Annual Report

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Seite 155 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Seite 350 - It may be of interest to give a short description of the methods now employed in compiling plans.
Seite 345 - I have the honour to submit the following report upon the operations of the...
Seite 76 - A crew which can pull at the rate of nine miles an hour, finds that it takes twice as long to come up a river as to go down ; at what rate does the river flow ? 20.
Seite 86 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Seite 77 - To inscribe a regular polygon of fifteen sides in a given circle. Find by (47) the arc AC equal to a sixth of the circumference, and by (49) the arc AB equal to a tenth of the circumference, and the chord BC will be a side of the polygon required. For J - A = ^ PROBLEM XXXVII.
Seite 86 - EXERCISES. 1. Describe a circle passing through a given point and touching a given circle at a given point.
Seite 72 - Two men together can do a piece of work in 2 days. How long will it take each to do the work alone, if it takes one 3 days longer than the other?
Seite 1 - General may allow, but not exceeding two dollars per mile of township outline or section line surveyed, may be made for the determination of the astronomical direction of the lines of the survey. ' The Committee submit the same for approval.
Seite 77 - IF two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact.

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