| Euclides - 1860 - 288 páginas
...or EHC, which are at the opposite angles of the parallelograms which make the gnomon. _D—..E_ C H there be two straight lines, one of which is divided...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... | |
| Horatio Nelson Robinson - 1860 - 470 páginas
...( 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 parts of the divided... | |
| Euclides - 1862 - 172 páginas
...which are at the opposite angles of the parallelograms which make the Gnomon.' PROP. 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... | |
| University of Oxford - 1863 - 316 páginas
...of the parallelograms which are about the diameter of any parallelogram, are equal to each other. 7. If there be two straight lines, one of which is divided...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... | |
| Euclides - 1864 - 448 páginas
...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... | |
| Euclides - 1864 - 262 páginas
...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... | |
| Euclides - 1865 - 402 páginas
...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...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... | |
| Robert Potts - 1865 - 528 páginas
...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 of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several farts of... | |
| John Playfair - 1855 - 350 páginas
...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 - 1867 - 426 páginas
...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... | |
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