 | John Playfair - Geometry - 1860 - 334 pages
...&c. • PROP. I. THEOR. If there be two straight lines, one of which is divided into any number oj 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... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...( AB+ CD) x EF. Hence the theorem ; the area of a trapezoid, etc. THEOREM XXXV. If one of two lines is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and tJ.c several... | |
 | Euclides - 1862 - 172 pages
...I.— THEOREM. If there be two straight lines, one of which is divided into any number of parts ; then 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. (References—... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...squares described on the sides which contain the right angle. 11. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. 12. Describe... | |
 | Euclides - 1864 - 262 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of tchich 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 BCbe... | |
 | Euclides - 1864 - 448 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be tico straight lines, one of irhich 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... | |
 | Robert Potts - 1865 - 528 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If tliere "be t3tto straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several farts of the divided line. Let A and JBC... | |
 | Euclides - 1865 - 402 pages
...contained? 2. Define a gnomon. PROPOSITIONS AND COROLLARIES. Prop. 1. If there be two straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Prop. 2. If... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points E, F, G, etc. ; then... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...parallelograms which make the gnomon. AE K DE PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the tiro sir-tight lines is equal to the rectangles contained by the undleided line, and the several parts... | |
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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. 
