 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 - Σελίδα xiΠεριορισμένη προεπισκόπηση - Σχετικά με αυτό το βιβλίο
 | James Andrew Blaikie, William Thomson - 1891 - 160 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | 1897 - 896 σελίδες
...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 σελίδες
...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... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...ABF; their vertices pointing outwards. Prove that AD=BE=CF. THEOREM 6. [THE THEOREM OF PYTHAGORAS.] 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. H Data ABC is a triangle, right.angled at A.... | |
| |
