 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 A and BC be...  Pure mathematics - Page 233by Edward Atkins - 1874Full view - About this book
 | Euclides - 1816 - 588 pages
...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. 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
...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...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
...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. • */ -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
...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...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
...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...; 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...divided into any number of parts; the rectangle contained by the 1wo straight lines, is equal to the rectangles contained by the undivided line, and the...: the rectangle contained by the straight lines A, BC shall be equal to the rectangle contained by A, BD, together with that contained by A, DE, and that... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...rectangle contained by the two lines is equal to the sum of the rectangles cont.tined by ,the whole line and the several parts of the divided line. Let...divided into any parts in the points D, E; the rectangle A.BC is equal to the sum of the several rectangles A.BD, A.DE, A.EC, or A.BC = Am + A.DE + A.EC. From... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of the rectangles contained by the undivided line, and the several parts of the tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
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