 | Great Britain. Admiralty - 1846 - 128 pages
...Cr. of ©ABC; ie the Cr. of ©, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3Eu. The angle at the centre of a circle is double of the angle at the circumference upon the same arc, that is, upon the same part of the circumference. Fig. 1. A Fig. 2. F*> BC 1st. Let Cr. E be within... | |
 | Great Britain. Admiralty - 1846 - 128 pages
...Cr. of ©ABC; ie the Cr. of 0, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3 E U . The angle at the centre of a circle is double of the angle at the circumference upon the same arc, that is, upon the same part of the cir-cumference. Fig. 1. Fig. 2. 1st. Let Cr. E be within the... | |
 | Euclides - 1846 - 272 pages
...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 leg of the... | |
 | Great Britain. Committee on Education - 1847 - 708 pages
...extremities 36° 20' and 60° Iff ; required the perpendicular height of the triangle. 6. The arigleat the centre of a circle is double of the angle at the circumference, standing on the same arc of the circumference. 7. The three sides of a triangle arc 17, 25, and 28... | |
 | Euclides - 1848 - 52 pages
...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...that is, upon the same part of the circumference. PROP. XXI. THEOREM. The angles in the same segment of a circle are equal to one another. PROP. XXII.... | |
 | John Playfair - 1849 - 332 pages
...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...the same base, that is, upon the same part of the circumferB E Let ABC be a circle, and BDC an angle at the centre, and BAC an angle at the circumference... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...centre is in CA. Therefore if a straight line, &c. QED PROP. XX. THEOB. The angle at the centre of the circle is double of the angle at the circumference,...that is, upon the same part of the circumference. Let AB'C be a circle, and BEC an angle at the centre, and BAG an angle at the circumference, which... | |
 | Great Britain. Committee on Education - 1850 - 790 pages
...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 contained by the segments of... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...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 of the one is equal... | |
 | Harvey Goodwin - 1851 - 196 pages
...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...that is, upon the same part of the circumference. If two straight lines AEB, CED in a circle intersect in E, the angles subtended by AC and BD at the... | |
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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. 
