| Bengal council of educ - 1848
...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 into any...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
...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... | |
| Euclides, Thomas Tate - 1849 - 108 pages
...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 into any...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
...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 into any...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
...the difference between the algebraical and geometrical uses of the term " rectangle " P 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 tho several parts of the divided line. 2. If a straight... | |
| Euclides - 1852
...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 into any...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 - 147 pages
...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 into any...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 - 136 pages
...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
...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 - Geometry - 1855 - 318 pages
...on a single one ; on a triple 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...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... | |
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