 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Cr. of ©ABC; ie the Cr. of 0, is in CA. Therefore, if a str. line, &c. PROP. LV. THEOR. 20. 3 E U . The angle at the centre of a circle is double of the angle at the circumference upon the same arc, that is, upon the same part of the cir-cumference. Fig. 1.... | |
 | Euclides - 1848 - 52 pages
...right angles to the touching line, the centre of the circle shall be in that line. PROP. XX. THEOREM. 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. PROP. XXI.... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...circle to the middle point of any chord in the circle, is perpendicular to that chord. 2. Show that the angle at the centre of a circle is double of the angle at the circumference upon the same base. 3. If two straight lines cut one another within a circle,... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...base and the straight line intercepted between the perpendicular and the obtuse angle. ^Section 2. 1. The angle at the centre of a circle is double of the angle at the circumference. 3. If two straight lines cut one another in a circle, the rectangle of the segments... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...to one another. Shew that all equal straight lines in a circle will be touched by another circle. 5. 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. If two straight... | |
 | 1851 - 382 pages
...of a given circle, 3. Prove that the diameter of a circle is the greatest chord, .... 4. Prove that the angle at the centre of a circle is double of the angle at the circumference, upon the same base, .... 5. Explain how the height of an inaceessibl object may... | |
 | 582 pages
...ol two unequal lines, 13 equal to the rectangle contained by their sum and difference. SECTION III. 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. Is this... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...extremity of a diameter at right angles to it, each will be a tangent to the second circle. 1848. (A), 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, (in. 20.)... | |
 | Charles Astor Bristed - 1852 - 470 pages
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. 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. 5. In a... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...is the centre; that is, the centre is in CA. Therefore, if a straight line, etc. QED PROPOSITION XX. THEOR. 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. BOOK III.... | |
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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 
