 | Bengal council of educ - 1848 - 394 pages
...2. Draw a straight line at right angles to a given straight line from one extremity of the same. 3. If there be two straight lines, one of which is divided...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... | |
 | Euclides - 1848 - 52 pages
...together with the two complements, is called a gnomon. PROPOSITIONS. PROP. I. THEOREM. IP there be tvvo straight lines, one of which is divided into any number...undivided line, and the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...EHC, which are at the opposite angles of the parallelograms which make the gnomon." PROP. I. THEOB. If there be two straight lines, one of which is divided...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... | |
 | Education - 1851 - 626 pages
...'2. Draw a straight line at right angles to a given straight line from ORC extremity of the same. 3. If there be two straight lines, one of which is divided...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 pages
...gnomon. What is the difference between the algebraical and geometrical uses of the term " rectangle " P If there be two straight lines, one of which is divided...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 pages
...with the exception of one of the parallelograms H about the diameter.] F,<*" BOOK IL PROP. T. THEOR. If there be two straight lines, one of which is divided...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 - Geometry - 1853 - 176 pages
...the opposite angles of the parallelograms which make the gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided...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... | |
 | Euclid - Geometry - 1853 - 176 pages
...point. If a line be cut in extreme and mean ratio. If a straight line be divided into three parts. If there be two straight lines, one of which is divided into any number of parts. If two straight lines be each of them divided into any number of parts. If two straight lines be taken.... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...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 - Euclid's Elements - 1855 - 340 pages
...gnomon may also, for the sake of k brevity, be called the gnomon AGK •orEHC." B E D PROP. I. THEOR. If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. DEC Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ;... | |
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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. 
