 | George Salmon - Conic sections - 1852 - 329 pages
...through three consecutive points of the curve, and its centre is the intersection of perpendiculars at the middle points of the sides of the triangle formed by the points. But the lines joining the first and second, and the second and third points, are two consecutive... | |
 | George Salmon - Conic sections - 1855 - 376 pages
...[l>fi"(aa + cy - 6/3)} + \/ (cy"(«a + 6/3 - cy)} = 0, the equation of a conic touching the lines joining the middle points of the sides of the triangle formed' by the given tangents. If the conic touch a fourth given line, Aa + B/3 + Cy = 0, we must (p. 237) have the... | |
 | William Walton - Mechanics - 1858 - 294 pages
...jointed together at their extremities, are laid on a smooth horizontal table; and forces are applied at the middle points of the sides of the triangle formed by the rods, respectively perpendicular to them : to shew that, if these forces produce equilibrium, the strains... | |
 | Robert Henry Wright - Coordinates, Trilinear - 1865 - 174 pages
...6/3)} + V{C7* (aa + 6/3 - с7)} = 0, the equation indicating that the conic touches the lines joining the middle points of the sides of the triangle formed by the given tangents. Let Aa + Bß + Су = 0 be a fourth line. The locue of the center will be a right line... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 346 pages
...the origin to those points of the given line whose ordinates are — 1 and 19. 49. The lines joining the middle points of the sides of the triangle formed by the lines x — 5y-f-ll=0, I1x-\-Gy — 1=0, 50. Find the area of the quadrilateral whose vertices are... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...which bisects a given rectilineal angle is equidistant from the two lines containing the angle. 2. The three straight lines which join the middle points of the sides of a triangle divide the triangle into four triangles which are equal in all respects. 3. The four triangles... | |
 | Edward John Routh - Elastic rods and wires - 1891 - 428 pages
...jointed together at their extremities, are laid on a smooth horizontal table ; and forces are applied at the middle points of the sides of the triangle formed by the rods, and respectively perpendicular to them. Show that, if these forces produce equilibrium, the strains... | |
 | Euclid - Geometry - 1892 - 460 pages
...which joins the middle points of two sides of a triangle is equal to half the third side. 4. Shew that the three straight lines which join the middle points of the sides of a triangle, divide it into four triangles which are 'identically equal. 5. Any straight line drawn... | |
 | George Albert Wentworth - 1894 - 362 pages
...and its altitude is —^; and therefore its area is 49. Find the area included by the lines joining the middle points of the sides of the triangle formed by the lines x — 5y + 11 = 0, Пx + 6у — 1 = 0, x + y + 4 = 0. The intersection of x — 5 у +ll = 0... | |
 | Edward John Routh - Elastic rods and wires - 1896 - 412 pages
...jointed together at their extremities, are laid on a smooth horizontal table; and forces are applied at the middle points of the sides of the triangle formed by the rods, and respectively perpendicular to them. Show that, if these forces produce equilibrium, the strains... | |
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Any straight line drawn from the vertex of a triangle to the base is bisected by the straight line which joins the middle points of the other sides of the triangle. 
