 | Euclides - 1858 - 248 pagina’s
...The learner is supposed to be familiar with most of them. PROP. 1. — THEOREM. If there be two st. lines, one of which is divided into any number of parts, the rectangle contained by the two st. lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
 | Euclides - 1858 - 136 pagina’s
...into tunj number of parts, the rectangle continued by the two st. lines is equal to tlie rectangles contained by the undivided line and the several parts of the divided line. Соя. V. 11. 3, 31, I. OEM. :UI, AT. Я. K». 1 Hjp. Concl. h...,ii n '., я. I MI ; .;. I. :» :J1.... | |
 | Robert Potts - 1860 - 380 pagina’s
...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... | |
 | Euclides - 1860 - 288 pagina’s
...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...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Given the two... | |
 | John Playfair - 1860 - 334 pagina’s
...&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 - 1860 - 470 pagina’s
...( 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 pagina’s
...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... | |
 | Euclides - 1862 - 140 pagina’s
...any number of parts, the rectangle contained by the tiro straight lin<!,< is equal to the rectangles contained by the undivided line, and the several parts of the divided line. , (References— Prop. I. 3, 11, 31, 34.) Hypothesis. — Let A and BC be two straight lines ; and... | |
 | University of Oxford - 1863 - 316 pagina’s
...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...contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. 8 If a straight... | |
 | Euclides - 1864 - 262 pagina’s
...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... | |
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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. 
