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Libri Libri 41 - 50 di 174 su Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled....
" Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. "
History of Rome [by H. Malden]. - Pagina 35
di Henry Malden - 1830
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge, Volume 5

1890
...measurement. An example of a metrical property is the theorem of the three squares : The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the two sides. The geometry of Euclid s Elements is metrical. Descriptive geometry is...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 pagine
...line which is made up of the whole line and that part. PROPOSITION XXIV. 218. Theorem: The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides. Statement : Let ABC be any right-angled triangle. Let AL be a square...
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The Strand Magazine, Volume 21

Sir George Newnes - 1901
...equal sides be produced the angles on the other side of the base are equal also ; or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate...
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The Dublin Review, Volume 110

1892
...selfintrospection will- make this clear. When, for example, the student has learnt that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides, he knows implicitly that he knows this truth, and he knows implicitly...
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A Text-book on Rhetoric: Supplementing the Development of the Science with ...

Brainerd Kellogg - 1892 - 345 pagine
...arouse feeling. No one but its discoverer was ever moved to enthusiasm by the truth that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the remaining sides. A coldly logical and unanswerable argument dealing with our relations...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - 1892 - 416 pagine
...principles relating to right-angled triangles have been established by Geometry : 1. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2, The square of the base, or of the perpendicular, of a right-angled...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - 518 pagine
...equal to one of the angles of the given triangle. 8. Pro.ve that the equilateral triangle described on the hypotenuse of a right.angled triangle is equal to the sum of the equilateral triangles described on the sides containing the right angle. [Let ABC be the triangle...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - 1892 - 416 pagine
...principles relating to right-angled triangles have been established by Geometry: 1. TJie square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2. The square of the base, or of the perpendicular, of a right-angled...
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Letters on a Regicide Peace: Letters I. and II.

Edmund Burke - 1893 - 176 pagine
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. ll. 25-26, Goitre . . . countenance, all being equally afflicted with the...
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Euclid's Elements of Geometry, Libri 1-6

Henry Martyn Taylor - 1893 - 504 pagine
...the second part the ratio which the whole has to the second part. 406 PROPOSITION 31. A polygon on the hypotenuse of a right-angled triangle is equal to the sum of the polygons similarly described on the other sides. Let ABC be a right-angled triangle having the...
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