| John Mason Good - 1819
...circumference, ili;ii is, to divide it into two equal parts. Prop. XXXI. Theor. In a circle, theanglein* **semicircle is a right angle; but the angle in a segment...less than a semicircle is greater than a right angle.** Prop. XXX IL Thcor. If a straight line touche» a circle, and from the point of contact a straight... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle ; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
| Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...(as ABC), in a segment greater than a semicircle, is less than a right angle; and an angle (as ADC), **in a segment less than a semicircle, is greater than a right angle. Let** E be the centre of the circle, join AE, and produce BA, as to F; and because, in the triangle EAB,... | |
| George Watson - Navigation - 1822 - 4 pages
...a semicircle is greater than a right angle. 197. An angle in a semicircle is a right angle. 199. An **angle in a segment greater than a semicircle is less than a right angle.** 200. An angle at the circumference of a circle is half the angle at the centre, standing on the same... | |
| Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...in D. PROP. XXXI; THEOR. The angle (BAC) in a semicircle, is a right angle; but an angle (as ABC), **in a segment greater than a semicircle, is less than a right angle ; and** an angle (as ADC), in a segment less them a semicircle, is greater than a right angle. Let E be the... | |
| Peter Nicholson - Architecture - 1823 - 596 pages
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an angle BAD, **in a segment greater than a semi-circle, is less than a right angle ; and** an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F,... | |
| James Mitchell - Mathematics - 1823 - 576 pages
...semi-circle, or standing upon a semi-circle or diameter. An ancle in a semi-circle, is a right-angle. An **angle in a segment, greater than a semi-circle, is less than a** right-angle. An angle in a segment, less than a semi-circle, is greater than a right-angle. ANGULAR,... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...; the angle in the semicircle ВАС is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
| George Lees - 1826
...VIII. THEOREM. . . i In a circle, the angle BAC in a semicirle is a right angle ; but, the angle ABC **in a segment greater than a semicircle, is less than a right angle ; and the angle** ADC, in, a segment, less than a semicirle, is greater than a right angle. Produce BA to F, takeE, the... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...eirele, the angle in a semieirele is a right angle ; but the angle in a segment greater than a semieirele **is less than a right angle ; and the angle in a segment less than a** semieirele is greater than a. right angle. Let ABCD be a eirele, of whieh the diameter is BC, and eentre... | |
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