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Βιβλία Βιβλία 11 - 20 από 189 για The square described on the hypothenuse of a rightangled triangle is equal to the....
" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 369
των James Bates Thomson - 1847 - 422 σελίδες
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831
...a series of which, did he know the previous propositions, he might be convinced that the square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the sides. CHAPTER XV. On Axioms. GEOMETRY, then, is the application of strict logic...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1832 - 348 σελίδες
...\ i° *™ f 6d 45 ) ( xjC 21o t , - j To find the other two sides. * Demonstration. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (theo. 14) ; hence the log. of (4CMi32) — the log. of 5C2, and by the nature...

On the Improvement of Society by the Diffusion of Knowledge: Or, An ...

Thomas Dick - 1833 - 442 σελίδες
...of mathematical and physical science. That " a whole ia 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 remaining sides," are facts, the one deduced from observation or simple...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 σελίδες
...demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that...

The Works of Thomas Dick, Τόμοι 1-4

Thomas Dick - 1836
...of mathematical and physical science. That " a whole is greater than any of its parts," — that u the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple...

Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836
...a series of which, did he know the previous propositions, he might be convinced that the square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the sides. CHAPTER XV. On Axioms. GEOMETRY, then, is the application of strict logic...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 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...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 252 σελίδες
...degrees, and 4=90 degrees. 10. 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 triangle, right angled at C, then will the square D described on AB...

On the mental illumination and moral improvement of mankind

Thomas Dick - 1840
...Square Root ; but no figure or explanation is given, excepting the following foot-note. " The square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under. 44 Miles. GLASGOW EDINBURGH...

Elements of geometry

Adrien Marie Legendre - 1841 - 235 σελίδες
...algebraic formula (a +6) X (a — 6) = (a2 — 62) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a rightangled triangle is equal to the sum of the squares described upon the two otter sides. fig 109. Demonstration. Let ABC (fig. 109) be a triangle...




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