 | D. Tierney - 1877 - 126 Seiten
...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 straight... | |
 | 1878 - 228 Seiten
...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 on the... | |
 | Āryabhaṭa - 1878 - 100 Seiten
...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. And... | |
 | Euclides - 1878 - 398 Seiten
...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 - 1879 - 414 Seiten
...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 given circle... | |
 | Edward Harri Mathews - 1879 - 94 Seiten
...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 the circumference... | |
 | University of Oxford - 1879 - 584 Seiten
...to one another, one on each side of the shortest line. 5. Inscribe a circle in a given triangle. 6. The angle at the centre of a circle is double of the angle at the circumference 011 the same base, that is, on the same arc. 7. Inscribe a circle in a given square.... | |
 | Isaac Sharpless - 1879 - 282 Seiten
...AKE, ABE are equal right-angled triangles; hence, AK is equal to AB. Proposition 16. 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 ABC be a circle,... | |
 | Isaac Todhunter - 1880 - 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 bate, that is, on the same arc. Let ABC be a circle, and BEC an angle at... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 Seiten
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 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. A triangle ABC is inscribed in a circle of... | |
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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. 
