 | James Bates Thomson - 1848 - 434 σελίδες
...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 - 1849 - 156 σελίδες
...? 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 - 1849 - 372 σελίδες
...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... | |
 | James Bates Thomson - 1850 - 352 σελίδες
...principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. (Leg. I Y. 11., Euc. I. 47. ) Thus, if the base of the triangle ABC, is 4 feet, and the perpendicular 3 feet... | |
 | Charles Davies - 1850 - 398 σελίδες
...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... | |
 | Daniel Leach - 1851 - 280 σελίδες
...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.... | |
 | 1851 - 382 σελίδες
...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... | |
 | Johann Georg Heck - 1851 - 712 σελίδες
...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... | |
 | 1851 - 716 σελίδες
...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... | |
 | Charles Davies - 1852 - 438 σελίδες
...worthy of particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
