 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...the other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
 | Francis Bowen - Logic - 1864 - 472 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | Francis Bowen - 1864 - 480 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...Theorem. — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | George Augustus Walton - Arithmetic - 1864 - 364 pages
...square upon the line AC is equal to the two squares upon AB and BC ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, RULE I. To find the hypothenuse, the base and perpendicular... | |
 | 1901 - 924 pages
...rvlit angle. The well-known property of the fcypothetmne, that the square described on it is •qua! to the sum of the squares described on the other two sides, is proved in the 47th proposition of the in -i book of Euclid's Elements. Hyracotherilim, a genus of... | |
 | United States. War Department - 1901 - 894 pages
...but one. Prove 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. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."... | |
 | M. Fennell - Teaching - 1902 - 294 pages
...I. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. (a) Right angle. (b) Triangle. .(«) Hypotenuse. • II. Presentation. i. Analysis of Enunciation.... | |
 | M. Fennell - Teaching - 1902 - 292 pages
...1. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,... | |
 | John Phin - 1902 - 464 pages
...proposition. It forms the famous fortyseveuth proposition of the first book of Euclid, that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares erected on the sides. But the doctrine by which he is most generally known is that of the... | |
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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. 
