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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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...equal to the sum of the other two. 6. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...contained by the whole and that part, together with the square of the other part. 7. Prove that a straight line cannot have more than two points in common...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...the other. 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. If a point be taken within a circle, from which there fall more than two...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...VII. THEOREM. 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 AB be divided into any two parts at C. Then the sqs. on AB, BC = twice...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...VII. Theorem. 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 into any two parts in the point C. Then...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 sider
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc equal to twice the rectangle contained by the whole and that part together with the square on the other part. 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB,...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...line be divided into any two parts, the squares of the whole line and of 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. Same proposition. Prove this both geometrically and algebraically. Same proposition....
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...contents shall be equal to each other? 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. Write down the corresponding algebraical formula. 2. Find the centre of a...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 sider
...square upon a given straight line. 6. If a straight line be divided into two parts, the squares of rhe whole line, and of one of the parts, are equal to...contained by the whole and that part, together with the square of the other part. 7. To draw a straight line from a given point, either in the circumference...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 sider
...aforesaid part. 8. 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. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of...
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Papers for teachers

1880
...Propositions 9 and 10. 2. If a straight line be divided into any two parts, the squares on the whole line and 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. Hence show that the sum of the squares on two straight lines is never less...
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