Sidebilder
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ExAMPLE 4.

Suppose a water-course to be the line between the lands of A and B, as under specified; which they agree to straiten by a line from the point C to D. Query, which must pay the other, and for how much land?

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o cut off from a triangle any part thereof, by a line issuing jom an angular point to the oppositeside of the triangle.

RULE.

As the area of the triangle,
Is to the side the division is to fall on ;
So is the part to be cut off,
To its proportion of that side,

ExAMPLE.

Admit the triangle ABC, to contain 650 square perches, and 290 of them is required to be cut off towards A, by a line issuing from the point C, on to the line AB, which is 40 perches long.

Sq. Pr. Pr. Sq. Pr. As 650 . . 40 : : 290 . . 17.84 perches from A to D. C

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