 | James Bates Thomson - Arithmetic - 1848 - 434 pages
...contains 25 sq. ft. Hence, the syitffre described on Hie hypothenuse of any right-angled triangle, is equal to the sum of the squares described on the other two sides. OBS. Since the square of the hypothenuse BC, is 25, it follows that the ^/ 25, or 5, must be the hypothenuse... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...? 26. If you describe a square on the hypotenuse of a right-angled triangle, will it be equivalent to the sum of the squares described on the other two sides ? 27. What is the circumference of a circle? Radius? Arc? Chord? Segment? 28. What is an inscribed... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall from... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...be produced, the exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides of a triangle be equal to the squares described on the other two sides of it ; the angle contained by those two sides is a right... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...equal to twice as many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. In every... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...equal to twice as many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained bj these two sides is a right angle. 3. In every... | |
 | Charles Davies - Logic - 1850 - 398 pages
...prove that the square Example, described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
 | 1851 - 382 pages
...have an angle equal to a given angle, . •I. If the square described upon one of the sides _ 1C 3 of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by those two sides is a right angle, . . 3. If a straight line be divided into... | |
 | Daniel Leach - Arithmetic - 1851 - 280 pages
...called the hypothenuse, and A Eas6' the other two sides the base and perpendicular. longest side , is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft.., the base 6 ft., and the perpendicular 8 ft. 102:z=:100.... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
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If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 
