| Civil service - 366 pages
...is a parallelogram. BOOE IL PROP. VI. — If a straight line be bisected and produced to any point, **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| John Paxton Hall - 1860
...is a parallelogram. BOOK II. PROP. VI. — If a straight line be bisected and produced to any point, **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Joseph Charles Parkinson - 1860
...parallelogram. BOOK II. 7. PEOP. VI. — If a straight line be bisected and produced to any point, **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...together with the rectangle BE, DF is equal to the parallelogram A C. n. 19. Shew how to produce a given **line, so that the rectangle contained by the whole line thus produced, and the** produced part, shall be squal to the square (1) on the given line (2) on the part produced. 20. If... | |
| Euclides - 1860
...segments AG and GB is equal to the square upon the given straight line C. PROPOSITION XXIX. PROBLEM. **To produce a given straight line, so that the rectangle contained by the** external segments of the given line may be equal to a given space. Let AB be the given straight line,... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860
...line, so that the sum of the squares on the given line and the part produced may be equal to twice **the rectangle contained by the whole line thus produced, and the part** produced. 8 If a point be taken within a circle from which there fall more than two equal straight... | |
| War office - 1861
...REV. WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, **the rectangle contained by the whole line thus produced and the part of it produced,** together •with the square on half the line bisected, is equal to the square on the straight line... | |
| War office - 1861 - 12 pages
...straight lines cannot have a common segment. 2. If a straight line be bisected and produced to any point, **the rectangle contained by the whole line thus produced and the part of it produced** together with the square of half the line bisected, is equal to the square of the line which is made... | |
| Euclides - 1862
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclides - 1862 - 140 pages
...straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. **Produce a given straight line, so that the rectangle contained by the whole line** so produced, and the part produced, may be equal to a given square. 4. Prove that the difference of... | |
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