In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6. A Shorter Geometry - Página xiiiVista previa limitada - Acerca de este libro
| James Andrew Blaikie, William Thomson - 1891 - 160 páginas
...figure and have an angle equal to a given angle. 46. To construct a square on a given straight line. 47. In a right.angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. 48. If the square on one side of a triangle be equal to the... | |
| Henry Martyn Taylor - 1893 - 486 páginas
...intersection of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:... | |
| Henry Martyn Taylor - 1895 - 708 páginas
...intersection of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:... | |
| William Jay Youmans - 1897 - 902 páginas
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and... | |
| Algernon Taylor - 1895 - 350 páginas
...his 47th proposition, viz. that in a right-angled triangle the square on the hypothenuse is equal to the sum of the squares on the sides containing the right angle. Pursuing his labours in collecting, arranging, and formulating, Euclid so systematized the subject... | |
| James Welton - 1896 - 504 páginas
...proprium ; whilst, that ' the square on the hypothenuse of a right-angled triangle is equal in area to the sum of the squares on the sides containing the right angle ' is a proprium ; for it is an attribute common to all right-angled triangles, and which can be shown,... | |
| William Stanley Jevons - 1896 - 344 páginas
...opposite two are parallel. (3) The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle. (4) The swallow is a migratory bird. (5) Axioms are self-evident truths. 5. Classify the following... | |
| Rupert Deakin - 1897 - 344 páginas
[ Lo sentimos, el contenido de esta página está restringido. ] | |
| 1897 - 896 páginas
...numbers.. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and... | |
| Francis Campin - 1898 - 414 páginas
...frequently used formula? are those applying to right.angled triangles (Euclid, book i., prop. 47), in which the sum of the squares on the sides containing the right angle is equal to that of hypothenuse which is opposite to it. For example, let the length of a bracing bar... | |
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