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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. "
A Theoretical and Practical Arithmetic: Designed for Common Schools and ... - Σελίδα 203
των Daniel Leach - 1853
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1852 - 408 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 be equal...

ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...right-angled triangle, right-angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. FGI H D Haying described a square on each of the three sides, let fall from A, on the hypothenuse,...

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 σελίδες
...triangle, right•angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. 1 GEOMETRY. Having described a square on each of the three sides, let fall from A, on the hy•...

An Introduction to Arithmetic: Containing the Most Useful Rules in Common ...

James Gray - 1854 - 108 σελίδες
...18-78 feet. Given any two sides of a right-angled triangle, to fiiid the other side. The square of the hypothenuse, or longest side, is equal to the sum of the squares of the other two sides ; therefore the diifercnce of the squares of the hypothenuse, and either...

A Theoretical and Practical Arithmetic ...

Daniel Leach - 1857
...longest side, or the one opposite the right angle, is called the hypothenuse, and A Ba''' the ofher two sides the base and perpendicular. 293. The square...hypothenuse, or longest side, is equal to the sum of the squares de" scribed on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft.,...

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 355 σελίδες
...or circumferences. FIG. 12. 6. 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. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares...

The Mathematical Monthly, Τόμος 1

John Daniel Runkle - 1859
...BT JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal to the sum of the squares described on the other two sides. Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two...

The Pasha papers, epistles of Mohammed Pasha, tr. into Anglo-Amerian [really ...

William Wirt Howe - 1859
...confusion to the fact that 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 ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented...

Higher Arithmetic : Or, The Science and Application of Numbers ..., Βιβλίο 6

James Bates Thomson - 1860 - 422 σελίδες
...29. 30. 207*?. 34967 A371 578. The square described on the hypothenu.se 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 Irii/h of Ms principle may be seen from, the following...

Iconographic Encyclopedia

J.G. Heck - 1860
...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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