Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 18
oin-cides with the initial line and whose vertex is the point 8. The co-ordinates of a point are (5, —J. Give threeother ways of denoting the same point. AREA OF A TRIANGLE. Art. 11. The system of rectangular co-ordinates affords aready method of expressing the area of any triangle whenthe… … Fig. 5. B = (OE, BE); of C = (OF, CF); say,(- *, /), (*, /)and (%, y). Now the figure ABCFD is made up of the trapezoidsABED, and BCFE; and if from ABCFD we take ACFDthe triangle ABC remains, that is, ABED + BCFE - ACFD = ABC. . . (a) By geometry, area ABED = \ (AD + BE) DE.But AD = /, BE = /, and…
Geometry, Analytic · Calculus
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