| Euclides - 1853 - 176 sider
...the opposite angles of the parallelograms which make the gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided...straight lines is equal to the rectangles contained by tlie undivided line, and the several parts of the divided line. LET a and b С be two straight lines... | |
| Euclid - 1853 - 176 sider
...point. If a line be cut in extreme and mean ratio. If a straight line be divided into three parts. If there be two straight lines, one of which is divided into any number of parts. If two straight lines be each of them divided into any number of parts. If two straight lines be taken.... | |
| William Somerville Orr - 1854 - 534 sider
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy number of parts, the rectangle contained by the two...contained by the undivided line and the several parts (BD, DE, &c.) of He divided line. From В draw В Г at right angles to В С,* andmakeBG=A. t Through... | |
| 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...undivided line and 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.... | |
| 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.... | |
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