The Measure of the Circle, Perfected in January, 1845

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 edition. Excerpt: ...how many square inches there are in each strip, and how many square inches there are in the 36 strips, in proportion of square measure, and also in proportion of circular measure. When you work this, and understand it, you will see the difference between square measure and circular measure. Suppose a box be 2 feet long; how wide and how high must it be to contain half a yard square? commencing at the base and running to the extreme of the 12 inches, the same as a barber's pole is painted. I find the circle of the mean circumference, which is 9 inches: --9 9.5 3 ) 85.5 ( 28.5, the circle. Now I square the circle. 28.5 28.5 1425 2280 570 812.25 This is what the string rises, 4 X 4 = 16; 812.25 16 24 6 Answer: The string will be 359 feet, 7.4162 inches. A and B bought 300 acres of land for 600 dollars; each paid 300 dollars; A says to B, " Let me have my choice in the land, and my land shall cost me 75 cents an acre more than yours." The sum is 65 to 95. Answer: A has 121 f8; B has 178. To extract the circle or globe, after the manner of the square or cube root: Take any number of figures, say 448; divide the given number by 7, and add twice the quotient to the given number; extract the square root of the same, and it will be the diameter. 7 ) 448 ( 64 64 448 42 2 128 28 128 576 (24, diameter. 28 4 0 44 ) 176 176 To show the area of a circle, and its square: Cut a piece of wire 38 inches long, form a circle, and the diameter will be 12 inches, and its area will be 112. Cut another piece 38 inches long, form a perfect square, whose sides will be 9 inches each, and whose area will be 90J inches. You will see by this the difference of square and circular measure. The same length of wire formed into a circle measures in area 112...show more

Product details

• Paperback | 38 pages
• 189 x 246 x 2mm | 86g
• Miami Fl, United States
• English
• black & white illustrations
• 1236625412
• 9781236625410