 | Euclides - 1872 - 102 σελίδες
...the sq. ABCD. QEF Ex. 1. In what parallelograms can circles be inscribed ? PROPOSITION IX. PROBLEM. To describe a circle about a given square. Let ABCD...be the given square. It is required to describe a © about the square. Draw the diagonals AC, BD, intersecting each other in O. Then v L DAC= L ACD,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...squares on these four lines will be double of the square on the diameter. PROPOSITION IX. PROBLEM. To describe a circle about a given square. Let ABCD...be the given square. It is required to describe a © about the square. Draw the diagonals AC, BD, intersecting each other in O. Then v L DAC = L ACD,... | |
 | Euclides - 1874 - 342 σελίδες
...touches the circle, which therefore is inscribed in the square ABCD. QEF PROPOSITION 9. — Problem. To describe a circle about a given square. Let ABCD...square. It is required to describe a circle about ABCD. Construction. Join AC, BD, cutting one another in E. Proof. Because DA is equal to AB, and AC... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...right / s; .-. VY is rectangular. Hence VY is a square and it is described about the ©. PROBLEM 8. To describe a circle about a given square. Let ABCD...be the given square : it is required to describe a © about it. Draw the diagonals AC, BD intersecting in Q. With centre Q at the distance QA describe... | |
 | Robert Potts - 1876 - 446 σελίδες
...•and it is described about the circle ABCD. QEP 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, (1. 10.) and through... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...square has 'been described about the given circle. QEF PROPOSITION 8. PROBLEM. To inscribe a circle in a given square. Let ABCD be the given square : it is required to inscribe a circle in ABCD. Bibect each of the sides AH, AD at the points F, E ; [I. 10. through E draw... | |
 | Euclides - 1881 - 236 σελίδες
...pcrpenrtloular K- radiiM describe a circle, and it will be the circle required. PR 0 P. IX. PROBLEM. To detcribe a circle about a given square. Let ABCD be the given...square. It is required to describe a circle about it. Join AC and BD, cutting one another in E. With centre E, and distance EA describe the circle ABCD,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...square has been described about the given circle. QEF PROPOSITION 8. 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 at the points F, E ; [I. 10. through E draw... | |
 | Euclides - 1884 - 434 σελίδες
...then the radius of 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... | |
 | John Harris - 1884 - 188 σελίδες
...XXVI. (B). PROBLEM. Within a given square to describe a square ichose arca equals half the area of the given square. Let ABCD be the given square. It is required to describe within ABCD a square of one-half the area. Bisect the side AB of the given square in/, and on fB describe... | |
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To inscribe a circle in a given square. Let ABCD be the given square ; it is required to inscribe a circle in ABCD. 
