Memoranda Mathematica a Synopsis of Facts Formulae And Methods in Elementary
Memoranda Mathematica a Synopsis of Facts Formulae And Methods in Elementary
W P Walter Percy Workman
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38) : (a) A TSr III A TCS" III A rCS', and the marked angles are equal. (13) A TS'r III A TGS III A T'CS. (3) Z CnG = rt. Z = Z (7m^. Hence a good method of drawing the normal and therefore the tangent at any point on the curve. RECTANGULAR HYPERBOLA 27. Metrical Properties. (1) The eccentricity = V2. (2) Diameters which make equal angles with either axis are equal. (3) Diameters which are conjugate are equal. (4) Diameters which are at rt. Angles are equal. (5) Pa= CD^ Pg, i. E. P is the centr...e of the O GirGg. [See26(l)(/3). ] (6) PN^ = AN. A'N, QY^ = PV. VP\ 23. Angle Properties. , . . , ( equal ), (1) Conjugate diameters make |, pi, ^^tary$ *S^^' with either f^-f*j. (2) The angle between any two diameters = Z between their conjugates. GEOMETRICAL CONICS 147 (3) LQPT^LQpP. (4) Any chord of a R. H. Subtends equal (or supple- mentary) angles at the end of any diameter. (5) If a R. H. Circum- scribe a A it passes through the orthocentre, and the locus of its centre is the N. P. C. Ofthe A.
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