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. 1764 Excerpt: ...But this is the Proportion of the protracted Arch to the Length of the natural Arch of the Meridian (1967, 1968.) And fince A D is the Length of the latter, AI will reprefent the former, viz. the enlarged meridional Arch, ufed in Mercators Chart. (1969.) 1975. Hence fince the Rectangle A I K C zz AI X ACry, or, ...
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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. 1764 Excerpt: ...But this is the Proportion of the protracted Arch to the Length of the natural Arch of the Meridian (1967, 1968.) And fince A D is the Length of the latter, AI will reprefent the former, viz. the enlarged meridional Arch, ufed in Mercators Chart. (1969.) 1975. Hence fince the Rectangle A I K C zz AI X ACry, or, (putting AI zz Z Zt zz ry, therefore r: /:: Z: y pr Radius is to the Tangent of the Courfe, as the protracted Arch or Degrees of Latitude is to the Arch of the Equator expreffmg the Longitude. 1976. Hence when the Rhumb or Spiral EL W interfectsthe Meridians at an Angle of 45 Degrees, we have r zz t; and' then z zz y; the Degrees of Latitude, therefore, in the protrafted Meridian of Mercator" s Qhart, are # Scale longitudF.s in failing upon a Courfe or Rhumb of 45. 1977. Becaufe r: x:: S: r (putting S for Secant of the Lati 1 v v r r S, v t r k. t S z.. Jude) therefore-=-, and fo--zz--ry (1970); and x r Xt / r, as iri Cafe of the Rhumb of 450, then Si--r yand if r = 1, as in the Canon of natural Sines, Tangent?, and Secants; then S k y; whence it appears, that the Fluxion of the Longitude (y) is equal to the Fluxion of a Space or Area conji/iing of Secants fucceffwely erecled. on the fluxianary Poims z of the Men-dian. 1978. Becaufe % is conftant in the Equation S j', we have S = j, or the Fluxion of the Longitude (y) will be as the variable Secant S; and fo the Sum of all the Fluxions or the Longitude itfelf will be as the Sum of all the Secants to any given Latitude. And4ience the Reafon why Mr. Wright took this Method to conftrucl: his Line of meridional Parts, Viz. by the conJlant Addition of the Secants, as they are found in the Canon. See his vulgar Errors in Navigation corrected where the nautical meridian Line firft made its Appearance. 1...
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Add this copy of A New And Comprehensive System Of Mathematical to cart. $69.26, new condition, Sold by Booksplease rated 3.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2015 by Arkose Press.
Add this copy of A New and Comprehensive System of Mathematical to cart. $69.86, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2015 by Arkose Press.
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