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" 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 the other part. Let the straight line AB be divided... "
Examination Papers for Science Schools and Classes - Page 30
by Great Britain. Education Department. Department of Science and Art - 1886
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...the whole line and on one of the parts will be equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let AB be divided into any two parts at C. A ' D To prove AB2 + CB2 = 2 rect. AB . BC + AC2. v AB2 = AC2...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 175 pages
...given rectilineal angle. 3. 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 the other part. (LEGEND KE.) 1. If two sides of a quadrilateral...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...CD. VII. — 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 AB be divided into any two parts in...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...Prop. I. 7. If a straight line is 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 : where is this proposition employed ? 8....
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...triangle is acute-angled. . 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 the other part. Enunciate any other proposition of the second...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...triangles stand to one another. \ 4. If a straight line be divided into 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 the other part. 5. Hence give a Geometrical proof of the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889
...to the triangle ABC. 4. 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 the other part. If AB be divided in C so that the square...
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The Irish Law Times and Solicitors' Journal, Volume 23

Law - 1889
...line be divided into any two parts the sura of tho squares ou the whole line and either segment is equal to twice the rectangle contained by the whole line and that segment together with the sijuure on the other segment. 8. Prove that in an obtuse-angled triangle...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...divided into any two parts, the square on the whole line together with the square on one of the parts is equal to twice the rectangle contained by the whole...line and that part, together with the square on the remaining part. _X _ B Let st. line AB be divided in X. On AB describe sq. ABCD. In AD take E so that...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 132 pages
...accuracy '.] 1. 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 the other part. Prove that the rectangle contained by the...
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