...Cv i - ya) + *3 (yi / the vertices of the triangle may be read in any order. The formula expressing the area of a triangle in terms of the coordinates of its vertices may be applied to find the area of any polygon. Equations and Graphs of Straight Lines y =...

...equations will be useful for the derivation of Section 2.7. First, we shall find an expression for the area of a triangle in terms of the coordinates of its vertices. Consider a triangle lying in the xy plane with one vertex at the origin (Figure 2.10a).The...

...the algebra can become very cumbersome. A useful result is the Coordinates-Area Formula, which gives the area of a triangle in terms of the coordinates of its vertices. If these coordinates are (xi,yi), (*2,2/2) and (X3,2/3), then the area of the triangle is...

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[ El contingut d’aquesta pàgina està restringit ]

...2/i 1 sinw d and on transformation to the other systems we readily obtain the above expressions. 4. To find the area of a triangle in terms of the co-ordinates of its angular points. (1) Independently of the corresponding expression in Cartesians. If A' denote the area, since twice...

...oi+T^+ ...... is convergent if x is >1, divergent if x is = or <1. IV. CO-ORDINATE GEOMETRY. 1. Express the area of a triangle in terms of the co-ordinates of its angular points. The polar co-ordinates of three points are \3, ^J, (3, -^j, and ~ 3> 5 ) j find the rectangular co-ordinates...

...of indeterminate coefficients to find the sum of the series 1.2 + 2-3 + 3-4 + ...... + n (n+1). 7. Find the area of a triangle in terms of the co-ordinates of its angular points, and explain what the resulting sign indicates. Show that the area of the triangle contained by the...

[ El contingut d’aquesta pàgina està restringit ]

[ El contingut d’aquesta pàgina està restringit ]