 | 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 :... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Henry Major - 1873 - 588 Seiten
...it may be shewn that no other point out of CA is the centre ; therefore the centre is in CA. 1TX — 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... | |
 | Edward Atkins - 1874 - 428 Seiten
...therefore the centre is in CA. Therefore, 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, upon the same base, that is, upon the same arc. Let ABC be a circle, and BEG... | |
 | Braithwaite Arnett - 1874 - 130 Seiten
...straight line which joins their centres, being produced, shall pass through the point of contact. 4. 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. AB and CD are two chords in a circle... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...converse of each of the above Propositions is evidently also true. PROP. XII.— THEOREM. (Euc. I. 20.) 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 AOB be an angle at the centre,... | |
 | Euclides - 1874 - 342 Seiten
...centre of the circle is in CA. Therefore, 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 upon the same base, that is, upon the same part of the circumference. Let A BC... | |
 | Francis Cuthbertson - 1874 - 400 Seiten
...off. An angle is said to stand upon the circumference intercepted between its arms. PROPOSITION XIII. The angle at the centre of a circle is double of the angfe at the circumference upon the same arc. Let AB be an arc of a © of which C is the centre, ACB... | |
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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. 
