 | 1881 - 504 Seiten
...distant from the centre ; and of two unequal chords the greater is nearer to the centre than the less. 8. 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. Euclid only proves... | |
 | Euclides - 1881 - 236 Seiten
...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 - 1882 - 418 Seiten
...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,... | |
 | University of Glasgow - 1883 - 438 Seiten
...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 - 428 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 - 148 Seiten
...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 - 126 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 - 212 Seiten
...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 - 356 Seiten
...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 - 1004 Seiten
...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... | |
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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. 
