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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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 48
av Robert Simson - 1762 - 466 sider
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...27. Show that if a straight line be divided into any two parts, the squares on the ivhole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on the other part. Let ABC be a triangle having a right...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...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 algebraic proposition, a2 + 'r>2ai,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...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 on AC is double the square on CB,...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 sider
...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 diagonals of the squares on the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...F PROPOSITION 7. If a straight line is 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. Let AB be divided at C. Then the sqs. on AB, BC = twice rect. AB, BC with...
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Annual Report of the Chief Superintendent of Education

1891
...contained by 5. If a straight line be divided into any two parts, the squares on the whole line andón 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. NOTE. — Female candidates for Class I. will omit the 2nd and 4th of the...
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The Educational Record of the Province of Quebec: The Medium ..., Volum 11

1891
...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. 4. What proposition of the second book would be formed from Euclid II. 12,...
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Educational Review

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906
...another. 9. 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. 10. From a given point O external to a given circle draw a straight line...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...produced. 7. 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. 8. If a straight line be divided into any two parta, four times the rectangle...
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Examinations Papers

1891
...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 on the other part. 6. In an obtuse-angled triangle the square on the side opposite the obtuse...
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