| Euclides - 1846
...be the centre, that is, the centre is in CA. Wherefore, If a straight line %c. QED PROP. XX. THEOR. **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,... | |
| John Playfair - 1846 - 317 Seiten
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. **The angle at the centre of a circle is double of the angle at the** circumference, upon the same base, that is, upon the stme part of the cireumferB' Let ABC be a circle,... | |
| Euclides - 1846
...that no other point without the right line AB, is the centre. PROPOSITION XX. THEOREM. The angle (ACD) **at the centre of a circle, is double of the angle at the** circumference, when they have the same part of the circumference for their base. Firstly — Let either... | |
| Euclides - 1848
...right angles to the touching line, the centre of the circle shall be in that line. PROP. XX. 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. PROP. XXI. THEOREM.... | |
| Great Britain. Committee on Education - 1850
...circle to the middle point of any chord in the circle, is perpendicular to that chord. 2. Show that **the angle at the centre of a circle is double of the angle at the** circumference upon the same base. 3. If two straight lines cut one another within a circle, the rectangle... | |
| Her MAjesty' Inspectors of schools - 1850
...base and the straight line intercepted between the perpendicular and the obtuse angle. ^Section 2. 1. **The angle at the centre of a circle is double of the angle at the** circumference. 3. If two straight lines cut one another in a circle, the rectangle of the segments... | |
| 1851
...of a given circle, 3. Prove that the diameter of a circle is the greatest chord, .... 4. Prove that **the angle at the centre of a circle is double of the angle at the** circumference, upon the same base, .... 5. Explain how the height of an inaceessibl object may be determined,... | |
| FRANCIS J. JAMESON - 1851
...extremity of a diameter at right angles to it, each will be a tangent to the second circle. 1848. (A), **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, (in. 20.) (E).... | |
| ...ol two unequal lines, 13 equal to the rectangle contained by their sum and difference. SECTION III. **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. Is this proposition... | |
| Harvey Goodwin - 1851 - 173 Seiten
...to one another. Shew that all equal straight lines in a circle will be touched by another circle. 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. If two straight... | |
| |