 | University of Sydney - 1900 - 646 pàgines
...of the perpendicular distance of the line from A. ANALYTICAL GEOMETRY. TWO HOURS. 1. Find a forrmila for the area of a triangle in terms of the coordinates of its angular points. Find the area of the triangle formed by the lines .c + 2y=0, j- — oy = 0 and x =... | |
 | Eldred John Brooksmith - 1901 - 368 pàgines
...the lines 3^ + 4^ + 7 = 0 and 4^-3^+1 =o which make angles of 60° with the former line. 4. Find an expression for the area of a triangle in terms of the coordinates of its angular points. Find the area of the triangle whose sides are y - x, y = 2x, x +y -6 = 0. 5. Form the... | |
 | Walter William Rouse Ball - 1901 - 564 pàgines
...Cavalieri's name in connection with the tion of the use of logarithms into Italy, and have his discovery of the expression for the area of a triangle in terms of the spherical excess. He was one i most influential mathematicians of his time, but reputation rests mainly... | |
 | University College, Galway - 1903 - 440 pàgines
...if the mid-points of AB, BC, CD, DA lie on a circle, then AC, BD are perpendicular. 5. "Write down the expression for the area of a triangle in terms of the coordinates of its angular points. Prove that the area of the triangle formed by the lines x = a, y = b, z/b + y/a = 1... | |
 | Preston Albert Lambert - 1907 - 110 pàgines
...a^ = x3 — xv -Z)3-D2 = xi P3 = (zs - xj (yl + + O2 - zs) O = xi ~ xv 33 This expression for double the area of a triangle in terms of the coordinates of its vertices is readily reproduced by arranging the coordinates of the vertices in order in two vertical... | |
 | Royal Military Academy, Woolwich - 1909 - 456 pàgines
...lines 3* + 4^ + 7 = o and 4x - 3^+ I = o which make angles of 60° with the former line. 4. Find an expression for the area of a triangle in terms of the coordinates of its angular points. Find the area of the triangle whose sides are y = x, y = 2x, x +y - 6 = 0. 5. Form... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 336 pàgines
...left of the line x + a=0. Similarly for equations of the form У + Ъ = 0. 52. Problem. To express the area of a triangle in terms of the coordinates of its vertices, the axes being rectangular. The area of the triangle PiP2.P3 is one half the product of a... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 344 pàgines
...left of the line x + a=0. Similarly for equations of the form y + b = 0. D 52. Problem. To express the area of a triangle in terms of the coordinates of its vertices, the axes being rectangular. The area of the triangle P]P2P3 is one half the product of a... | |
 | American Mathematical Society - 1911 - 698 pàgines
...Determinants. More than half of it is devoted to applications in the domain of elementary analytic geometry : The area of a triangle in terms of the coordinates of its vertices and in terms of the equations of its sides ; the product of the areas of two triangles in... | |
 | Great Britain. Board of Education - 1912 - 632 pàgines
...— 1y + 7 = 0 and 1x — 3y — 3 = 0 which make an angle of 45° with the line y — 2x. 2. Express the area of a triangle in terms of the coordinates of its vertices. Show that the ai-ea of the triangle formed by the lines ax2 4- 2bxy 4- cf1 = 0, y = mx 4-... | |
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Find an expression for the area of a triangle in terms of the coordinates of its angular points. 
