Memoranda Mathematica a Synopsis of Facts Formulae And Methods in Elementary

Cover 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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