 | Euclides - 1862 - 172 Seiten
...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 —... | |
 | Euclides - 1865 - 402 Seiten
...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 —... | |
 | 1872 - 398 Seiten
...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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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... | |
 | Schools inquiry commission - 1868 - 682 Seiten
...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... | |
 | General Medical Council (Great Britain) - 1869 - 402 Seiten
...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... | |
 | Henry William Watson - 1871 - 320 Seiten
...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 Seiten
...might be stated thus '.—Every normal to tvrcU passes through the centre. PROPOSITION "KX. THEOREM. The angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. • Let ABC be a © , O the centre, BCany arc, A any pt.... | |
 | Euclides - 1872 - 102 Seiten
...touch the less, the parts intercepted between the two circles are equal. PEOPOSITION XX. THEOREM. Tfte angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. Let ABC be a ©, O the centre, j .0(7 any arc, A any pt.... | |
 | Euclid - 1872 - 284 Seiten
...that no other point without the right line AB, is the centre. PROPOSITION XX. THEOREM. The angle (ACD) at the centre of a circle, is double of the angle at the circumference, when they have the same part of the circumference for their base. Firstly — Let either... | |
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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. 
