 | John Playfair - 1855 - 334 sider
...square described on a single one ; on a triple line nine times that on a single one, &c. PROP. I. THEOR. If there be two straight lines, one of which is divided...equal to the rectangles contained by the undivided liiie, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be... | |
 | Euclides - 1855 - 270 sider
...Bookl. and various other places, but particularly in this book. E С К. i H PROPOSITION I. THEOBEM. If there be two straight lines, one of which is divided...contained by the two straight lines, is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let A and B С... | |
 | Euclides - 1856 - 168 sider
...angle CAB; but CAD is a right angle, wherefore CAB is also a right angle. XLVIII.— EUCLID II. 1. If there be two straight lines one of which is divided...the several parts of the divided line. Let A and BC (Fig. 38) be two straight lines whereof BC is divided into parts by the points D, E, etc. The rectangle... | |
 | Cambridge univ, exam. papers - 1856 - 252 sider
...described upon the other two sides of it ; the angle contained by these two sides is a right angle. 6. If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. 7. To describe a square that shall be equal to a given rectilineal figure. 8. If two circles cut one... | |
 | W. Davis Haskoll - 1858 - 422 sider
...side subtending the right angle is equal to the square under the sides containing the right angle. 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... | |
 | Euclides - 1858 - 248 sider
...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 sider
...is divided 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.... | |
 | Euclides - 1860 - 288 sider
...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...undivided line, and the several parts of the divided line. Given the two straight lines A and BC, and let BC be divided into any parts in the points D, E ; to... | |
 | Robert Potts - 1860 - 380 sider
...sometimes " the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of one line and the several parts of the other respectively. The method of reasoning... | |
 | Horatio Nelson Robinson - 1860 - 470 sider
...( 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... | |
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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. 
