 | Charles Hutton - Mathematics - 1812 - 620 pages
...determine both these two Sides. PROBLEM VIII. HAVING given the Area, or Measure of the Space, of « Rectangle, inscribed in a given Triangle ; to determine the Sides of the Rectangle. PROBLEM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together with both the... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...Difference between the Base and Perpendicular (1 ) ; to determine both these two Sides. PROBLEM vni. HAVING given the Area, or Measure of the Space, of a Rectangle, inscribed in a given Triungle ; to determine the Sides of the Rectangle. PH0BLJBM PROBLEM DC Iw a Triangle, having given... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...Difference between the Base and Perpendicular 1) , to determine both these two Sides. PROBLEM VI1L HAVING given the Area, or Measure of the Space, of a Rectangle,...Triangle ; to determine the Sides of the Rectangle. PROBLEM PROBLEM 1X. ls a Triangle, having given the Ratio of the two Sides, together with both the... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...Difference between the Base and Perpendicular 1) ; to determine both the.«e two Side?. PROBLEM VIII. HAVING given the Area, or Measure of the Space, of a Rectangle,...in a given Triangle ; to determine the Sides of the Rerfnn'<;lp. PROBLKM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together with... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...are constant, the siiie ot" the inscribed square will be con. slant also. Prob. 3. Giving the area or space of a rectangle, inscribed in a given triangle, to determine the sides of the rectangle. Let ABC (fig. 11,) represent the given triangle, and EFGH the inscribed rectangle, the area of which... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...and Perpendicular (1) ; to determine both these two Sides. vni. HAVING given the Area, or Measurfi of the Space, of a Rectangle, inscribed in a given...Triangle ; to determine the Sides of the Rectangle. PROBLEM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together with both the... | |
 | John Radford Young - Conic sections - 1833 - 310 pages
...segment = 6M- c , c — 6s ca . , — ^- X a, and —3- X a = the less, hence the base =^r-2-, and thus we have theorems for all the sides. PROBLEM LX. Given...triangle ; to determine the sides of the rectangle. If o be put for the perpendicular, and 6 for the base of the triangle ; c for the area of the rectangle... | |
 | John Radford Young - Geometry, Analytic - 1835 - 298 pages
...side : the greater segment = — j^- X i, and — 5- X' o = the less, hence the base =^7,' and thus " we have theorems for all the sides. PROBLEM LX. Given...rectangle. If a be put for the perpendicular, and 6 for the base of the triangle ; c for the area of the rectangle ; and x for the length of the rectangle... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...between the base and perpendicular, to determine the triangle. PROBLEM VIII. Having given the area of a -rectangle inscribed in a given triangle ; to determine the sides of the rectangle. PROBLEM IX. In a triangle, having given the ratio of the two sides, together with both the segments... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...— ¿ ± 3¿ = 3 or — 4, of which values the last (being irrelevant) is to be rejected. 8. Having given the area, or measure of the space, of a rectangle,...rectangle. If a be put for the perpendicular, and Ъ for the base of the triangle ; с for the area of the rectangle, and x for the length of the rectangle... | |
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In a triangle, having given the ratio of the two sides, together with both the segments of the base, made by a perpendicular from the vertical angle, to determine the sides of the triangle. 
