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" If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. "
Responsions - Página 6
por University of Oxford - 1863
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 páginas
...manifest that the rectangles about the diameter of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 páginas
...If the square on the hypothenuse be fire times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal and also into two unequal parts; the rectangle contained by the unequal parts together with the square of the line between the points of...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 páginas
...to two right angles. At what angles are the sides of a regular duodecagon inclined to each other? 3. If a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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Parliamentary Papers, Volumen25

Great Britain. Parliament. House of Commons - 1858 - 694 páginas
...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 páginas
...intersect and bisect each other, the straight lines joining their extremities will form a parallelogram. 9. If a straight line be divided into two equal and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line and of the square of the...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volumen3

1858 - 398 páginas
...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 páginas
...of the diagonals of a parallelogram are together equal to the squares of the four sides. 6. If a st. line be divided into two equal and also into two unequal parts, the squares of the two unequal parts are together equal to twice the rectangle contained by these parts, together...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 páginas
...the square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line, and of the square of the line...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...finds himself 2,2001. in debt. What was the annual income, and what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 páginas
...on CB, the square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and...square on the line between the points of section. Given the straight line AB, divided at the point C into two equal, and at D into two unequal parts...
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