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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 páginas
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...straight line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and that part together with the square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares of AB,...
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Middle-class education. 2

Middle-class education - 1857
...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...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 touch...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...? 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...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 trace the...
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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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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...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...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 touch...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...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 to twice the rectangle...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 equations...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...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....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...to the difference between the squares on half the line and the mean distance. If a straight line be divided into any two parts, the squares on the whole...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 that the squares on...
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