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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. "
Second-year Mathematics for Secondary Schools - Page 306
by Ernst Rudolph Breslich - 1916 - 348 pages
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 pages
...three angles of any triangle taken together are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum and difference. The sides of a triangle are proportional to the sines of their...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...three angles of any triangle, taken together, are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum, and difference. The sides of a triangle are proportional to the sines of...
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 pages
...are related to each other as the squares of the contiguous sides. 19. The sum of the squares of any two sides of a triangle is equal to twice the square of the line drawn from the vertex of the angle which the sides contain to the middle point of the opposite...
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Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 pages
...coincides with the middle of the straight line which joins the two fixed points. 109. 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 medial line of this last side on its direction....
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...rectangle of the sum and the difference of two lines is equal to the difference of their squares. 3°. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side, increased ly twice the square of the line drawn from the middle of the third side...
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A Synopsis of Elementary Results in Pure and Applied ..., Volume 1, Part 1

George Shoobridge Carr - Mathematics - 1880
...(p—q). [П. 12, 13, The following cases are important : — (i.) When p = q, 62+c2 = 2q*+2d2; ie, the sum of the squares of two sides of a triangle is equal to twice the square of half the base, together with twice the square of the bisecting line drawn from the vertex. (ii.) When...
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A Synopsis of Elementary Results in Pure Mathematics: Containing ...

George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...(pq). [II. 12, 13. The following cases are important : — (i.) When p = q} Ъ*+с* = 2ç2+2tf ; ie, the sum of the squares of two sides of a triangle is equal to twice the square of half the base, together with twice the square of the bisecting line drawn from the vertex. (ii.) When...
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Calendar of Dalhousie College and University

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...
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A Text-book of Geometry

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...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

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...
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