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. Let... Elements of Plane Geometry - Page 63by Thomas Hunter - 1878 - 132 pagesFull view - About this book
| Euclides - 1816 - 588 pages
...' which are at the opposite angles of the parallelograms ' which makes the gnomon.' PROP. I. THEOR. 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... | |
| John Playfair - 1819 - 354 pages
...may also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." DEC PROP. I. THEOR. . . 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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." A E. K G PROP. I. THEOR. ff 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...the opposite angles of the Б Q с parallelograms which make the gnomon.' Propoñlion. 7. Theorem» 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... | |
| Euclid - 1826 - 234 pages
...angles of the parallelograms, which make the gnomon. PROPOSITION I. THEOREM. If tliere be two right lines, one of which is divided into any number of parts, the rectangle comprehended under the whole and divided line, is equal to the rectangles contained under the whole... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...EHC, which are at the opposite angles ' of the parallelograms which make the gnomon'. PROP. I. THEOR. If there be two straight lines, one of which is divided...any number of parts; the rectangle contained by the 1wo straight lines, is equal to the rectangles contained by the undivided line, and the several parts... | |
| George Darley - Geometry - 1828 - 190 pages
...upon right lines, one foot, one yard, &c. &c. in length respectively. ART. 89. " If there be two right lines, one. of which is divided into any number of parts, the rectangle under the two lines is equal to the sum of the rectangles under the undivided line and the several... | |
| John Playfair - Geometry - 1829 - 210 pages
...first, then 2y = s — d, ,-.y — £ (s — d), which is the second part. PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of pans, the rectangle contained by the two lines is equal to the sum of the rectangles cont.tined by... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...also, " for the sake of brevity, be Jj fj. Q " called the gnomon AGK or "EEC." AE DEC PROP. I. THEOR. If there be two straight lines, one of which is divided...into any number of parts ; the rectangle contained by tlte two straight lines is equal to the rectangles contained by the undivided line, and the several... | |
| Euclides - 1833 - 304 pages
...EGF. END OF FIRST BOOK. THE SECOND BOOK, IN GENERAL TERMS. PROPOSITION 1. THEOR. If there be two right lines, one of which is divided into any number of parts, the rectangle under the two linns is equal to the sum of the rectangles under the undivided line and the several... | |
| |