| 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 - 200 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 - 490 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 - 938 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
...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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