 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...the medians of a triangle is equal to 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.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 1070. If in rectangle ABCD a perpendicular is... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 1070. If in rectangle ABCD a perpendicular is... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...of the squares of the other two. 174 PROPOSITION XLI. THEOREM 338. I. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side. n. The difference of the squares... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 1070. If in rectangle ABCD a perpendicular is... | |
 | Dublin city, univ - 1873 - 382 pages
...two squares : (252;*+ 2oz + 13), (162? - гцх Ч- 58). MR. BUKNSIUE. 1 3. The difference between the squares of the sides of a triangle is equal to twice the rectangle under the base, and the distance of the foot of the perpendicular on the base from its middle... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 1070. If in rectangle ABCD a perpendicular is... | |
 | 1905 - 1094 pages
...segments of one Is equal to the product of the segments of the other. 7. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the medium upon that -side. 8. Two mutually equiangular... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...192 §§235,236 198 Proposition 20. Squares of Two Sides 236. Theorem. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side, increased by twice the square of the median upon it. The difference between the squares... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...one of those sides and the projection of the other side upon it. 12. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side, increased by twice the square of the median upon it. 13. The difference between the squares... | |
| |
The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side. 
