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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... "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 53
por Euclides - 1860
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 páginas
...to the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. 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...
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Middle-class education. 2, Volumen18

Middle-class education - 1857
...proposition true of the angles of a triangle ? Give reasons for your 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 to twice the rectangle contained by the whole,...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volumen2

Euclides - 1858
...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...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. H. 34....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...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 to twice the rectangle...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 is greater...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...quantity supplied only filled 152 sacks. How many sacks was the 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 to twice the rectangle contained by the whole 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
...proposition true of the angles of a triangle? Give reasons for your 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 to twice the rectangle contained by the whole,...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...and CQ ; D the middle point of AB, show that for all positions 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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...were 5 times the number of Scotch. How many were there of each nation in the regiment ? 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 to twice the rectangle contained by the whole and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice, the square on the other part. 14. Any rectangle is the half of the rectangle...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...equal hases, in the same straight line and on the same side of it, are between the same parallels. 6. If a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and...
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