| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
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