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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 ... - Seite 48
von Robert Simson - 1762 - 466 Seiten
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 Seiten
...angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts, 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. Ax. 2, 47. I. 16. I. If one side of a triangle be produced, the ext. angle...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...contractor bound to supply ? Euclid. 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...contained by the whole and that part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and...
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858 - 270 Seiten
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, 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. 33. Prove the last proposition algebraically also. 34. If a straight line...
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Skeleton propositions &c. of Euclid, books i and ii, with references ..., Band 2

Euclides - 1858 - 136 Seiten
...required the earth's diameter. PROP. VII. THEOR. If a st. line be divided into any two parts, 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 CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...a square on a given straight line. 3. If a straight line be divided into any two parts 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. Voluntary Portion. 1. Reduce (x+y$x(x+y)\ x(x— y)nx(i— y)q. Solve the...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 Seiten
...of AB the distance CD is the'same. 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 PA. C rectangle contained by the whole and that part, together with the square of the other part, 7....
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 Seiten
...other parallelogram of equal area. 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...contained by the whole and that part, together with the square of the other part. 2 II. ALGEBRA. 1. Given o=4, ó=— 3, e=0, find the value of Ъ 2 (a - i)...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...mean distance. 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. Given the straight line AB, divided into any two parts in the point C ; to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...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...contained by the whole and that part, together with the square on the other part. Let the straight line ABbe divided into any two parts in the point C. Then...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 Seiten
...decreasing. 14. 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 of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed....
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