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" 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. "
A Complete Epitome of Practical Navigation, and Nautical Astronomy ... - Σελίδα 37
των John William Norie, J. W. Saul - 1917 - 595 σελίδες
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 240 σελίδες
...right-angled triangle equal to ? 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 rightangled triangle, right-angled at C, then will the square D, described on AB,...

HIGHER ARITHMETIC; OR THE SCIENCE AND APPLICATION OF NUMBERS; COMBINING THE ...

JAMES B. THOMSON - 1847
...contains 25 sq. ft. Hence, the square described on the 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 , or 5, must be the hypothenuse...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...10342656. 30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following...

Elementary Course of Geometry ...

Charles William Hackley - 1847 - 103 σελίδες
...XXVI. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle A ; then will the square of the hypothenuse BC be equal to the sum of the squares of the...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 σελίδες
...THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle C ; then will the square of the hypothenuse AB be equal to the sum of the squares of the...

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...

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 A,...

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: With, Practical Applications

George Roberts Perkins - 1850 - 320 σελίδες
...THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the rightangle C ; then will the square of the hypothenuse AB be equal to the sum of the squares of the...

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...




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