Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 44
wo intercepts.A B F Again: To put Ax + By = C in the normal form,x cos /? + y sin /? = p, it is necessary to express cos /?,sin /? and p in terms of A, B and C (Fig. 18). It hasbeen shown above that the intercepts OM and ON (MN C C being the line) are — and — • Since Z OMN = Z PON = ft in the right… … Whence - ^ + B„ substituting these values in the normal equation,Ax By = C VA2 + B2 VA2 + B2 VA^+B2 • (Ei)* * The sign of s/A2 + B2 is readily determined from the sign of C in A* + By = C, for p = ^^ + ^ and since p is essentially positive, C and Va2 + B2 must have the same sign that this equa-tion…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![An illustration from [Electric engineering.] (1902)](https://img.insideoutlibrary.com/img/200/ia-electricengineer02inte-241-125.webp)
![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-161-90.webp)