| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...or by " AB . AD." PROP. XLI. THEOR. ,. 2Eu . angle contained by tlie two straight lines, is equal to the rectangles contained by the un-divided line, and the several parts of the divided line, Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A. BD + A. DE+A.... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A.BD + A.DE+A.EC... | |
| Euclides - 1848 - 52 pages
...complements, is called a gnomon. PROPOSITIONS. PROP. I. THEOREM. IP there be tvvo straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. PROP. II. THEOREM.... | |
| Bengal council of educ - 1848 - 394 pages
...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 of parts ; the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Hence prove... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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 of parts; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. into any parts... | |
| Education - 1851 - 628 pages
...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 of parts ; the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Hence prove... | |
| 1867 - 336 pages
...the 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...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
...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...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and EC... | |
| Euclides - Geometry - 1853 - 178 pages
...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 of parts, the...contained by the two straight lines is equal to the rectangles contained by tlie undivided line, and the several parts of the divided line. LET a and b... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...parallelograms which 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...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
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