| Euclides - 1881
...than the chord drawn at right angles to the diameter passing through that point. PROP. XX. THEOREM. **The angle at the centre of a circle is double of the angle at the** circumference standing upon the tame arc, that it, upon the same part oj the circumference. Let ABC... | |
| Mary W I. Shilleto
...one paper, but to make use of the whole set. Women (Pass). (a) EUCLID; (V) ALGEBKA; (c) MECHANICS. 1. **The angle at the centre of a circle is double of the angle at the** circumference, subtended by the same arc. If two straight lines AEB, CED in a circle intersect in E,... | |
| james maclehose and sons - 1883
...with the square on the line between the points of section, is equal to the square on half the line. 4. **The angle at the centre of a circle is double of the angle at the** circumference upon the same arc. 5. A straight line touches a circle and from the point of contact... | |
| Euclid, Isaac Todhunter - 1883 - 400 Seiten
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QBD PROPOSITION 20. THEOREM. **The angle at the centre of a circle is double of the angle at the** circumference on the same base, that is, on the same arc. Let ABC be a circle, and BEC an angle at... | |
| Woolwich roy. military acad - 1884
...produced backwards pass through the centre of the other, AB is equal to the radius of either circle. 6. **The angle at the centre of a circle is double of the angle at the** circumference on the same base, that is, on the same part of the circumference. ABC is an isosceles... | |
| Charles Leeson Prince - 1885 - 104 Seiten
...map. In proof of the truth of this construction let us refer to Euclid 3, XX., where we find that " **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." Hence the point... | |
| Dalhousie University - 1888
...of the equal sides is equal to the rectangle of the segments of the base. Prove for one figure. 4. **The angle at the centre of a circle is double of the angle at** thecircumference, standing on the same arc. Prove when the centre ia outside the angle at the circumference;,... | |
| E. J. Brooksmith - 1889
...both acute, and the angle DCB being greater than the angle ACB, show that DB is greater than AB. 6. **The angle at the centre of a circle is double of the angle at the** circumference on the same base, that is, on the same arc. On the base BC of a triangle ABC, which has... | |
| New Brunswick. Board of Education - 1889
...Describe an isosceles triangle having each of the angles at the base double of the third angle. 2. **The angle at the centre of a circle is double of the angle at the** circumference, subtended by the same arc. 3. If two isosceles triangles be of equal altitude, and the... | |
| Royal Military College, Sandhurst - 1890 - 132 Seiten
...nature of the contact, when the given straight line (i) falls without, (2) cuts the given circle ? 3. **The angle at the centre of a circle is double of the angle at the** circumference on the same base, ie on the same part of the circumference. If two straight lines AEB,... | |
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