| Bengal council of educ - 1848 - 394 pages
...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...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... | |
| 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...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.... | |
| Euclid, Thomas Tate - 1849 - 120 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...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... | |
| 1867 - 336 pages
...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... | |
| Education - 1851 - 628 pages
...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...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... | |
| Euclides - 1852 - 152 pages
...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...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 - 1853 - 146 pages
...the 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...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... | |
| Euclides - Geometry - 1853 - 178 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...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
...angles 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...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... | |
| Euclid - Geometry - 1853 - 176 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.... | |
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