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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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Elements of geometry, containing the first two (third and fourth ..., Parte1

Euclides - 1871
...V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole...that part together with the square on the other part. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect. AB, BC together...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...former of these two Qs is the 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 - 1872 - 349 páginas
...for a given parallelogram, can have ? Ii. 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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Elements of geometry, containing the first two (third and fourth ..., Parte2

Euclides - 1872
...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 bo together double of the square on the other part. in. 28. A triangle is turned about its vertex,...
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The Madras University Calendar

University of Madras - 1873
...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,...part, together with the square on the other part. VI. From any point D in the side CA of a right-angled triangle ABC, of which C is the right-angle,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal...
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Pure mathematics, Volumen1

Edward Atkins - 1874
...square on CD. Therefore, if a straight line, &c. QED Proposition 7. — Theorem. If a straight line be divided into any two parts, the squares on the whole...the straight line AB be divided into any two parts in the point C; PROPOSITIONS. For AK=CE. .-. AKF CONSTRUCTION. — TTpon AB describe the square ADEB...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 2. Describe a square that shall be equal to a given rectilineal figure. If a square and a rectangle...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 páginas
...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
...square shall be equal to two given squares. 7. 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. 8. Show that the difference of the squares of...
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