 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...parallelograms which make the gnomon." PROP. I. THEOB. If there be two straight lines, one of which is divided into any number of parts; the rectangle...undivided line, and the several parts of the divided line. into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to... | |
 | 1851 - 626 σελίδες
...given straight line from ORC extremity of the same. 3. If there be two straight lines, one of which is divided into any number of parts ; the rectangle...undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The... | |
 | 1867 - 336 σελίδες
...algebraical and geometrical uses of the term " rectangle " P 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 rectangle contained by the undivided line, and tho several parts of the divided line. 2. If a straight... | |
 | Euclides - 1852 - 152 σελίδες
...parallelograms H about the diameter.] F,<*" BOOK IL PROP. T. THEOR. If there be two straight lines, one of which is divided into any number of parts, the rectangle...and the several parts of the divided line. Let A and EC be two straight lines ; and let BC be divided into any parts in the points D, E; the rectangle contained... | |
 | Euclides - 1853 - 146 σελίδες
...parallelograms which make the gnomon." PROP. I. — THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...make the gnomon." J PROPOSITIONS. PROPOSITION I. THEOB. If there be two straight lines, one of which is divided into any number of parts ; the rectangle...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... | |
 | Euclides - 1853 - 176 σελίδες
...which make the gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle...straight lines is equal to the rectangles contained by tlie undivided line, and the several parts of the divided line. LET a and b С be two straight lines... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy number of parts, the rectangle contained by the two...contained by the undivided line and the several parts (BD, DE, &c.) of He divided line. From В draw В Г at right angles to В С,* andmakeBG=A. t Through... | |
 | John Playfair - 1855 - 334 σελίδες
...line nine times that on a single one, &c. PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts; the rectangle...equal to the rectangles contained by the undivided liiie, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be... | |
 | Euclides - 1855 - 270 σελίδες
...particularly in this book. E С К. i H PROPOSITION I. THEOBEM. 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 rectangle contained by the undivided line, and the several parts of the divided line. Let A and B С... | |
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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. 
