| George Darley - Geometry - 1828 - 169 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 - 186 pages
...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... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...divided into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of **the rectangles contained by the undivided line, and the several parts of the** tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...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
...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... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...for the ' sake of brevity, be called the gno' mon AGK or EHC." A. E H I PROP. I. THEOR. If there be **two straight lines, one of which is divided into any...the rectangle contained by the two straight lines is** equ2l to the rectangles contained by the undivided line, and the several parts of the divided line.... | |
| Mathematics - 1835
...miles. SECTION 5. Rectangles under the par Is of divided lines. PROP. 30. (Eue. ii. 1.) If there be **two straight lines, one of which is divided into any...number of parts, the rectangle contained by the two** lines shall be equal to the sum of the rectangles contained by the undivided line, and the several... | |
| Mathematics - 1836 - 472 pages
...parallelograms about a diameter, together with the two complements, is called a Gnomon. PHOP. I. If there be **two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line.** II. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
| George Darley - Euclid's Elements - 1836 - 128 pages
...extremities of equal arches, and not intersecting, are parallel, 64. ART. 89. If there he 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... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...ready to apply to the demonstration of the subsequent Propositions. PROPOSITION I. Theorem. If there be **two straight lines, one of which is divided into any...contained by the two straight lines is equal to the** & rectangles contained by the undivided line, and the several parts of the divided line. JL LH CB Proved... | |
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