 | John Playfair - Euclid's Elements - 1842 - 332 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent...DF be the adjacent sides of the rectangle required. ยป First, the difference of their sides is equal to the diameter EF or AB ; secondly, the rectangle... | |
 | Geometry - 1843 - 376 pages
...be equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. ,Upon the given line AB as a diameter, describe a...the square C ; through the point D and the centre 0 draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required. For, first,... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent...DF be the adjacent sides of the rectangle required. First, the difference of their sides is equal to the diameter EF or AB ; secondly, the rectangle DE.DF... | |
 | Nathan Scholfield - 1845 - 894 pages
...be equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a semicircle;...rectangle required. For, first, the difference of these sides is equal to the diameter EF or AB ; secondly, the rectangle DE, DF, is equal to AD2 (Prop.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent...DF be the adjacent sides of the rectangle required. First, the difference of their sides is equal to the diameter EF or AB ; secondly, the rectangle DE.DF... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...be equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a semicircle...of the square C; through the point D and the centre 0 draw the secant DF; then will DE and DF be the adjacent sides of the rectangle required. For, first,... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent AD equal ta the side of the square C ; through the point D, and...will DE and DF be the adjacent sides of the rectangle leqaired. First, the difference of their sides is equal to the diameter EF or AB ; secondly, the rectangle... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...diameter, describe a circumference. At the extremity of the diameter, draw the tangent AD, and make it equal to the side of the square C; through the point D and the centre O draw the secant DOF, intersecting the circumference in E and F; then will DE and DF be the adjacent sides of the required... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent...the square C ; through the point D, and the centre 0, draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required. First,... | |
 | Charles Scott Venable - 1881 - 380 pages
...which shall be equal to a given line, AB. On the given line AB, as a diameter, describe a circle ; at the extremity of the diameter draw the tangent AD, equal to the side of the given square C ; through the point D and the centre O draw the secant DF ; DE and DF will be the adjacent... | |
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AB as a diameter, describe a semicircle : at the extremity of the diameter draw the tangent AD, equal to the side of the square C ; through the point D and the centre O draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required.... 
