 | Euclides - 1845 - 546 pages
...opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be imo 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. Let A and BC... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...These signs will be occasionally used for brevity, in what follows." PROPOSITIONS. PROP. I. THEOR. — If there be two straight lines, one of which is divided...number of parts ; the rectangle contained by the two lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided... | |
 | Euclides - 1846 - 292 pages
...EHC, which are at the opposite angles of the parallelograms which make the gnomon. PROP. I. THBOB. If there be two straight lines, one of which is divided...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, John Playfair - Euclid's Elements - 1846 - 334 pages
...sake of 4 brevity, be called the gnomon AGK •orEHC." D B 49 JJ ' DEC ~ — • -- ' PROP. I. THEOR. If there be two straight lines, one of which is divided...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 B... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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. EC... | |
 | Bengal council of educ - 1848 - 394 pages
...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...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
...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...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
...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...the rectangle contained by the undivided line, and tho several parts of the divided line. 2. If a straight line be divided into any t»o parts, the square... | |
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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. 
