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. Let... Elements of Plane Geometry - Page 63by Thomas Hunter - 1878 - 132 pagesFull view - About this book
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...which make the gnomon. g — gPROPOSITION 1. THEOREM. If there be two straight lines, one of which it 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... | |
| Moffatt and Paige - 1881 - 176 pages
...and the altitude be 6 units, the area of the triangle will be algebraically represented by £ a b. 2. If there be two straight lines, one of which is divided...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... | |
| Education, Higher - 1881 - 504 pages
...which the first eight propositions of Euclid II. prove. If there be two straight lines one of which be divided into any 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 line. Geometry. Senior.... | |
| Marianne Nops - 1882 - 278 pages
...rectangles contained by AB and the several parts of CD. — QED SUMMARY OF PROPOSITION I., THEOREM 1. If there be two straight lines, one of which is divided...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... | |
| Education, Higher - 1882 - 498 pages
...is an isosceles triangle. 7. Explain the terms rectangle, gnomon, complements of a parallelogram. 8. If there be two straight lines, one of which is divided...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... | |
| Education - 1882 - 676 pages
...straight line from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided...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... | |
| Mary W I. Shilleto - 1882 - 418 pages
...from its extremity, the other two from any point in it, these two are together equal to the first. 4. If there be two straight lines, one of which is divided...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... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
....: rect. EFGH coincides with and is therefore equal to rect ABCD. * ED 77 PROPOSITION I. THEOREM. // there be two straight lines, one of which is divided...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... | |
| George Lund Dunnett - 1884 - 128 pages
...many cubic yards of earth are taken out in forming 30 yards of its length ? PRACTICAL GEOMETRY. 1. If there be two straight lines, one of which is divided...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... | |
| Stewart W. and co - 1884 - 272 pages
...Thus the parallelogram HG, together with the complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight lines, one of which is divided...number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained by the tmdivided line, and the several parts of... | |
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