 | George Albert Wentworth - 1899 - 272 σελίδες
...as the projections of the chords on the diameter drawn from the same point. Ex. 275. The difference of the squares of two sides of a triangle is equal to the difference of the squares of the segments of the third side, made by the perpendicular on the third... | |
 | George Bruce Halsted - 1904 - 322 σελίδες
...sides of a triangle numerical expressions in terms of a unit, compute the three altitudes. Ex. 293. The sum of the squares of two sides of a triangle...side increased by twice the square of the median upon that side. [a2 +c2 — J62 = 2»««'J. Ex. 294. The difference of the squares of two sides of a triangle... | |
 | George Bruce Halsted - 1904 - 324 σελίδες
...increased by twice the square of the median upon that side. [a2+c2-i6' = 2W42J. Ex. 294. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the sect from the foot of that side's altitude to the [ft2 ^2-1 j = —... | |
 | George Albert Wentworth - 1904 - 496 σελίδες
...of half the third side increased by twice the square of the median upon that side. 2. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the median upon that side. In the triangle ABC, let... | |
 | George Bruce Halsted - 1904 - 313 σελίδες
...by twice the square of the median upon that side. [a 2 +c 2 -i6 2 = 2w* 2 ]. Ex. 294. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the sect from the foot of that side's altitude to the foot of its median... | |
 | Association of Teachers of Mathematics in the Middle States and Maryland - 1906 - 58 σελίδες
...angle equals the sum of the squares, etc. P19. In any triangle, the sum of the squares of any two sides is equal to twice the square of half the third side increased by twice the square of the median to the third side. P20. In any triangle, the product of any two sides is equal to the product of the... | |
 | Edward Rutledge Robbins - 1906 - 268 σελίδες
...half the third side increased by twice the square of the median upon that side. II. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the median upon that side. Given : A ABC ; median =... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...the projection of AB is AM= p. Then, a2 = A2 + (p - 6)2 = A2 + p2 + 62 - 2 bp = etc. 347. THEOREM. I. The sum of the squares of two sides of a triangle...side increased by twice the square of the median upon that side. II. The difference of the squares of two sides of a triangle is equal to twice the product... | |
 | George William Myers, William Rockwell Wickes, Ernest August Wreidt, Ernst Rudolph Breslich - 1907 - 90 σελίδες
...Using the notation and suggestions of Fig. 33, prove that the sum of the squares of two sides of any triangle is equal to twice the square of half the...side increased by twice the square of the median upon that side. 35. Using the same figure (Fig. 33), prove that the difference of the squares of two sides... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...half the third side increased by twice the square of the median upon that side. II. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the median upon that side. Given : A ABC ; median =... | |
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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. 
