 | Elias Loomis - 1851 - 300 páginas
...tangent intersects the axis of Y, we make x—0, which gives or y> PROPOSITION V. — PROBLEM. (43.) Given the base of a triangle, and the sum of the squares of its sides, to determine the triangle. Let AB be the base of the proposed triangle. Bisect AB in... | |
 | Elias Loomis - 1859 - 320 páginas
...tangent intersects the axis of Y, we make x=0, which gives or y, PROPOSITION V. — PROBLEM. (43.) Given the base of a triangle, and the sum of the squares of its sides, to determine the triangle. Let AB be the base of the proposed triangle. Bisect AB in... | |
 | George Holmes Howison - 1869 - 622 páginas
...circles, what does the equation S — £2<S'/' = 0 represent, A being arbitrary? II. CIRCULAR LOCI. 1. Given the base of a triangle and the sum of the squares on its sides: to find the locus of its vertex. Taking the base and a perpendicular through its middle point for axes, putting 2*11 = the given sum... | |
 | George Holmes Howison, Joseph Ray - 1869 - 622 páginas
...same as pole, and axis of x as initial line. II. CIRCULAR LOCI. 1. Given the base of a triangle ami the sum of the squares on its sides: to find the locus of its vertex. Taking the base and n perpendicular through its middle point for axes, putting 2*'^ — the given sum... | |
 | 1882 - 376 páginas
...square on half the sum of the lines together with double the square on half their difference. 5. Being given the base of a triangle and the sum of the squares described on its sides, find the locus of its vertex, and state when the locus becomes impossible.... | |
 | 1883 - 248 páginas
...square on half the sum of the lines together, with double the square on half their difference. 5. Being given the base of a triangle, and the sum of the squares described on its sides, find the locus of its vertex, and state when the locus becomes impossible.... | |
 | De Volson Wood - 1890 - 372 páginas
...and (0, i). 39. Required the radius of the circle x* + y*+2xycos eo—hx —icy —0. - " 2 sin oi ~" 40. Find the locus of the middle points of chords...triangle, find the locus of a point P, such that PA = PB + PC. 43. Find the polar equation to the cirrle, the initial line being a tangent. 44. Show that... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...be any point on its circumference, shew that the sum of the squares on AP, BP is constant. HSE L 30. Given the base of a triangle, and the sum of the squares on the sides forming the vertical angle ; find the locus of the vertex. ' 31. ABC is an isosceles triangle... | |
 | Euclid - 1904 - 488 páginas
...if P be any point on its circumference, shew that the sum of the squares on AP, BP is constant. 30. Given the base of a triangle, and the sum of the squares on the sides forming the vertical angle ; find the locus of the vertex. 31. ABC is an isosceles triangle... | |
 | University of Calcutta - 1908 - 562 páginas
...equal parts. 2 7. Construct a square, having given the difference between a 6 diagonal and a side. 8. Given the base of a triangle and the sum of the squares of its 6 sides, find the locus of its vertex. 9. Prove that the three perpendiculars drawn from the... | |
| |
Given the base of a triangle and the sum of the squares on its sides: to find the locus of its vertex. 
