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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. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 120
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 422 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...

Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - 1849 - 144 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...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 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...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850
...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...

Minutes of the Committee of Council on Education, with Appendices, Τόμος 2

Great Britain. Committee on Education - 1850
...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...

Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850
...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...

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

Charles Davies - 1850 - 375 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...

Annual Report of the Commissioners ...

1851
...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...

A THEORETICAL AND PRACTICAL ARITHMETIC

DANIEL LEACH, WILLIAM D. SWAN - 1851
...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....

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

Johann Georg Heck - 1851
...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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