Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 229
Fig. 73. 214 PLANE ANALYTIC GEOMETRY. If ^ = 0, ? = 00; if ^ = 00, r = 0. This curve has theinitial line as an asymptote to its infinite branch. 165. The Logarithmic iSph^al. This spiral is the locus generated by a point so moving thatthe ratio of its vectorial angle to the logarithm of its… … To construct the sjnral. Let a = 2, thenr = 29is the particular spiral we wish to construct. HIGHER PLANE CURVES. 215 Values of ^ Corresponding Values of r 0 a 1 1 = 57.°3 u 2 2 = 114.°6 ii 4 3 = 171.°9 a 8 4 _ 229. °2 a 16 00 i( 00 - 1 = - 57.°3 (I .5 - 2 = - 114. °6 i( .25 - 3 = - 171. °9 ii .125…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-359-250.webp)