 | Euclid - Geometry - 1810 - 554 pages
...the rectangles contained by the undivided tine, and the parts of the divided line. K H Book H. Lijt A and BC be two straight lines; and let BC be divided ILJ~V~«_I into any parts in the points D, E ; the rectangle contained by the straight lines A, BC... | |
 | John Mason Good - 1813 - 714 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the... | |
 | Euclides - 1814 - 560 pages
...parts of the divided line. Boox II. Let A and EC be two straight lines ; and let BC be di**~v~^ vided into any parts in the points D, E ; the rectangle contained by the straight lines A, TO DEC •1i.i. From the point B draw a G BC is equal to the rectangle contained by A,BD, together... | |
 | Euclides - 1816 - 588 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. BouK II. Let A and BC be two straight lines ; and let BC be di-^ " vided into any parts in the points... | |
 | John Playfair - 1819 - 354 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles' contained...into any parts in the points D, E ; the rectangle A.BC is equal to the several rectangles A.BD, A.DE, A.EC. From the point B draw (11. 1.) BF at right... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line, and the several parts of the divided line. • */ -i Let A and BC be two straight lines ; and let BC be divided into any parts in the points D,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is, equal to the rectangles contained...parts in the points D, E; the rectangle contained by * G the straight lines A, BC is equal to B the rectangle contained by A, BD, together with that contained... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained...the rectangle contained by the straight lines A, BC is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight lines is equal to the reetangles eontained by the undivided line, and the several partsof the divided line. Let A and BC be two straight lines...be divided into any parts in the points D, E ; the reetangle A.BC is equal to the several reetangles A.BD, A.DE, A.EC. From the point B draw (11.1.) BF... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...PROPOSITION IV. THEOREM. If there be two straight lines of which one is divided into parts, the sum of the rectangles contained by the undivided line, and the several parts of the other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of... | |
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If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let... 
