 If a straight line be divided into any two parts, show that the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.  Examination Papers for Science Schools and Classes - Page 42by Great Britain. Education Department. Department of Science and Art - 1890Full view - About this book
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...prove that square on BE = rect. (BC, DE) + square on CE. 9. Divide a straight line into two parts so that the squares on the whole line and on one of the parts shall be together equal to three times the square on the other part 10. Prove that the squares on the... | |
 | Education Department,London - 1876 - 1010 pages
...triangle are together equal to two right angles. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced... | |
 | 1878 - 576 pages
...straight lines are parallel to one another. Book 2.—6. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. 7. If a straight line bisect an angle of an equilateral triangle, it will cut the opposite side at... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...line, and the part between the points of section. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 15. If a straight line be divided into two equal... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...to the two diagonals of the parallelogram. in. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may be together double of the square on the other part. in. 28. A triangle is turned about its vertex,... | |
 | Queensland. Department of Public Instruction - Education - 1877 - 376 pages
...proposition, and state why it 'needs no demonstration.' 7. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...that part together with the square on the other part. (c.) State what is the sole use of thio proposition in Euclid's investigations, and show, if you can,... | |
 | Queensland. Department of Public Instruction - Education - 1886 - 512 pages
...the rectangle contained by ,the segments of the bane. Divide a given straight line into two parts, so that the squares on the whole line and on one of the part* shall he, together, three times the square on the other part. NEEDLEWORK. 20th December—2 to... | |
 | Alfonzo Gardiner - 1878 - 146 pages
...15, and their difference is 2. Find the numbers. 7. If a straight line be divided into any two parts the squares on the whole line and on one of the parts...that part together with the square on the other part. 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the diameter of a circular... | |
 | Education - 1878 - 514 pages
...is equal to the difference of their squares. 13. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts...the whole and that part, together with the square ou the other part. COMPOSITION.—Each candidate may choose any one of the following topics: Rome;... | |
 | Euclides - 1878 - 398 pages
...to the two diagonals of the parallelogram. ill. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may be together double of the square on the other part. lit. 28. A triangle is turned about its vertex,... | |
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