...nation. cegk +ce + ck -^k + 1 egk+e+k .4x8x1x1 + 4x8 + 4x1 + 1x1 + 1 . 70 proximation, fa. Stc. i 3. The ratio of the diameter of a circle to its circumference is nearly as lOOOOOOOOO to 3141 592653 ; required approximating values of this ratio in smaller numbers ' Ans. The...

...this revolution, and we have C=2*r, whence?" : C : : 1 : <r; that is, the ratio of I to <ir, which is the ratio of the diameter of a circle to its circumference, is given, being equal to the ratio of the given straight lines Zr and C. This curve has been described...

...value of a ratio of which the terms may be too large to be easily managed in computation. For instance, the ratio of the diameter of a circle, to its circumference, is known to be very nearly as 100000 to 314159, and to get a series of other ratios more simply expressed,...

...radius which is perpendicular to a chord, 42 2 E2 . . - .. 1 I -% • f '» 4 iiy RS Giibert, Phiia. bisects both the chord, and the arc which it subtends....circumference by half the diameter. § 4. The study of Solid Angles, and Polyedrons, requires some preliminary explanations. When a given straight line meets a...

...circumference. A polygon is said to be thus inscribed, when all its vertices lie in the circumference : and ii is said to be circumscribed about the circle, when...circumference by half the diameter. § 4. The study of Solid Angles, and Pulyedrons, requires some preliminary explanations. When n given straight line mects a...

...it touches the circle. Arcs of circles are used to measure angles ; the vertex of the angle being nt the centre of the circle. An angle is said to be inscribed...circumference by half the diameter. § 4. The study of Solid Angles, and Polyedrons, requires some preliminary explanations. When a given straight line meets a...

...represent 95,000,000 of miles, and the aiameter of the circle c E 190,000,000; and as the proportion of the diameter of a circle to its circumference is nearly as 7 to 22, the circumference of the sun's circle, c DE, will be about 597,000,000 of miles, through which he behoved...

...contrived by which the truth of the deduction may be verified by superposition. As another example, the ratio of the diameter of a circle to its circumference, is as 1 to 3•1415...to any number of places of decimals, according to the degree of accuracy required....

...is well established, every body will recognize it ; just as every school boy admits the fact, that the diameter of a circle to its circumference is nearly as 7 to 22; although he may be entirely ignorant of the geometrical demonstration that proves it. Every farmer...

...well as the solidity of any sphere is equal to two-thirds of its circumscribing cylinder; and that tho ratio of the diameter of a circle to its circumference is nearly as 1 to 22. It is to him that we owe the demonstr.i tion of the fundamental property of the lever, ami...