| Euclides - 1864 - 448 páginas
...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 ABC be a circle, and BEC an angle at the center, and BA C an angle at the circumference, which... | |
| Euclides - 1864 - 262 páginas
...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 BA C an angle at the circumference, which have... | |
| Euclides - 1865 - 402 páginas
...drawn at right angles to the tonching line, the centre of the circle shall be in that line. Prop. 20. **The angle at the centre of a circle is double of the...the same base, that is, upon the same part of the** circnm ference. Prop. 21. The angles in the same segment of a circle are equal to one another. Prop.... | |
| 1872
...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 to the proof of... | |
| Euclid, Isaac Todhunter - 1867 - 424 páginas
...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 be a circle, and BEC an angle at the centre, and... | |
| Euclid, Isaac Todhunter - 1867 - 426 páginas
...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
...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...that is, upon the same part of the circumference.** 10 G. The exterior angle of a quadrilateral figure inscribed in a circle is equal to the interior and... | |
| Schools inquiry commission - 1868
...twice their product. Prove this both geometrically and algebraically. 5. The angle at the centre of a ' **a circle is double of the angle at the circumference...that is, upon the same part of the circumference.** 6. The exterior angle of a quadrilateral figure inscribed in a circle is equal to the interior and... | |
| General Medical Council (Great Britain) - 1869
...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 ---*LJt (1 + M \x -... | |
| Henry William Watson - 1871 - 285 páginas
...whatever, ie. whether greater or less than two right angles (Bk. II. Note, p. 74). Corollary 1. — Since **the angle at the centre of a circle is double of the angle at the circumference** subtended by the same arc, and since magnitudes have to one another the same ratio that their equimultiples... | |
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