from a given point, either without or in the circumference, which shall touch a given circle. 11. **The angle at the centre of a circle is double of the...that is, upon the same part of the circumference.** EUCLID. BOOKS I. II. III.— (A.) For all Candidates for a BA Degree. 1. WHAT is meant by an axiom... | |
| Peter Nicholson - 1856 - 216 páginas
...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 at the centre be within the angle... | |
| John Playfair - 1856 - 318 páginas
...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** th» circumference, upon the same base, that is, upon the same part of the circumfer ence. Let ABC... | |
| 1857 - 408 páginas
...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...that is, upon the same part of the circumference.** 9. From a given circle to cut off a segment, which shall contain an angle equal to a given rectilineal... | |
| 1858
...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...base, that is upon the same part of the circumference.** BOOK IV. 3. PROP. 11 — To inscribe an equilateral and equiangular pentagon in a given circle. BOOK... | |
| War office - 1858 - 12 páginas
...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 in the sign and magnitude of... | |
| Great Britain. Parliament. House of Commons - 1858 - 690 páginas
...another, which do not both pass through the centre, they do not bisect each other. 9. PROP. XX. — **The angle at the centre of a circle is double of the angle at the circumference upon** thai same base, that is, upon the same part of the circumference. 10. PROP. XXXVI. — If from any... | |
| Joseph Charles Parkinson - 1860
...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...that is, upon the same part of the circumference.** 12. PROP. XXXI. — In a circle, the angle in a semicircle is a right angle; but the angle in a segment... | |
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