2012, ISBN: 1231239654

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****. This historic book may have numerous typos and missing… Plus…

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****. This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: . Cos x Cos yi-Sin x Sin yi = cos x cosh y-i sin x sinh y, we have u = cos x cosh y, v =-sin x sinh y (2); and therefore Ma/cos x vsjain. x=l (3); -2/cosh 2y + i/smh y = 1 (4). iv Fio. 12. In order to avoid repetition of the values u and v, arising from the periodicity of cos x and sin x, we confine z, in the first instance, to lie between the axis of y and a parallel UCGCU to this axis at a distance from it equal to Tt (Fig. 12). If we draw a series of parallels to the y-axis within this strip, we see, from equation (3), that to each of these will belong half of a hyperbola in the w-plane (Fig. 13), having its foci at the fixed points F and G, which are such that OF = OG = 1. Thus, for example, if in the 2-plane FP = ir and FQ = then to the parallels LPL, NQN correspond the two halves LPL, NQN of a hyperbola whose transverse axis is PQ = V2. To the parallel MAM, which bisects the strip, corresponds the axis of v (which may be regarded as that hyperbola of the confocal system which has its transverse axis equal to 0); and to the parallels KFK and UGU, which bound the strip, correspond the parts KFK and UGU of the M-axis, each regarded as a double line (flat hyperbola). Again, if we draw parallels to the z-axis across the strip, to each of these will correspond one of the halves of an ellipse belonging to a confocal system having F and G for common foci. Thus to BRDSC and BRDSC equidistant from the z-axis correspond the two halves BRDSC and BKDSC of the same ellipse whose semi-axes are cosh y and sinh y. In particular, to FPAQG on the x-axis itself corresponds the double line (flat ellipse) FPAQG. Thus, to the whole of the first parallel strip between KOK and UU corresponds uniquely the whole of the w-plane. Hence, if we confine ourselves to this strip, .<

2012, ISBN: 1231239654

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missing … Plus…

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: . Cos x Cos yi-Sin x Sin yi = cos x cosh y-i sin x sinh y, we have u = cos x cosh y, v =-sin x sinh y (2); and therefore Ma/cos x vsjain. x=l (3); -2/cosh 2y + i/smh y = 1 (4). iv Fio. 12. In order to avoid repetition of the values u and v, arising from the periodicity of cos x and sin x, we confine z, in the first instance, to lie between the axis of y and a parallel UCGCU to this axis at a distance from it equal to Tt (Fig. 12). If we draw a series of parallels to the y-axis within this strip, we see, from equation (3), that to each of these will belong half of a hyperbola in the w-plane (Fig. 13), having its foci at the fixed points F and G, which are such that OF = OG = 1. Thus, for example, if in the 2-plane FP = ir and FQ = then to the parallels LPL, NQN correspond the two halves LPL, NQN of a hyperbola whose transverse axis is PQ = V2. To the parallel MAM, which bisects the strip, corresponds the axis of v (which may be regarded as that hyperbola of the confocal system which has its transverse axis equal to 0); and to the parallels KFK and UGU, which bound the strip, correspond the parts KFK and UGU of the M-axis, each regarded as a double line (flat hyperbola). Again, if we draw parallels to the z-axis across the strip, to each of these will correspond one of the halves of an ellipse belonging to a confocal system having F and G for common foci. Thus to BRDSC and BRDSC equidistant from the z-axis correspond the two halves BRDSC and BKDSC of the same ellipse whose semi-axes are cosh y and sinh y. In particular, to FPAQG on the x-axis itself corresponds the double line (flat ellipse) FPAQG. Thus, to the whole of the first parallel strip between KOK and UU corresponds uniquely the whole of the w-plane. Hence, if we confine ourselves to this strip, .<

2012, ISBN: 1231239654

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missing text. Purchasers c… Plus…

[EAN: 9781231239650], Neubuch, [PU: Rarebooksclub.com, United States], Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: . Cos x Cos yi-Sin x Sin yi = cos x cosh y-i sin x sinh y, we have u = cos x cosh y, v =-sin x sinh y (2); and therefore Ma/cos x vsjain. x=l (3); 2/cosh 2y + i/smh 'y = 1 (4). iv Fio. 12. In order to avoid repetition of the values u and v, arising from the periodicity of cos x and sin x, we confine z, in the first instance, to lie between the axis of y and a parallel UCGCU to this axis at a distance from it equal to Tt (Fig. 12). If we draw a series of parallels to the y-axis within this strip, we see, from equation (3), that to each of these will belong half of a hyperbola in the w-plane (Fig. 13), having its foci at the fixed points F and G, which are such that OF = OG = 1. Thus, for example, if in the 2-plane FP = ir and FQ = then to the parallels LPL, NQN correspond the two halves LPL, NQN of a hyperbola whose transverse axis is PQ = V2. To the parallel MAM, which bisects the strip, corresponds the axis of v (which may be regarded as that hyperbola of the confocal system which has its transverse axis equal to 0); and to the parallels KFK and UGU, which bound the strip, correspond the parts KFK and UGU of the M-axis, each regarded as a double line (flat hyperbola). Again, if we draw parallels to the z-axis across the strip, to each of these will correspond one of the halves of an ellipse belonging to a confocal system having F and G for common foci. Thus to BRDSC and BRDSC equidistant from the z-axis correspond the two halves BRDSC and BKDSC of the same ellipse whose semi-axes are cosh y and sinh y. In particular, to FPAQG on the x-axis itself corresponds the double line (flat ellipse) FPAQG. Thus, to the whole of the first parallel strip between KOK and UU corresponds uniquely the whole of the w-plane. Hence, if we confine ourselves to this strip, .<

ISBN: 1231239654

Taschenbuch, [EAN: 9781231239650], Lightning Source UK Ltd, Lightning Source UK Ltd, Book, [PU: Lightning Source UK Ltd], Lightning Source UK Ltd, 54071011, Genres, 60447011, Architektur,… Plus…

Taschenbuch, [EAN: 9781231239650], Lightning Source UK Ltd, Lightning Source UK Ltd, Book, [PU: Lightning Source UK Ltd], Lightning Source UK Ltd, 54071011, Genres, 60447011, Architektur, Technik & Ingenieurswesen, 66034011, Belletristik, 56797011, Biografien & Erinnerungen, 58173011, Business, Karriere & Geld, 65981011, Comics, Mangas & Graphic Novels, 62991011, Computer & Internet, 54072011, Eltern & Familie, 56047011, Fachbücher, 57127011, Fantasy & Science Fiction, 65677011, Freizeit, Haus & Garten, 65140011, Geschichte, 64617011, Gesundheit, Geist & Körper, 59283011, Jugendbücher, 53817011, Kalender, 61180011, Kinderbücher, 64085011, Kochen & Genießen, 68333011, Krimis & Thriller, 59670011, Kunst & Fotografie, 54127011, Lernen & Nachschlagen, 55555011, Liebesromane & -erzählungen, 56535011, Medizin, 53965011, Musiknoten, 65108011, Outdoor, Umwelt & Natur, 63925011, Recht, 58645011, Reise & Abenteuer, 54682011, Religion & Esoterik, 69028011, Sachbücher, 65636011, Schwul & Lesbisch, 58390011, Sport & Fitness, 64226011, Unterhaltung & Kultur, 52044011, Fremdsprachige Bücher, 208623031, Taschenbuch, 208621031, Format (binding_browse-bin), 366250011, Refinements, 52044011, Fremdsprachige Bücher<