A Practical Application of the Principles of Geometry to the Mensuration of Superficies And Solids. Being the Third Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges

Cover A Practical Application of the Principles of Geometry to the Mensuration of Superficies And Solids. Being the Third Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges
A Practical Application of the Principles of Geometry to the Mensuration of Superficies And Solids. Being the Third Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges
Jeremiah Day
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What will be the expense of papering the sides of a room, at 10 jcents a square yard ; if the room be 21 feet long, 18 feet broad, and 12 feet high ; and if there be deducted 3 windows, each 5 feet by 3, two doors 8 feet by 4J, and one fire place 6 feet by 4| ? Ans. 8 dollars 80 cents.
• > 10. If a circular pond of water 10 rods in diameter be surrounded by a gravelled walk 8£ feet wide; what is the area of the walk? Ans. lfi± sq. rods. (Art 40.) Digitized by Google SUPERFICIES. - 25 IK If CD (
...Fig. 17.) the base of the isosceles triangle VCD, be 6Q feet, and the area 1200 feet; and if there he cut off, by the line LG parallel to CD, the triangle VLG, whose area is 432 feet; what are the sides of the latter triangle?
Ans. 30, 30, and 36 feet.
lSf. What is the area of an equilateral triangle inscribed in a circle whose diameter is 5&feet ?
Afts. 618.15 'sq. feet.
, 13. If a circular piece of land is enclosed by a fence, in which 10 rails make a rod m length; and if the field con- tains as many square rods, as there are rails in the fence j what is thfe value of the land at 130 dollars an acre ?


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