| D. Tierney - 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 upon the same base, that is, upon the same part of the circumference. 6. If two straight... | |
| 1878
...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
...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, James Hamblin Smith - 1878 - 349 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,... | |
| Oxford univ, exam. papers, 1st publ. exam - 1879
...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
...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... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1879
...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 - 266 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 - 400 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 - 1880
...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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