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" 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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 52
door John Playfair - 1856 - 318 pagina’s
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pagina’s
...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 to twice the rectangle contained...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. H. 34. I. EXP. Соя....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pagina’s
...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 to twice the rectangle contained...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 is greater than either of...
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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 pagina’s
...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 to twice the rectangle contained...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 pagina’s
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pagina’s
...another. 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 to twice the rectangle contained...part, together with the square of the other part. 4. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 412 pagina’s
...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. Divide a line into two such parts that their rectangle may be the greatest possible. 8. The opposite...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pagina’s
...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...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 prove...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pagina’s
...another. 6. 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. 7. If ABC be a triangle, and AD, BE, be drawn perpendicular to BC, AC, and intersect...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...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...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 the squares...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pagina’s
...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...that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed. 16. If four straight...
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