 | Euclides - 1864 - 448 pages
...circle is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOREM. The angle at the center of a circle is double of the angle at the circumference...that is, upon the same part of the circumference. Let ABC be a circle, and BEC an angle at the center, and BA C an angle at the circumference, which... | |
 | Euclides - 1864 - 262 pages
...circle is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOREM. The angle at the center of a circle is double of the angle at the circumference...that is, upon the same part of the circumference. Let ABCbe a circle, and BEC an angle at the center, and BA C an angle at the circumference, which have... | |
 | Euclides - 1865 - 402 pages
...drawn at right angles to the tonching line, the centre of the circle shall be in that line. Prop. 20. The angle at the centre of a circle is double of the...the same base, that is, upon the same part of the circnm ference. Prop. 21. The angles in the same segment of a circle are equal to one another. Prop.... | |
 | Robert Potts - 1865 - 528 pages
...circle is in CA. Therefore, if a straight line, &c. QED PROPOSIT1ON XX. THEOREM. The angle at the center of a circle is double of the angle at the circumference...that is, upon the same part of the circumference. Let ABC be a circle, and BEC an angle at the center, and BAC an angle at the circumference, which have... | |
 | 1872 - 398 pages
...proposition as Prop. C, where it is proved for the case of an angle not less than two right angles, that " the angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid, but essential to the proof of... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QED 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 the centre, and... | |
 | Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...centre ; therefore the centre is in CA. Wherefore, if a straight line &c. QED 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\i& a circle, and BEC an angle at the centre, and... | |
 | Schools inquiry commission - Education - 1868 - 682 pages
...two numbers diminished by twice their product. Prove this both geometrically and algebraically. 20 5. The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. 10 G. The exterior angle of a quadrilateral figure inscribed in a circle is equal to the interior and... | |
 | Schools inquiry commission - Education - 1868 - 532 pages
...twice their product. Prove this both geometrically and algebraically. 5. The angle at the centre of a ' a circle is double of the angle at the circumference...that is, upon the same part of the circumference. 6. The exterior angle of a quadrilateral figure inscribed in a circle is equal to the interior and... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base. 4. Divide x? + 11 x 3 + x 2 - 12 x 4- 12 by x 3 - x + 1 : and simplify / * . _L ---*LJt (1 + M \x -... | |
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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. 
