 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
 | Robert Potts - 1865 - 528 pages
...opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If tliere "be t3tto 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 farts of... | |
 | John Playfair - Geometry - 1855 - 350 pages
...may also, for the sake of 4 brevity, be called the gnomon AGK •or EHC." JJ DEC PROP. I. THEOR. I/ there be two straight lines, one of which is divided into any number ej parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...at the opposite angles of the parallelograms which make the gnomon. AE K DE PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided...any number of parts, the rectangle contained by the tiro sir-tight lines is equal to the rectangles contained by the undleided line, and the several parts... | |
 | Robert Potts - 1868 - 434 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... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...to £ (AB+CD)xEF. 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 the several parts of the divided line. Let AB... | |
 | Edinburgh univ - 1871 - 392 pages
...described upon the other two sides of it; the angle contained by these two sides is a right angle. 3. 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 one. 4. If two straight... | |
 | Euclides - 1871 - 136 pages
...shewn that H will coincide with D, .: rect. EFGH coincides with and is .-. equal to rect. ABCD. QED 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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...same parallels, the area of the triangle will be half the area of the parallelogram. PROPOSITION 1r. If there be two straight lines, one of which is divided into any number of farts, the rectangle of the two straight lines shall be equal to tJ1e sum of tJ1e rectangles of the... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the signs +, — , and =. They will accordingly be occasionally employed. PBOPOSITION I. If there are 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 sum of the rectangles contained by the undivided line and the several... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...with and is .'. equal to rect. A BCD. QFD PROPOSITION L TIIEOBEM. If there be two straight lines, (me 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... | |
| |
