 | Andrew Ure - Industrial arts - 1867 - 1144 pages
...enthusiasm, without any compunction one hundred oxen in commemoration of his discovery, that a square on the hypothenuse of a rightangled triangle, is equal to the sum of the two squares on the base and the perpendicular. Indeed such a cruel result of a scientific discovery... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...subspecies or class will be common to every individual of the class. For example : " the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides," is a proposition equally true of every right-angled... | |
 | Charles Knight - Encyclopedias and dictionaries - 1867 - 530 pages
...hypothesis of the problem or theorem in question. Thus, in the proof of the theorem, " the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the aides," the formation of the right-angled triangle and of the squares is not technically... | |
 | Samuel H. Winter - 1867 - 468 pages
...determining the sum of the interior angles of any rectangular figure. 15. The semicircle described upon the hypothenuse of a right-angled triangle is equal to the sum of the semicircles described upon the sides. 16. If AB, CD be the opposite sides of a quadrilateral figure... | |
 | Aaron Schuyler - Logic - 1869 - 180 pages
...that it is not proved. Suppose a student should fail in his attempt to demonstrate the proposition that, The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other sides, would his failure invalidate the proposition? Aberrancies of this kind... | |
 | Aaron Schuyler - Logic - 1869 - 182 pages
...unwarranted. 2. Classes. Suppose a student should fail in his attempt to demonstrate the proposition that, The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other sides, would his failure invalidate the proposition? Aberrancies -of this... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...HYPOTHENUSE, and KL the perpendicular. 411. By Geometry there may be readily demonstrated the following 1. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Thus, Let h denote the hypothenuse, 6 the base, and p the perpendicular... | |
 | James Bates Thomson - Business mathematics - 1884 - 344 pages
...What is the square root of 28$ ? SOLUTION.— 28f = ^ and y^Ip = V" = 623. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares of the base and altitude. f Altitude = \/Hypothenuse* — Base'. FORMULA.— •< Hypothenuse... | |
 | Robert Aitkin Bertram - Homiletical illustrations - 1885 - 908 pages
...desire of any kind. If 1 am proving that any two sides of a triangle are greater than the third side, or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, I am engaged in a sort of transcendental process, in this respect altogether... | |
 | New York (State) School for the deaf, White Plains - 1885 - 942 pages
...is to be found, is the distance from the ground to the window. Now, it has been proved by geometry that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Of course, if the hypothenuse and one of the sides are known, the... | |
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Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice a hecatomb when he made out its proof ? 
