 | Daniel Cresswell - Geometry - 1819 - 446 pages
...straight line 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...described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters. For, (S. 76.... | |
 | James Hardie - Freemasonry - 1819 - 364 pages
...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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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... | |
 | Euclides - 1821 - 294 pages
...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... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...to the diameter of another square, the former square shall be the double of the latter. LXXVII. TH. 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. BOOK II. PROP.... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...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"... | |
 | Richard Carlile - Free thought - 1825 - 920 pages
...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... | |
 | Euclid - 1826 - 234 pages
...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 pages
...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 - Trigonometry - 1827 - 546 pages
...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... | |
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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. 
