 | Euclides - 1864 - 262 páginas
...double of the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Let AB CD be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be... | |
 | University of Calcutta - 1864 - 388 páginas
...alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a circle are equal to one another. If two circles cut each other the line joining their centres bisects their common chord ; and the common... | |
 | Euclides - 1864 - 448 páginas
...double of the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. "LetABCD\ie a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall... | |
 | Euclides - 1865 - 402 páginas
...circumference upon the same base, that is, upon the same part of the circumference ........ III. 20. 2. The angles in the same segment of a circle are equal to one another. ........ m. 21. 3. The opposite angles of any quadrilateral figure inscribed in a circle, are together... | |
 | Robert Potts - 1865 - 528 páginas
...remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angle! in the same segment of a circle are equal to one another. Let A BCD be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be... | |
 | John Playfair - 1855 - 350 páginas
...therefore the remaining angle BDC is double of the remaining angle BAC. B PROP. XXI. THEOR. The angles m the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED : the angles BAD, BED are equal to one... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...double of the remaining angle BA C. Wherefore, the angle at the centre &c. QED PROPOSITION 21. THEOREM. The angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: the angles BAD, BED shall be equal... | |
 | Robert Potts - 1868 - 434 páginas
...of the remaining angle BA C. .. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Let AB CD be a circle, , and BAD, BED angles in the same segment BAED. ' Then the angles BAD, BED shall... | |
 | Edinburgh univ - 1868 - 336 páginas
...rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
 | James Maurice Wilson - 1868 - 150 páginas
...arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. 1. Angles in the same segment of a circle are equal to one another . . . . . . . . . .12 COR. i. If a circle is divided into any two segments by a chord, the angles in... | |
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The angles in the same segment of a circle are equal to one another. 
