 | Euclides - 1884 - 434 pages
...the inscribed circle will be denoted by $a. PROPOSITION 9. PROBLEM. To circumscribe a circle about a given square. Let ABCD be the given square : it is required to circumscribe a circle about ABCD. Join AC, BD intersecting at 0. BA = DA In As BAC, DAC, AC = AC BC... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...quadrilateral ABED, and a circle may be described about it. PROPOSITION 9. To describe a circle about a given square. Let ABCD be the given square: it is required to describe a circle about it. CONSTRUCTION. Draw AC, BD intersecting at E; and with E as centre and EA, EB, EC or ED as... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...ABCD. .: the rectangle EFGH~ the square ABCD. Ex. 366. To construct a square equivalent to five-eighths of a given square. Let ABCD be the given square. It is required to construct a square equivalent to five-eighths of the square ABCD. D CONSTRUCTION. Divide BC into 8... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...triangle, the base will be bisected by the circumference. 28. Describe a circle whose circumference shall pass through one angle and touch two sides of a given square. 29. If two circles be described, one circumscribed about and the other inscribed in a right-angled... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...triangle, the base will be bisected by the circumference. 28. Describe a circle whose circumference shall pass through one angle and touch two sides of a given square. 20. If two circles be described, one circumscribed about and the other inscribed in a right-angled... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the sq. ABCD. QEF [For Exercises see p. 281.] PROPOSITION 9. PROBLEM. To circumscribe a circle about a given square. Let ABCD be the given square. It is required to circumscribe a circle about the square ABCD. Construction. Join AC, BD, intersecting at E. Proof. Then... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...inscribed in the sq. ABCD. QEF EUCLID S ELEMENTS. PROPOSITION 9. PROBLEM. To circumscribe a circle about a given square. Let ABCD be the given square. It is required to circumscribe a circle about the square ABCD. Construction. Join AC, BD, intersecting at E. Proof. Then... | |
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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... 
