| Thomas Dick - Cosmology - 1850 - 684 pages
...branches of mathematical and physical science. That " a whole is greater than any of its parts,"—that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its rera%i#titf »Mes," are facts, the one deduced fiwqa ^fctasrvation or... | |
| 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... | |
| James Elliot - 1851 - 152 pages
...Draw a rectangle equal to any regular hexagon previously constructed. 136 PROPOSITION LXVI. THEOREM. The Square described on the Hypothenuse of a right-angled Triangle is equal to the Sum of the Squares described on the two other Sides. Let ABC be a rightangled triangle, and let AD be a square... | |
| 1851 - 382 pages
...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.... | |
| 1851 - 730 pages
...contained angles equal, prove that the triangles will be equal in every respect. 8. The square constructed on the hypothenuse of a right-angled triangle is equal to the sum of the squares constructed on the sides which contain the right angle. 9. If any point in the circumference... | |
| Justus Freiherr von Liebig - 1851 - 576 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, else why did the discoverer sacrifice... | |
| j. stevenson bushnan, m.d. - 1851 - 206 pages
...greater than its part; of the latter description we have an example in the proposition that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, and in all other mathematical truths that are not at once apparent. And,... | |
| 1851 - 716 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... | |
| 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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