 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...fame centre, their common icttion is a diameter of both, and therefore bifccb both. PROP. II. THE arch of a great circle between the pole and the circumference...circle is a quadrant. Let ABC be a great circle, and D its pole ; if a great circle CD pafc through D, and meet ABC in C, the arch DC is a quadrant. Let... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...For having the fame centre, their common fection is a diameter of each of them. PROP. II. THE arch of a great circle between the pole and the circumference of another great circle, is the fourth part of the circumference. Let ABC be a great circle, and D its pole ; and let the great... | |
 | John Playfair - 1819 - 354 pages
...by three arches of three great circles, each of which is less than a semicircle. PROP. II. Thf arch of a great circle, between the pole and the circumference...is a quadrant. .-. Let ABC be a great circle, and D its pole ; if DC, an arch of a great circle, pass through D, and meet ABC in C, the arch DC is a... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...than a semicircle. PROP. II. The arch of a great circle, between the pole and the circumference oj another great circle, is a quadrant. Let ABC be a great circle, and D its pole ; if DC, an arch of a great circle, pass through D, and meet ABC in C, the arch DC is a.... | |
 | William Jillard Hort - 1822 - 308 pages
...three arches of three great circles, each of which arches is less than a semi-circle. Theorem. The arch of a great circle between the pole and the circumference of another circle, is a quadrant. THE SCIENCES AND ARTS. D Let ABC be a great circle, and D its pole. Let the... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...equal ; and the figure is consequently a circle. PROPOSITION II. The arc of a great circle intercepted between the pole and the circumference of another great circle is a quadrant. Let D be the pole of the circle ABC, and AD С a great circle passing through D, then as AD С and ABC... | |
 | Alexander Ingram - Mathematics - 1830 - 458 pages
...quadrant. PROP. I. If a sphere be cut by a plane in any direction, the section will be a circle. PROP. II. The arc of a great circle, between the pole and the...circumference of another great circle, is a quadrant. Cor. 1. The straight line drawn from the pole of any great circle to the centre of the sphere, is at... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...their common section will be a diameter of each which will bisect them. PROP. II. FIG. 1. The arch of a great circle between the pole and the circumference...circle is a quadrant. Let ABC be a great circle, and D its pole : if DC, an arch of a great circle, pass through D, and meet ABC in C; the arch DC is a... | |
 | Euclid - 1835 - 540 pages
...their common section will be a diameter of each which will bisect them. PROP. II. FIG. 1. The arch, of a great circle between the pole and the circumference...circle is a quadrant. Let ABC be a great circle, and D its pole : if DC, an arch of a great circle, pass through D, and meet ABC in C ; the arch DC is a... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...by three arches of three great circles, each of which is less than a semicircle. PROP. II. The arch of a great circle, between the pole and the circumference of another great circle, is a quadrant. i Let ABCD be a great circle, and D its pole ; if DC, an arch of a circle, pass through D, and meet... | |
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CD is an arp, meet ABC again in A, and let AC be the common section of the planes of these great circles, which will pass through E, the centre of the sphere... 
