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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...twice sq. on AC together with twice sq. on EF = twice sq. on AC together with twice sq. on CD. QED; To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part....
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...complements, for a given parallelogram, can have ? n. 11. Divide a given straight line into two parts such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 1867. in. 22. If the chords, which bisect...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...larger, in the sixth, the latter. PBOPOSITION VTI. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...with twice sq. on EF = twice sq. on AC together with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the irhcle and one of the parts shall 6 equal to the square on the other part....
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The Madras University Calendar

University of Madras - 1873 - 436 pages
...that 6hall be equal to a given triangle. V. If a straight line be divided into any two parts, prove 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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...; bnt DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part....
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...to the base BC and EB joined : 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION 11.— Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part....
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...this proposition may be thus stated, and prove that the equation is true. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part....
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts, 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...
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