 | Bengal council of educ - 1848 - 394 pagine
...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 number...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pagine
...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 number...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 pagine
...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 number...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 pagine
...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 number...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 pagine
...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 number...undivided line, 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagine
...of the parallelograms which make the gnomon." J PROPOSITIONS. PROPOSITION I. THEOB. If there be two straight lines, one of which is divided into any number...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... | |
 | Euclides - 1853 - 146 pagine
...opposite angles of the parallelograms which make the gnomon." PROP. I. — THEOREM. If there be two straight lines, one of which is divided into any number...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... | |
 | Euclides - 1853 - 176 pagine
...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 number...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 - 1853 - 176 pagine
...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 - 1854 - 534 pagine
...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... | |
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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. 
