| Euclid, C. P. Mason - Geometry - 1872
...the opposite angle, and the point of the obtuse angle. For the proof, we must know, — 1. That in a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other two sides. 2. That if a line be divided into any two parts, the square... | |
| H. Loehnis - 1876
...line. 3. ProTO that the diameter of a parallelogram divides it into two equal partg. 4. Show that in a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the other two sides. What is the length of the hypotenuse when the other sides are... | |
| Woolwich roy. military acad - 1880
...AB. Show that the difference of the angles DCA, DCB is equal to the difference of the angles A, B. 4. **In any right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the sides. ABCD is a quadrilateral having the diagonals AC, BD at right angles. Show... | |
| 1883
...Prove that parallelograms on equal bases and between the same parallels are equal in area. 4. Show **that in any right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other two sides. 5. Prove that if a right line be divided into any two parts,... | |
| Mathematical association - 1883
...than the sum of the squares on those lines by twice the rectangle contained by them. THEOR. 9. In a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the sides. [Alternative proofs:— (1) Euclid's. (2) By dividing two squares placed... | |
| Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...Ex. 1 8. Prove that of all rectangles of given perimeter the square is the greatest. THEOR. 9. In a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the sides. Let ABC be a triangle having the angle BAC a right angle : I 2 N& DLE... | |
| Mathematical association - Geometry, Plane - 1884
...Ex. 1 8. Prove that of all rectangles of given perimeter the square is the greatest. THEOR. 9. In a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the sides. Let ABC be a triangle having the angle BAC a right angle : I 2 0 LE then... | |
| Thomas Little Heath - Fermat's theorem - 1885 - 248 pages
...semi-determinate analysis was laid by Pythagoras. Not only did he propound the geometrical theorem that in a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the other two sides, but he applied it to numbers and gave a rule — of somewhat... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891
...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... | |
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