 | Edward Atkins - 1876 - 130 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...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... | |
 | D. Tierney - 1877 - 126 pages
...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 upon the same base, that is, upon the same part of the circumference. 6. If two... | |
 | Samuel H. Winter - 1877 - 452 pages
...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... | |
 | Civil service - 1878 - 228 pages
...section, is equal to the square on half the line. Find the greatest rectangle having a given perimeter. 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 part of the circumference. P is any point... | |
 | Āryabhaṭa - 1878 - 100 pages
...bisecting at right angles any straight line, taken within the circle. PROP. xxxvi. THEOREM. (E. 3. 20, 21). The angle at the centre of a circle is double of the angle at th» circumference standing upon the same arc, that is, upon tha same part of the circumference.... | |
 | Euclides - 1878 - 398 pages
...might be stated thus :—Every normal to a circle passes through the centre. PROPOSITION XX. THEOREM. The angle at the centre of a circle is double of the an<jle at the circumference, subtended by the same arc. Let ABC be a ©, 0 the centre, BC any arc,... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...is equal to the square on the straight line which is made up of the half and the part produced. 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 part of the circumference. 5. About a... | |
 | Edward Harri Mathews - 1879 - 94 pages
...points of contact are in a straight line with a fixed point in the circumference of the given circle. 3. The angle at the centre of a circle is double of the angle at the circumference on the same base. Two tangents AB, AC are drawn to a circle, D is any point on... | |
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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. 
