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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 76
door Euclides - 1852
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An Essay on the Use of the Spirit Level: As Applied to Engineering and Other ...

Thomas Oswald Blackett - 1838 - 106 pagina’s
...between the true and apparent level may also be found according to the (Prop. 47, 1st. Book EuclidJ. In any rightangled triangle, the square which is described...described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles, the sum of the squares of the two short sides...
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The Elements of Euclid

Euclid - 1838 - 416 pagina’s
...parallelogram that has one right angle, has all its angles right angles. THE ELEMENTS OF EUCLID. G upon the side subtending the right angle, is equal...sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side BC is equal...
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The Elements of Euclid

Euclid - 1838 - 416 pagina’s
...angles right angles. PROP. XLVII. THEOR. IN any right angled triangle, the square which is described ' G upon the side subtending the right angle, is equal...sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side BC is equal...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...right-angled triangle, the sqnnre which is described upon the side subtending the right angle, is eqnul tu the squares described upon the sides which contain...Let ABC be a right-angled triangle having the right ungle BAC : the square described upon the side BC shall be equal to the squares described upon BA,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pagina’s
...Hence every parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is...angle. Let ABC be a right-angled triangle having the BC shall be equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on BA,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pagina’s
...that has one right angle has all its angles right angles. PROP. XLVII. THEOR. ' In any right angled triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to...
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides subtending the right angle, is equal to the squares...be a right-angled triangle, having the right angle BAC ; the square, described upon the side BC, is equal to the squares described upon BA, AC ; that...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain...be a right-angled triangle having the right angle BAC: the square described upon the side вc is equivalent to the squares described upon BA, AC. On...
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A course of practical geometry for mechanics

William Pease - 1843 - 68 pagina’s
...line from A to C, when AC shall be the side of a square equal to the two given squares. Reason : " In any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle." If a...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is...be a right-angled triangle, having the right angle BAC. Then the square described upon the side BC, shall be equal to the squares described upon BA, AC....
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