A polygon is said to be thus inscribed, when all its vertices lie in the circumference : and it is said to be circumscribed about the circle, when all its sides are tangent to the circumference. The ratio of the diameter of a circle to its circumference,... Pantology - Σελίδα 329των Roswell Park - 1847 - 580 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
| Charles Butler - 1814 - 528 σελίδες
...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... | |
| 1825 - 330 σελίδες
...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... | |
| John Radford Young - 1835 - 304 σελίδες
...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,... | |
| Roswell Park - 1841 - 722 σελίδες
...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... | |
| Roswell Park - 1841 - 624 σελίδες
...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... | |
| Roswell Park - 1844 - 678 σελίδες
...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... | |
| Thomas Dick - 1799 - 392 σελίδες
...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... | |
| William Ellis - 1847 - 152 σελίδες
...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.... | |
| 1852 - 596 σελίδες
...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... | |
| Elihu Rich - 1854 - 890 σελίδες
...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... | |
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