 | Sidney Herbert Wells - Machine design - 1900 - 202 pages
...the vertex of the triangle must be in this line. We now use the proof of Euclid iii., 20, which says "the angle at the centre of a circle is double the angle at the circumference on the same base," and we see that we ought to be able to draw a circle having AB for a chord, so that... | |
 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 190 pages
...that expressed by Fig. 62. Hence the scale of CAD, EBF is the same as that of arc CD, arc EF. (ii) An angle at the centre of a circle is double the angle at the circumference standing on the same arc. Hence the scale of two angles at the centre of the same or of equal circles... | |
 | 1901 - 488 pages
...them, and its continuation to meet a perpendicular on it from the opposite angle. 4. Prove that tihe angle at the centre of a circle is double the angle at the circumference standing on the same arc. 5. Construct an isosceles triangle having each base angle double the vertical... | |
 | Education - 1902 - 940 pages
...also meet in a second point *"• on the other side of the line, but in no other point. 7. Prove that the angle at the centre of a circle is double the angle at the circumference which stands on the same arc. 8. 8. Upon a given straight line describe a segment of a circle containing... | |
 | 1903 - 896 pages
...any two others, the one which subtends the greater angle at the centre is the greater. 4. Show that the angle at the centre of a circle is double the angle at the circumference, standing ou the same arc. ABCD is a quadrilateral inscribed in a circle. A and B are fixed points,... | |
 | Alfred Baker - Geometry - 1903 - 154 pages
...Similarly BCE is twice BDC. Therefore the sum (or difference, see second figure) ACB is twice ADB. That is, the angle at the centre of a circle is double the angle at the circumference which stands upon the same arc (here AB). The truth of this should be tested by describing a number... | |
 | Ontario. Legislative Assembly - Ontario - 1905 - 1104 pages
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. i The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite... | |
 | Sidney Herbert Wells - Machine design - 1905 - 246 pages
...the vertex of the triangle must be in this line. We now use the proof of Euclid iii., 20, which says "the angle at the centre of a circle is double the angle at the circumference on the same base," and we see that we ought to be able to draw a circle having AB for a chord, so that... | |
 | Queen's University (Kingston, Ont.) - 1906 - 314 pages
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite... | |
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The angle at the centre of a circle is double the angle at the circumference on the same arc. 
