 | Euclides - 1837 - 112 σελίδες
...PROPOSITION I. Theorem. 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. JL LH CB Proved... | |
 | Robert Simson - 1838 - 434 σελίδες
...D K BGC PROP. I. THEOR. IF there be two straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight...be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to the... | |
 | Euclides - 1838 - 264 σελίδες
...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 be two straight lines; and... | |
 | Euclid - 1838 - 470 σελίδες
...to the rectangles contained by the undivided line, and the several parts of the divided line. Let-A and BC be two straight lines; and let BC be divided into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to the... | |
 | Euclides - 1840 - 192 σελίδες
...and AB), of 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 - 1840 - 82 σελίδες
...contained by two 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 - 1841 - 378 σελίδες
...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...be two straight lines; and let BC be divided into any parts in the points D, E; the rectangle contained by the straight lines A, BC shall be equal to... | |
 | John Playfair - 1842 - 332 σελίδες
..."orEHC." B PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight...be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle A.BC is equal to the several rectangles A.BD, A.DE, A.EC.... | |
 | Euclides - 1842 - 316 σελίδες
...gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided into any number of parts : the rectangle contained by the two straight...undivided line, and the several parts of the divided line. by A, BD, together with that contained by A, DE, and that contained by A, EC. From the point в draw... | |
 | 1844 - 688 σελίδες
...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...undivided line and the several parts of the divided line. 7. If a straight line be divided into any two parts, the squares of the whole line, and of one of the... | |
| |
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. 
