 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 σελίδες
...other, their common chord if produced will bisect their common tangent. §321 355. Exercise.— -I. The sum of the squares of two sides of a triangle...equal to twice the square of half the third side, plus twice the square of the median drawn to the third side. II. The difference of the squares of two... | |
 | Joe Garner Estill - 1896 - 186 σελίδες
...points of bisection of the arcs AB, BC, CD, DA. Show that PR is perpendicular to Q S. 6. Prove that the sum of the squares of two sides of a triangle is equal to twice the square of half the base increased by twice the square of the distance from the vertex to the bisection of the base. Apply... | |
 | Joe Garner Estill - 1896 - 168 σελίδες
...points of bisection of the arcs AB, BC, CD, DA. Show that PR is perpendicular to Q S. 6. Prove that the sum of the squares of two sides of a triangle is equal to twice the square of half the base increased by twice the square of the distance from the vertex to the bisection of the base. Apply... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 σελίδες
...half the third side, plus twice the square of the median drawn to the third 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 the third side. MD Hint.—The median... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 σελίδες
...half the third side, plus twice the square of the median drawn to the third 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 the third side. MD Hint. — The median... | |
 | George Albert Wentworth - 1896 - 68 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. 345. If any chord is drawn... | |
 | George D. Pettee - 1896 - 272 σελίδες
...the square of half the third side plus twice the square of the median upon this side2. The difference of the squares of two sides of a triangle is equal to twice the third side multiplied by the projection of the median line upon it. -B EDC Appl. Prove 1. AC* + AB... | |
 | George Albert Wentworth - 1899 - 498 σελίδες
...theorems may be included in one theorem. Let the student explain. PROPOSITION XXXI. THEOREM. 377. 1. TJie sum of the squares of two sides of a triangle is equal...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... | |
 | George Albert Wentworth - 1899 - 278 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. D In the triangle ABC, let... | |
 | George Albert Wentworth - 1899 - 500 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... | |
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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. 
