 | Euclides - 1838 - 264 pages
...inscribed iu the square ABCD. Which \v.-is to be done. PROP. IX. PROS. To describe a circle about a gieen square. Let ABCD be the given square ; it is required to describe a circle about ABCD. Join AC, BD, cutting one another in E : then if with E as centre, and EA as distance, a... | |
 | Euclides - Geometry - 1841 - 378 pages
...1. described about the circle ABCD. Which was to be done. PROP. VIII. PROB. To inscribe a circle in a given square. Let ABCD be the given square; it is required to inscribe a circle in ABCD. * 10. 1. Bisect* each of the sides AB, AD, in the points F, E, * 31. 1.... | |
 | Euclides - 1842 - 316 pages
...square ; and it is described about the circle A BCD. QEF PROP. VIII. PEOB. To inscribe a circle in a given square. Let ABCD be the given square : it is required to inscribe in it a circle. Bisect (10. 1.) each of the sides AB, AD, in the points F, E, and through... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...is a square ; and it is described about the circle ABCD. PROP. VIII. PROS. To inscribe a circle in a given square. Let ABCD be the given square ; it is required to inscribe a circle in ABCD. Bisect (10. 1.) each of the sides AB, AD, in the points F, E, and through... | |
 | Euclid - Geometry - 1845 - 218 pages
...described about the circle ABCD. Which was to be done. PROPOSITION VIII. PROB. — To inscribe a circle in a given square. Let ABCD be the given square ; it is required to inscribe a circle in ABCD. • 10. i. Bisect* each of the sides AB, AD in the points F, E, t si. i.... | |
 | Euclides - 1845 - 546 pages
...and it is described about the circle ABCD, QKF PROPOSITION VIII. PROBLEM.) To inscribe a circle in a given square. Let ABCD be the given square. It is required to inscribe a circle in ABCD. Bisect each of the sides AB, AD in the points F, E, (i. 10.) and through... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...square described about the circle : which was to be done. PROP. VIII. PROR. — To incribe a circle in a given square. Let ABCD be the given square; it is required to inscribe a circle in it. A r Find (IV. A, cor.) the centre E of the inscribed circle, and draw (I.... | |
 | Euclides - 1846 - 292 pages
...middle of a side, (ii) in one angle. 33. Inscribe the least possible square in a given square. 34. Describe a circle which shall pass through one angle and touch two sides of a given square. 36. In the figure (4. 10), shew that AC is the side of a regular decagon inscribed in the larger circle,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...square ; and it is described about the circle ABCD. B B D PROP. VIII. PROB. To inscribe a circle in a given square. Let ABCD be the given square ; it is required to inscribe a circle in ABCD. Bisect (10. 1.) each of the sides AB, AD, in the points F, E, and through... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...(34. I.) is likewise a right angle: EUCLID 8 ELEMENTS. PROPOSITION VIII. PROB. To inscribe a circle in a given square. Let ABCD be the given square ; it is required to inscribe a circle in ABCD. Bisect (10. i.) each of the sides AB, AD in the points F, E, and through... | |
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EH parallel to AB or DC, and through F draw FK parallel to AD or BC ; therefore each of the figures, AK, KB, AH, HD, AG, GC, BG... 
