| Euclid, John Keill - Geometry - 1723 - 364 pages
...fhall be equal to the Circumference B D. Therefore a given Circumference is cut into two equal Parts ; **which was to be done. PROPROPOSITION. XXXI, THEOREM....Circle, the Angle that is in a Semicircle, is a Right** jingle ; but the Angle in a greater Segment, is left ' than a Right Angle ; and the Angle in a leffer... | |
| John Keill - Geometry - 1782 - 399 pages
...Therefore, a given Circumference is cut into two ejttal Parts ; which was to be done. PRO. PROPOSITION **XXXI. THEOREM. In a Circle, the Angle that is in a...Segment is lefs than a Right Angle ; and the Angle in a** le/er Segment, greater than a Right Angle : Moreover, the Ang'e cf a greater Segment is greater than... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...circumference is bisected in D. Which was to be clone. C PROP. XXXI. THEOR. IN a circle, the angle **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle is less than a right angle ; and the angle in a segment less than... | |
| John Mason Good - 1813
...circumference, that is, to divide it into two equal parts. Prop. XXXI. Theor. In a circle, the angle **in a semicircle is a right angle; but the angle in a** segment greater than a semicircle is less than a right angle; and the angle in a segment less than... | |
| Euclides - 1816 - 528 pages
...given circumference is bisected in D. Which was to be done. PROP. XXXI. THEOR. IN a circle, the angle **in a semicircle is a right angle; but the angle in a** segment greater than a semicircle is less than a right angle ; and the angle in a segment less than... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...the given arch ADB is bisected in D. Which was to be done. PROP. XXXI. THEOR. hi a circle, the angle **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle is less than a right angle ; and the angle in a segment less than... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...circumference is bisected in D. Which was to be done. Proposition XXXI. Theorem. In a circle, the angle **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle, is less than a right angle ; and the angle in a segment less than... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...given circumference is bisected in D. Which was to be done. PROP. XXXI. THEOR. In a circle, the angle **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle is less than a right angle ; and the angle in a segment less than... | |
| Euclid - 1835 - 513 pages
...is bisected in D. Which was to be done. Book III. PROP. XXXI. THEOR. ^ /— ' In a circle, the angle **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle is less than a right angle ; and the angle in a segment less than... | |
| John Playfair - Geometry - 1836 - 114 pages
...given circumference is bisected in D. Which was to be done. PROP. XXII. THEOR. In a circle, the angles **in a semicircle is a right angle ; but the angle in a** segment greater than a semicircle is less than a right angle; and the angle in a segment less than... | |
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