 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...2Rw. Cor. 2.—The diameter is equal to the circumference divided by 3.14159, or D = — THEOREM XXII. The areas of two circles are to each other as the...the last theorem, it may be shown as before, that AB : oh = 2AG : 2ag. Hence, by squaring all the terms (Theo. VI, Book II), AB 2 :ab* = (2AG) 2 : (2a0)... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...their radii. Then o = wr, b = 7rs8 (p. 124, No. 1) . Therefore « = ^='l b irs2 s3 In other words, the areas of two circles are to each other as the squares of their radii. 10. How is the circumference, and also the area, of a circle changed if the radius... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...^r, b = irs2 (p. 124, No. 1). mu « rt Tl3' r2 Therefore - = — - = --• b TT.S- s3 In other words, the areas of two circles are to each other as the squares of their radii. 10. How is the circumference, and also the area, of a circle changed if the radius... | |
 | Horatio Nelson Robinson - 1888 - 372 pages
...hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...circumference. 425. COR. 2. The area of a circle equals IT times the square of its radius. 426. Con. 3. The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and PJ the radii, 427. COR. 4. Similar arcs,... | |
 | Thomas Newbigging - Gas manufacture and works - 1889 - 602 pages
...Royal . . . Medium . Demy EPITOME OF MENSURATION. Of the Circle, Cylinder, and Sphert. The areas of circles are to each other as the squares of their diameters. The diameter of a circle being 1, its circumference equals 8-1416. The diameter of a circle multiplied... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...Proposition 8. Theorem. 433. The circumferences of two circles are to each other as their radii, and the areas of two circles are to each other as the squares of their radii. Hyp. Let C and C' be the Oces, R and R' the radii, and S and S' the areas of the two... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...II. The hypotenuse is equal to the square root of the sum of the squares of the other two sides. III. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. IV. The base or perpendicular of a right-angled triangle... | |
 | William Barnet Le Van - Faucets - 1892 - 178 pages
...considerable in proportion to the diameter of the orifice closed by the valve; and since the areas of circles are to each other as the squares of their diameters, the area of the circle circumscribed by the outer border of the valve seat is materially larger than the... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...II. The hypotenuse is equal to the square root of the sum of the squares of the other two sides. III. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. IV. The base or perpendicular of a right-angled triangle... | |
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The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R 
