 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
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...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...rectangle contained by the two lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. If a straight... | |
 | Euclides - 1858 - 248 pages
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 - 1860 - 470 pages
...( AB+ CD) x EF. 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 tJ.c several parts of the divided line. Let... | |
 | Euclides - 1860 - 288 pages
...or EHC, which are at the opposite angles of the parallelograms which make the gnomon. _D—..E_ C H 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 - 1862 - 172 pages
...which are at the opposite angles of the parallelograms which make the Gnomon.' PROP. I.— THEOREM. If there be two straight lines, one of which is divided into any number of parts ; then the rectangle contained by the two straight lines, is equal to the rectangles contained by the... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...of the parallelograms which are about the diameter of any parallelogram, are equal to each other. 7. 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 - 1864 - 262 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of tchich 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... | |
 | Euclides - 1864 - 448 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be tico straight lines, one of irhich 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... | |
 | Euclides - 1865 - 402 pages
...Define a rectangle. By what is it contained? 2. Define a gnomon. PROPOSITIONS AND COROLLARIES. Prop. 1. 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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