 | 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 - 186 pages
...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 - 154 pages
...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 - 380 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 - 288 pages
...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 - 612 pages
...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 - 260 pages
...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 - 714 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 - 172 pages
...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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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... 
