 | Frederick Augustus Griffiths - 1839 - 348 pages
...angles acute. The 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
...angles acute. The 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... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...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... | |
 | George Shoobridge Carr - Mathematics - 1880
...[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.... | |
 | George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...[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.... | |
 | Dalhousie University - 1887 - 206 pages
...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
...the square of 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...product of the third side by the projection of the median upon that side, A MD In the triangle ABC let AM be the median, and MD the projection of AM upon... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...Subtracting (2) from (1) in (333), we have AB'-AC'= 2BCXED. Hence, the difference of the squares on 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 case in which AD falls without the triangle ABC, or... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...squares of the two numbers increased by twice their product. Proposition 28. Theorem. 333. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by tiuice the square of the median upon that side. B. EDO Hyp.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...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 sides of a triangle...product of the third side by the projection of the median upon the third side. MD Hint.—The median BD divides ABC into two triangles, one acute angled... | |
| |
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. 
