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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 first and second books of Euclid explained to beginners, by C.P. Mason - Σελίδα 149
των Euclid, Charles Peter MASON - 1872
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...CB, is equal to the square on C D. Therefore, if a straight line, etc. QED Proposition VII. Theorem. If a straight line be divided into any two parts,...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...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...x(2d + x) - a* + lax + x", =(a + x)*; that is, if a number be divided, &c.] PROPOSITION VII. THEOREM. If a straight line be divided into any two parts,...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...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...equal sides be produced the angles on the other side of the base shall be equal to one another. 3. If a straight line be divided into any two parts,...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...

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

Edward Harri Mathews - 1879
...Construct the figure ; and prove that one of the given triangles is 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 to twice the rectangle contained by the whole and...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 σελίδες
...which is made up of the half and the part produced. 7. Define a rectangle and a gnomon. Prove that if a straight 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...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...should have, The rectangle BD, AD together with the square on AC = the square on CD. PROP. VII. THEOREM. If a straight line be divided into any two parts,...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...

The student's guide to the University of Durham, with information respecting ...

1880 - 144 σελίδες
...equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be divided into any two parts,...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...

Papers for teachers

1880
...by algebraical processes ? Give the formulas in algebra corresponding to 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...

Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 σελίδες
...straight line be divided into two parts, the squares of rhe 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. 7. To draw a straight line from a given point, either in the circumference or out...

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...the base so as to divide the pyramid into two parts whose 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 to twice the rectangle contained by the whole...




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