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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...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...part, together with the square of the other part. Write down the corresponding algebraical formula. 2. Find the centre of a given circle. If a circle...

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

French Ensor Chadwick - 1880 - 207 σελίδες
...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...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 of it, which shall...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...7. 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...the whole and that 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...

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...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 than...

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

1880 - 144 σελίδες
...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...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 the acute...

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

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...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...the whole and that part, together with the square on the other part. Let AB be a straight line divided into any two parts in C. Then it is to be proved...

The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...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 whole and that part together with the square...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...square of CB is equal to the square of CD. PROP. VII. THEOREM. If a itraight linn be divided into any two parts, the squares of the whole line, and of one...contained by the whole and that part, together with the iquare of the other part. Let the straight line AB be divided into any two parts at the point C. The...

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 σελίδες
...and 10. 2. 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...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 than...

The Cambridge Examiner

...formed together equal two right angles. 5. If a straight line be divided into any two parts, the square of the whole line and of one of the parts are equal to twice the rectangle of the whole and that part together with the square of the other part. Express in geometrical terms...




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