 | Clement Vavasor Durell - 1909 - 244 ページ
...sides of a triangle and their adjacent corners are joined ; prove that the sum of the squares on the joining lines is equal to three times the sum of the squares on the sides of the triangle. 65. In the triangle ABC, AB=%, AC=6, BC=<); D is a point on /? /) A BC... | |
 | William Suddards Franklin, Barry MacNutt - 1910 - 436 ページ
...s-components are equal each to each. Therefore (i) The sum of the squares, Nu*, of all the velocities is equal to three times the sum of the squares of the x-components. Imagine the containing vessel to consist of two parallel walls, of area q. distant d... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 284 ページ
...three-fourths the sum of the squares of the sides. Ex. 295. The sum of the squares of the sides of a triangle is equal to three times the sum of the squares of the lines from the centroid to the vertices. PROPOSITION XLIV. THEOREM. 406. If from a point ivithout a... | |
 | William Suddards Franklin - 1916 - 624 ページ
...the z-components are equal each to each. Therefore The sum of the squares, Nu2, of all the velocities is equal to three times the sum of the squares of the x-components. Let us refer to this statement as (iii). Imagine the containing vessel to consist of... | |
 | 1852 - 492 ページ
...the points of contact of the inscribed and escribed circles in the opposite aides, is equal to Jive times the sum of the squares of the sides of the triangle. IV. QUEST. (1842); by Mr. ROBERT HOWARD, Huoley Bridge, near Heywood, Any two circles having their... | |
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A, and the adjacent angular points of the squares joined, the sum of the squares of the three joining lines is equal to three times the sum of the squares of the sides of the triangle. 
