 | John Playfair - Geometry - 1836 - 148 pages
...CA, is the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED B PROP. XII. 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... | |
 | Schoolmaster - 1836 - 926 pages
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be... | |
 | Education - 1836 - 502 pages
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...not in CA, is the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. 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. In the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...supposition is false, and .'. F is not the centre, 3. that the centre is in AC. PROPOSITION 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. Steps of... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...the point of contact — if a line fulfil two, it also fulfils the third. PROPOSITION 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 arc. arc BC for their base ; the angle... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...CA, is the centre ; that is, the centre is in CA. Therefore if a straight line, &c. QED D E 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... | |
 | Euclides - 1840 - 82 pages
...the point of contact perpendicular to the tangent, passes through the centre of the circle. PROP. XX. THEOR. The angle at the centre of a circle, is double of the angle at the circumference, standing on the same arch. PROP. XXI. THEOR. All angles in the same segment of... | |
 | Euclides - Geometry - 1841 - 378 pages
...in CA, is the centre; that is, the centre is in CA. Therefore, 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 in, upon the same part of the circumference. Let ABC... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...shewn, 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' same part of the circumferB Let ABC be... | |
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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 
