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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 Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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 the...

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

Euclides - 1879
...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 rect....

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

Edward Harri Mathews - 1879
...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. Show that if the two complements be together equal to -the squares on the two parts...

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

W J. Dickinson - 1879 - 36 σελίδες
...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....

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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. The straight line drawn at right angles to the diameter of a circle from the...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 σελίδες
...line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe (I. 41) the square ABED ; join BD ; through C draw (I. 29) CF parallel...

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

Sandhurst roy. military coll - 1880
...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...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
...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...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 pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...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....

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

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...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 a straight line divided into any two parts in C. Then it is to be proved...




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