A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 224
s which fall upon the diagonals of the rect-i angle on the axes are equal, and a and a are supplementary. A B 3. In the hyperbola in general, the condition ; = -:— is met only when the cos a: sma two diameters, as G F and DE Fig. 212, coincide and fall on the asymptote.Hence, in the hyperbola,… … (c) In the hyperbola, in general, there are no equal {finite) conjugate diameters ; hut,in the equilateral hyperbola, any pair of conjugate diameters are equal each to each.The conjugate diameters of the equilateral hyperbola find their analogues in thediameters of a circle. 4. Making A2 = B^ in…
Geometry, Analytic · Calculus
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![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-319-211.webp)
