 | Education - 1833 - 412 pages
...to three given straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending...angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained... | |
 | Euclid - 1835 - 540 pages
...all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAG ; the square described upon the side... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...angled triangle, the square which is described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side... | |
 | John Playfair - Geometry - 1836 - 148 pages
...has all its angles right angles. PROP XVII. THEOR. In any right angled triangle, the square ivhich is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side... | |
 | Mathematics - 1836 - 488 pages
...any parallelogram, are equal to one another. XLVII. In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. XLVIII. If the square described upon one of the sides of a triangle, be equal to the squares described... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...(and :. a square.) PROPOSITION XLVII. ii Theorem. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. In the construction of the figure it is necessary to show that GA is on the same right line with AC... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angles right angles. PROPOSITION XL VII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAG ; the square described upon the side... | |
 | Edward Tagart - Logic - 1837 - 156 pages
...to enclose a space. If I were asked how I know that in any rightangled triangle the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle, my first answer might be, that I knew it by studying the 47th of the first book of Euclid. But the... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...I. THEOR. IN any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC; the square described upon the hypotenuse... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...found according to the (Prop. 47, 1st. Book EuclidJ. In any rightangled triangle, the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles, the sum of the squares of the two short sides... | |
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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. 
