 | Dalhousie University - 1887 - 206 pages
...a limit to the magnitude of the square : but if divided externally there is no limit. Shew why. 2. The sum of the squares of two sides of a triangle is equal to twice the sum of the squares of half the other side and of the corresponding median. Prove. 3. One circle cannot... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...lutlf 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, A MD In the triangle ABC... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...AE'. QED 334. COR. Subtracting (2) from (1) in (333), we have AB'-AC'=:2BCxED. Hence, 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. Let the student prove the... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...Conclusion : Since ABC is any oblique-angled triangle, etc. Corollary I. The sum of the squares of any two sides of a triangle is equal to twice the square of half the third side, increased by twice the square of the median to that side. Corollary II. The difference... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...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 this... | |
 | Joe Garner Estill - 1896 - 186 pages
...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 this... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...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 is 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...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 D. Pettee - Geometry, Modern - 1896 - 272 pages
...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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...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... | |
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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. 
