 | 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... | |
 | Euclides - 1865 - 402 pages
...Define a rectangle. By what is it contained? 2. Define a gnomon. PROPOSITIONS AND COROLLARIES. Prop. 1. If there be two straight lines, one of which is divided...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... | |
 | Robert Potts - 1865 - 528 pages
...opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If tliere "be t3tto straight lines, one of which is divided into any number...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... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...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.... | |
 | John Playfair - Geometry - 1855 - 350 pages
...may also, for the sake of 4 brevity, be called the gnomon AGK •or EHC." JJ DEC PROP. I. THEOR. I/ there be two straight lines, one of which is divided into any number ej parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...at the opposite angles of the parallelograms which make the gnomon. AE K DE PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...rectangle contained by the tiro sti'iiighi lines is equal to the rectangles contained by the uiulieided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any number of parts at the points D, E : the... | |
 | Robert Potts - 1868 - 434 pages
...which are at the opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided...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... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...to £ (AB+CD)xEF. 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 the several... | |
 | Edinburgh univ - 1871 - 392 pages
...described upon the other two sides of it; the angle contained by these two sides is a right angle. 3. If there be two straight lines, one of which is divided...number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
| |
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. 
