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Llibres Llibres 21 - 30 de 64 sobre Find an expression for the area of a triangle in terms of the coordinates of its....
" Find an expression for the area of a triangle in terms of the coordinates of its angular points. "
The Principles of Analytical Geometry ... - Pągina 72
per Henry Parr Hamilton - 1826 - 326 pągines
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A Synopsis of Elementary Results in Pure Mathematics: Containing ...

George Shoobridge Carr - 1886 - 935 pągines
...4035 л/(.г-лО*+ (y~yj+ 2 (xx) (yy) cos ». PBOOF.— By (Fig. 7), Eue. I. 47, and (702). Area A of a triangle in terms of the coordinates of its angular points a^y^ ж2у2> ж»Уз4036 A = i {дчу>— J»yi + .F, i/s— ^Sy2 + æод— æод} . PROOF. —...
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An Elementary Treatise on Conic Sections and Algebraic Geometry ...

George Hale Puckle - 1887 - 379 pągines
...length vf the perpendicular from the point (x = 3, y = u on the line (Sy-7* + 9=0). 3x5-7x3+9 3 Z = 53i. To find the area of a triangle in terms of the coordinates of the angular points, the axes being rectangular. Let the 'three points be (xy), (x'y), (x"y"). The equation...
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Elements of Plane Analytic Geometry, Volum 25

John Daniel Runkle - 1888 - 344 pągines
...these coordinates are proportional to .••' and y'. . k y'x"-x'y" * "'" I x'y'"-y'x'"' Areas. 7. To find the area of a triangle in terms of the coordinates of its vertices. o FIG. 6. First, when the axes are rectangular. Let A(x'y'), B(x"y"), C(x'"y'") be the vertices....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...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, such that AE=\AB,...
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The elements of coordinate geometry: The equations and properties of ..., Part 1

William Briggs, George Hartley Bryan - 1891 - 220 pągines
[ El contingut d’aquesta pągina estą restringit ]
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Mensuration

William Shaffer Hall - 1893 - 62 pągines
...AF= 8; what is the area of the entire figure? AREA OF POLYGONS BY THE METHOD OF COORDINATES. § 30. To find the area of a triangle in terms of the coordinates of its angular points. FIG. 10. Two intersecting straight lines are regarded as the lines of reference and are called axes....
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An Elementary Treatise on Analytical Geometry: With Numerous Examples

W. J. Johnston - 1893 - 425 pągines
...the following steps : The del/ = 2 (- 25) + 5 (- 56) - 4 (- 163) = —50 — 280 + 652 = 3«. § 22. To find the area of a triangle in terms of the co-ordinates of its vertices. Y _ Let the vertices be AtayJ, B(x2y2), C(x3ys) Through А, В, С draw IIя to the axes....
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Proceedings of the Edinburgh Mathematical Society, Volums 11-12

Edinburgh Mathematical Society - 1893
...and on transformation to the other systems we readily obtain the above expressions. 4. To find tlie 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...
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An Elementary Treatise on Analytical Geometry: With Numerous Examples

W. J. Johnston - 1893 - 425 pągines
...beginners justifies this innovation. The generality of the usual trapezium proof of the formula for the area of a triangle in terms of the co-ordinates of its vertices is invalid without a more detailed examination than is usual of the consequences of the convention...
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Examination Papers

Queen's University (Kingston, Ont.) - 1899
...through a given point. Queen's University Ej-aminationt : Aprü, 1900. HONOURS. Conies, I. 1. Determine the area of a triangle in terms of the coordinates of its vertices. 2. (a) Obtain the standard equation of a line ; and explain the geometrical meaning of the...
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