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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...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...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 given...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 páginas
...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 twice the rectangle...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...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...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...that part together with the square on the other part. Same proposition. Prove this both geometrically and algebraically. Same proposition. Show that the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 páginas
...parts 1^ ' f = ] twice the rectangle (contained by the parts. Prop. 7, 1 twice the rectangle contamed by the whole and that part, together with the square on the other part. Prop. 8, Four times the rect-\ angle contained by the I /the square on the straight whole and one part,...
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Papers for teachers

1880
...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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts may be together double of the square on the other part. 505. Two rectangles have equal areas and equal...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 páginas
...on AB," and for " the rectangle contained by AB and CD," " rect. AB, CD."] 1. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the .other part. 2. Given a line divided into two parts as in Proposition xi. of Book II. ; show that the squares on...
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The Cambridge Examiner, Volumen1

1881
...given line. 7. 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...by the whole and that part together with the square of the other part. Any rectangle is the half of the rectangle contained by the diameters of the squares...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...VII. THEOREM. If a itraight linn 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 iquare of the other part. Let the straight line AB be divided into any two parts at the point C. The...
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The Cambridge Examiner, Volumen4

1884
...circle into three equal parts, which shall also have equal perimeters. , . 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts shall be equal to twice the rectangle contained by the whole and that part, together with the square...
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