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
| Mathematics - 1835 - 684 pages
...countries by square 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...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 parts... | |
| Euclid - 1835 - 540 pages
...are at the opposite H B B K C ' angles of the parallelograms which make 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... | |
| Mathematics - 1836 - 488 pages
...the 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...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... | |
| George Darley - Euclid's Elements - 1836 - 172 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... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...one " another. These signs will be occasionally used for brevity, " in what follows." PROP. I. THEOR. IF there be two straight lines, one of which is divided...rectangle contained by the two lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...have them ready to apply to the demonstration of the subsequent Propositions. PROPOSITION I. 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...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... | |
| Robert Simson - Geometry - 1838 - 434 pages
...'at the opposite angles of the paral- H 'lelograms which make the gnomon.' F D K BGC 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... | |
| Euclides - Geometry - 1841 - 378 pages
...at the opposite angles ' of the parallelograms, which make the gnomon.' PROP. I. THEOR. If there oe 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...H " gnomon may also, for the sake of " brevity, be called the gnomon AGK "orEHC." B 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... | |
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