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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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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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...EUCLID 1. Parallelograms on equal bases and between the same parallels are equal to one another. 2. 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....

Sabbath Evening Readings on the New Testament, Τόμος 12

John Cumming - 1861
...first book of Euclid, that 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 — I remember I could prove that step by step ; but I have been so much out of the way of mathematics...

Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - 1861 - 336 σελίδες
...angles to each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 σελίδες
...— THEOREM. 237. 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 ABC be a right-angled 'triangle, having the right angle at A ; then the square described on the...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 490 σελίδες
...— THEOREM. 237. 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 ABC be a right-angled triangle, having the right angle at A; then the square described on the hypothenuse...

Responsions

University of Oxford - 1863
...other, the base of that which has the greater angle shall be greater than the base of the other. 5. 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....




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