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Find the area of the triangle formed by joining the first three points in question 1. 5. A is a point on the axis of x and B a point on the axis of y ; express the co-ordinates of the middle point of AB in terms of the abscissa of A and the ordinate of...
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 10
de Isaac Todhunter - 1862 - 326 páginas
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## London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880
...-3010300 ; L tan. 35° 49' = 9-8583357; log. 3 = -4771213; L tan. 35° 49' 10' = 9-8583800. 14. Find an expression for the area of a triangle in terms of the sides. The sides of a triangle are in arithmetical progression, and its area is f ths of that of an...
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## the calcutta university calendar 1881-82

thacker spnk and co - 1881
...condition that three points may lie in a straight line, and interpret the resnlt geometrically. 3. Ohtain an expression for the area of a triangle in terms of the co-ordinates of its angnlar points. Find the area of the triangle inclnded hy the straight lines—...
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## Elementary text-book of trigonometry

Robert Hamilton Pinkerton - 1884 - 176 páginas
...o)(« - b)(s - c) (Art. 87) therefore 2 / „/„ = - 6csinA=- box -V*(«- a) (* — 6)(«- c) (3) an expression for the area of a triangle in terms of the sides. Ex. 1. The lengths of the sides containing the right angle of a right-angled triangle are 12...
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## Elements of Plane Analytic Geometry, Volume 25

John Daniel Runkle - 1888 - 344 páginas
...r', XOQ=ff, and the angle POQ = 0'—6; therefore, by Trig., Art. 146, (9). (a) 1 1 . To find tJie area of a triangle in terms of the polar Coordinates of its vertices. Let P (,•,0). (2(r',0'), R (r", 6") be the three vertices ; then Area PQR = POQ + QOR -...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...MATHEMATICS. [June, 1888 7. In an ellipse, if CD be a semi-diameter conjugate to CP, show that 8. Investigate an expression for the area of a triangle in terms of the coordinates of its three angular points. E, F, G, /if are points in the four sides of a square ABCD,...
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## Examinations Papers

1891
...— b) sin (c — a) + sin (x — c) sin (a — b) is independent of x, a, b, and c. 11. Establish an expression for the area of a triangle in terms of the lengths of its sides, and deduce an expression in terms of only the perimeter and the angles. 12. If...
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## Field Solutions on Computers

Stanley Humphries, Jr. - 1997 - 400 páginas
...for triangles. The 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...
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