 | John Perry - Mathematics - 1899 - 138 pages
...until the student has illustrated their truth by actual measurement. Prove that the angle at the centre is double the angle at the circumference when they...the same part of the circumference for their base, and that angles in the same segment are equal. The angle in a semicircle is a right angle. Also that... | |
 | 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 - 942 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 - 898 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... | |
 | 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... | |
 | Ontario. Legislative Assembly - Ontario - 1905 - 1096 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... | |
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The angle at the centre of a circle is double the angle at the circumference on the same arc. 
