 | Euclides - 1846 - 292 Seiten
...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,... | |
 | Euclid, John Playfair - 1846 - 334 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 - 272 Seiten
...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 - 52 Seiten
...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 - 790 Seiten
...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 - 912 Seiten
...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 - 382 Seiten
...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 James Jameson - 1851 - 144 Seiten
...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).... | |
 | 582 Seiten
...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 - 196 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... | |
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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. 
