 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...Therefore the angle at the centre, &c. ÇKE. D. B PROP. XXI. THEO R. ""THE angles in the fame fegment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment BAED : The angles BAD, BED are equal to one another.... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...Therefore the angle at the centre, &.c. Q..ED PROP. XXI. THEO R. r ~|~'HE angles in the fame fegment of a circle are •*- equal to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment BAED : The angles BAD, BED are equal to one another.... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...the.figure contained by a diameter and the part of the circumference cut off by the diameter. XIX. " A segment of a circle is the figure contained by a straight line " and the circumference it cuts off." XX. Rectilineal figures are those which are contained by straight lines. ,-.- --- XXI. i Trilateral... | |
 | Richard Watson (bp. of Llandaff.) - 1808 - 156 pages
...you here seem to confound it. We know that the whole is greater than its part; and we know that all the angles in the same segment of a circle are equal to each other—we have intuition and demonstration as grounds of this knowledge; but, is there no ground... | |
 | Euclid - Geometry - 1810 - 554 pages
...figure contained by a diameter and the part of the circumference cut off by that diameter. XIX. " A segment of a circle is the figure contained by a straight line, " and the circumference it cuts off." XX. Rectilineal figures are those which are contained by straight lines. XXI. Trilateral figures, or... | |
 | John Mason Good - 1813 - 714 pages
...straight line on which the greater perpendicular falls, is said to be farther from thd centre. 6. A segment of a circle is the figure contained by a straight line and the circumference it cuts off. 7. The angle of a segment is that wluch i» contained by the straight line and the circumferеьсе.... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...especially at the beginning of the Elements. The alterations 1 would propose are as follow: Def. 18. A segment of a circle is the figure contained by a straight line, and the circumference it cuts off. 19. If the straight line be a diameter, the segment is called a semi-circle. From the 20th to the 29th... | |
 | Euclides - 1814 - 560 pages
...greater perpendicular falls, is said to be further from the centre. y- . \ Boox III. VI. v- "v~^ A segment of .a circle is the figure contained by a straight line and the circumference it cuts off. . .~"' VII. .. " The angle of a segment is that which is contained by the " straight line and the circumference."... | |
 | Charles Butler - 1814 - 582 pages
...especially at the beginning of the Elements. The alterations I would propose »re as llow: Ikf. 18. A segment of a circle is the figure contained by a straight line, nil the circumference it cuts off. 19- If the straight line be a diameter, the segment is called a... | |
 | Richard Watson - Apologetics - 1816 - 506 pages
...you here seem to confound it. We know that the whole is greater than its part— and we know that all the angles in the same segment of a circle are equal to each other—we have intuition and demonstration as grounds of this knowledge ; but is there no ground... | |
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segment of a circle is the figure contained by a straight line and the circumference it cuts off. PROPOSITION 21. THEOREM. The angles in the same segment of a circle are equal to one another. Let ABCD be a 0, and BAD, BED LS in the same segment BAED;... 
