 | Daniel Cresswell - 1819 - 486 σελίδες
...which is equal to the diameter of a square, is the double of that square. PROP. LXXVII. 100. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters, is equal to... | |
 | John Playfair - 1819 - 350 σελίδες
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right angled triangle having the right angle... | |
 | James Hardie - 1819 - 364 σελίδες
...of Euelid. The theorem is, that" 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.'' This was a discovery made by oar illustrious friend... | |
 | Euclides - 1821 - 294 σελίδες
...sides of a right angled triangle any similar rectilineal ^figures be similarly described, the Jigure described on the side subtending the right angle is equal to the sum of the Jtgures on the other two sides which contain the right angle. From the right *Z- draw a... | |
 | Richard Carlile - 1825 - 920 σελίδες
...general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie 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. Euclid, lib. i. prop. 47, Erery art which is necessary... | |
 | John Martin Frederick Wright - 1825 - 798 σελίδες
...angles equal ten right angles ? 2. In any right-angled triangle, the square -when is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 3. If E be any point in a rectangle, AE3 + ED8 = EB"... | |
 | Euclid - 1826 - 234 σελίδες
...angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC. The square... | |
 | Euclides - 1826 - 226 σελίδες
...angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC. The square... | |
 | Robert Simson - 1827 - 546 σελίδες
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right-angled triangle, having the right... | |
 | George Darley - 1828 - 190 σελίδες
...convenient aspect. ART. 47- " In any right-angled triangle the square described on the side opposite the right angle is equal to the squares described on the sides containing the right angle, taken together." This theorem, at the same time that it unfolds one of... | |
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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. 
