 | Euclides - 1862 - 172 pages
...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
...angle is equal to the squares described on the sides which contain the right angle. 11. If there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. 12. Describe... | |
 | 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 the divided line, Let A and BC... | |
 | 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 the divided line. Let A and BCbe... | |
 | Euclides - 1865 - 402 pages
...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 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. Prop. 2. If... | |
 | 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...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several farts of the divided line. Let A and JBC... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 into 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
...the opposite angles of the parallelograms which make the gnomon." 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, Let A and BCbe... | |
 | 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... | |
 | Edinburgh univ - 1871 - 392 pages
...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 into any...number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
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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. 
