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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. "
Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises - Σελίδα 229
των William Frothingham Bradbury - 1879 - 374 σελίδες
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On the improvement of society by the diffusion of knowledge. The philosophy ...

Thomas Dick - 1850 - 964 σελίδες
...of mathematical and physical »cience. 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 reu»*'*! «des," are facts, the one deduced frov Jlnxvation or simple...

The Logic and Utility of Mathematics,: With the Best Methods of Instruction ...

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...

An elementary course of practical mathematics, Μέρος 2

James Elliot - 1851 - 152 σελίδες
...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...

Annual Report of the Commissioners ...

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...

A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

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....

Medical Times, Τόμος 23

1851 - 730 σελίδες
...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...

Young Scientist: A Practical Journal for Amateurs, Τόμος 1

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...

Iconographic Encyclopaedia of Science, Literature, and Art, Τόμος 1

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...

miss martineau & her master

j. stevenson bushnan, m.d. - 1851 - 206 σελίδες
...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,...

Familiar Letters on Chemistry: In Its Relations to Physiology, Dietetics ...

Justus Freiherr von Liebig - 1851 - 576 σελίδες
...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...




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