| Henry Major - 1873
...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 at... | |
| James Bryce - 1874
...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, and APB... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...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 be a circle,... | |
| 1874
...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 an angle... | |
| 1874
...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 which... | |
| 1874
...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... | |
| Francis Cuthbertson (geometer.) - 1876
...QEF ANGLES IN CIRCLES. DEFINITION. An arc of a circle is a part of the circumference. PROPOSITION V. **The angle at the centre of a circle is double of the angle at the** circumference upon the same arc. Let AB be an arc of a circle of which C is the centre, ACB the angle... | |
| Robert Potts - 1876 - 403 Seiten
...drawn through it, the tangents to the circles from any point in this perpendicular may be equal. >. **The angle at the centre of a circle is double of the angle at the** circumference npon the same base, that is, npon the same part of the circumference. If n circle be... | |
| Edward Atkins - 1876
...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. Lot ABC be a circle, and BEC an angle... | |
| Samuel H. Winter - 1877
...is equal to the square on the straight line which is made up of the half and the part produced. 5. **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. 6. If two straight lines cut one another within... | |
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