 | 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 lines AEB, CED... | |
 | 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 proposition true, if... | |
 | 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 circle, the angle in... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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. PROF. XX., XXI. First,... | |
 | Euclides - 1853 - 146 pages
...5. The centre of the circle is in CA. Therefore, if a straight line, &e. QEU 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. Let ABC be a circle, and BEC... | |
 | University of Sydney - Universities and colleges - 1853 - 134 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 8. The angle at the centre of a circle is double of the angle at the circumference upon the same base. Prove this, and thence shew that the angle in a semi circle is a right angle. 9.... | |
 | Dugald Stewart - 1854 - 536 pages
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate that triangles... | |
 | Dugald Stewart - 1854 - 538 pages
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate that triangles... | |
 | 1854 - 834 pages
...by multiplying the halves of those I. líe ports on two quantities together? IU*tri'-t Model Prove that the angle at the centre of a circle is double of an angle at the cirSchooh. cumference on the same arc ? Show that the opposite angles of a quadrilateral... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...centre of the circle circumscribing the triangle ABC, we have OA=OB= ОС = the radius R : then, since the angle at the centre of a circle is double of the angle at the circumference upon the same base, we have, from Article (77), REGULAR POLYGONS. From this, it appears that the sine... | |
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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. 
