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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. Let the straight line AB be divided... "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 53
por Euclides - 1860
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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
...CB, is equal to the square on CD. Therefore, if a straight line, &c. QED Proposition 7.— Theorem. If a straight line be divided into any two parts,...part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C; PROPOSITIONS. CONSTRUCTION....
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...weighs G2-5 pounds. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts,...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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...equal to the difference of the squares on the lines." PROPOSITION 7. THEOREM. If a straight line l>e divided into any two parts, the squares on the whole...part, together with the square on the other part. Let the straight line AB be divided into any ' • two parts at the point C : the squares on AB, BC...
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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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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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Examination Christmas,1875

Education Department,London - 1876
...intersection together with four right angles are equal to all the interior angles of the polygon. 3. If a straight line be divided into any two 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 páginas
...V. and VI. might be deduced from thia Proposition! A. ri r, 7 1 •K i J7 PROPOSITION VII. THEOREM. If a straight line be divided into any two parts,...that part together with the square on the other part. ACI) Let AB be divided into any two parts in G. Then must sqq. on AB, BC= twice rect. AB, BC together...
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