 | 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...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... | |
 | 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...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 - 1838 - 264 pages
...-parallelograms which make the gnomon.PROP. I. THEOR. If there be two straight lines, one of which is dieided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undieided line, and the seeeral parts of the dieided line. Let A and BC... | |
 | Euclides - 1840 - 82 pages
...straight lines, of which one is divided into any number of parts, is equal to the sum of the rectangles contained by the undivided line and the several parts of the divided line. PROP. II. THEOR. If a straight line be divided into any two parts, the square of the whole line is... | |
 | Euclides - 1840 - 192 pages
...which one (AB) is divided into any number of parts (AF, FH, HB), is equal to the sum of the rectangles contained by the undivided line and the several parts of the divided line. From A draw AC perpendicular to AB, make it equal to L, and complete the parallelogram AD (that is... | |
 | 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...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 - 1842 - 316 pages
...or ' EHC, at the opposite angles of the " ' parallelograms which make the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. by A, BD, together... | |
 | 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...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... | |
 | Education - 1844 - 688 pages
...one anotker, and the diameter bisects them, that is, divides them into two equal |>orts. 6. If (here be two straight lines, one of which is divided into any number ot parts, the rectangle contained by the two straight lines is equal to the rectangles contained by... | |
 | Euclid - Geometry - 1845 - 218 pages
...are at the opposite angles of the 'parallelograms which make the gnomon.' PROPOSITION I. THEOB. — If there be two straight lines, one of which is divided...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... | |
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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. 
