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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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...7. THEOREM. If a straight line l>e 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 at the point...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...required. 1. 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. 2. Describe a square that shall be equal to a given rectilineal figure. If...
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...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...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; PROPOSITIONS....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...— 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...triangle.) 5. 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. C. Prove that, if a straight line AD be drawn from A, one of the angles of...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares ou 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. 1. Find the GCM of 24z* — 22x3 + 5 and 48.Z* + 16z2 — 15, and = 6} za;...
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Examination Christmas,1875

Education Department,London - 1876
...polygon. 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. Produce a given line so that the rectangle contained by the whole line thus...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...line be divided into any two parts, the square on the whole line and one of the parts is equivalent to twice the rectangle contained by the whole and that part, together with the square on the other part. SECTION II. — The Theorem of Pythagoras. Enunciation. — " If squares...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 21

1877
...these two sides is a right angle. 4. If a straight line be divided into any two parte, 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. What is the algebraical equivalent to this proposition? 5. To divide a given...
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John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878
...the numbers. 7. 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. 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the...
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