 | Archibald Patoun - 1734 - 568 σελίδες
...any Arch in one Circle, is to the Chord, Sine, Tangent, &V. of the fame Arch in another Circle, juft as the Radius of the one is to the Radius of the other ; for 'tis plain, the greater the Radius is, the greater is the Circle defcribed by that Radius, and... | |
 | Mungo Murray - 1754 - 490 σελίδες
...the fine of the complement angle PC Z. Now the degrees of one circle are to the degrees of another, as the radius of the one is to the radius of the other, as was proved in part firft. Therefore & C, the radius of the equinoctial is to Z z, the radius of... | |
 | Robert Gibson - 1811 - 580 σελίδες
...it on the point C ; then is AB the tangent, and AC is the secant of the angle 6', as before. Because the sine, tangent, or secant of any given arc in one...sine, tangent, or secant of any arc is proportional to thr sine, tangent, or secant of a like arc, as the radius of tlie given arc is to 10.000000, the radius... | |
 | 1821 - 708 σελίδες
...tangent, ffc. of any arch in one circle, is to the chord, sine, tangent, fyc. of Ike same arch in another, as the radius of the one is to the radius of the other. Let ABD, abd, he two circles ; BD, hd, two arches of these circles, equal to one another, or .consisting... | |
 | Nathaniel Bowditch - 1826 - 764 σελίδες
...tangent, %(c. of any arch in one circle, is to the chord, sine, tancent, t(c. of the tame arch in another, as the radius of the one is to the radius of the other. Let ABD, abd, be two circle« ; BD, bd, two arches of these circles, equal to one another, or consisting... | |
 | Nathaniel Bowditch - 1846 - 854 σελίδες
...tangent, Sfc., of any arc in one circle, is to the chord, sine, tangent, ifc^ of the same arc in another, as the radius of the one is to the radius of the other. Let ABD, abd, be two circles ; BD, bd, two arcs of these circles, equal to one another, or consisting... | |
 | Gerardus Beekman Docharty - 1867 - 474 σελίδες
...turns, one passing through the equator, the other through a parallel of latitude. Hence, by Geometry, as the radius of the one is to the radius of the other section, so is the circumference of the one to the circumference of the other ; or, as any arc of the... | |
 | Nathaniel Bowditch - 1888 - 704 σελίδες
...tangent, &c., of any are in one circle, is to the chord, sine, tangent, (&Y., of the same arc in another, as the radius of the one is to the radius of the other. Let ABD, abd, be two circles ; BD, M, two arcs of these circles, equal to one another, or consisting... | |
 | 1892 - 680 σελίδες
...around the earth in that latitude. The circumference of one circle is to the circumference of another as the radius of the one is to the radius of the other, or the length of degrees in the circumference of one circle is to the length of degrees in the circumference... | |
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... these three proportions, for DE we put its equal be, for AE put ab, and for AD put ac, they will become AB : ab : : AC : ас, and AB : ab : : BC : be, and AC : ac : : BC : be. 