 | Great Britain. Admiralty - 1846 - 128 sider
...expressed by the words " rectangle of AB and AD j" or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle contained by the two straight lines, is equal to 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... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...words " rectangle of AB and AD;" or by " AB . AD." PROP. XLI. THEOR. ,. 2Eu . angle contained by tlie two straight lines, is equal to the rectangles contained...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 +... | |
 | Bengal council of educ - 1848 - 394 sider
...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 sider
...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 sider
...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... | |
 | 1851 - 626 sider
...'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 sider
...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 sider
...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...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... | |
 | Euclides - 1853 - 146 sider
...which are at the opposite angles of the parallelograms which make the gnomon." PROP. I. — THEOREM. If there be two straight lines, one of which is divided...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...opposite angles of the parallelograms which make the gnomon." J PROPOSITIONS. PROPOSITION I. THEOB. If there be two straight lines, one of which is divided...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... | |
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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. 
