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 Βιβλία Βιβλία The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises - Σελίδα 231
των William Frothingham Bradbury - 1879 - 374 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 580 σελίδες
...ACDE, is eqii: 1 to the sum of the two squares AFGB and EH 1C : or, in other words, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides containing the right angle. To illustrate this proposition by arithmetic,... ## The Analectic Magazine...: Comprising Original Reviews, Biography ..., Τόμος 8

1816
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would... ## A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 σελίδες
...square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules, is evident.... ## The Annals of Philosophy, Τόμος 8

1816
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper length... ## The Analectic Magazine ...: Comprising Original Reviews, Biography ..., Τόμος 8

Washington Irving - 1816
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would... ## Annals of Philosophy, Or, Magazine of Chemistry, Mineralogy ..., Τόμος 8

1816
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a proper length... ## Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...algebraic formula (a + 6)x(a— 6) = (a3— 63) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. . 109. Demonstration. Let ABC (fig. 109) be a triangle... ## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - 1825 - 224 σελίδες
...algebraic formula (a + 6) X (a — &)= (a»— b') (Alg. 34). THEOREM. f / 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. 109. Demonstration. Let ABC (fig. 109) be a triangle... ## Elements of the History of Philosophy and Science: From the Earliest ...

Thomas Morell - 1827 - 560 σελίδες
...discoveries. His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an ecstacy of... ## Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...the study of geometry with wonderful ardour and success. It was he who discovered that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. To express his joy and gratitude for this great discovery, we are...