# An algebraic addition-theorem for Weierstrass' elliptic function and nomograms

Aplikace matematiky (1979)

- Volume: 24, Issue: 5, page 372-381
- ISSN: 0862-7940

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topMatsuda, Akira. "An algebraic addition-theorem for Weierstrass' elliptic function and nomograms." Aplikace matematiky 24.5 (1979): 372-381. <http://eudml.org/doc/15113>.

@article{Matsuda1979,

abstract = {A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation $u+v+w=0$, are constructed. In this case, a form of the addition-theorem for Weierstrass’ function involving no derivative is used.},

author = {Matsuda, Akira},

journal = {Aplikace matematiky},

keywords = {Weierstrass’ elliptic functions; addition theorem; Weierstrass' elliptic functions; addition theorem},

language = {eng},

number = {5},

pages = {372-381},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {An algebraic addition-theorem for Weierstrass' elliptic function and nomograms},

url = {http://eudml.org/doc/15113},

volume = {24},

year = {1979},

}

TY - JOUR

AU - Matsuda, Akira

TI - An algebraic addition-theorem for Weierstrass' elliptic function and nomograms

JO - Aplikace matematiky

PY - 1979

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 24

IS - 5

SP - 372

EP - 381

AB - A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation $u+v+w=0$, are constructed. In this case, a form of the addition-theorem for Weierstrass’ function involving no derivative is used.

LA - eng

KW - Weierstrass’ elliptic functions; addition theorem; Weierstrass' elliptic functions; addition theorem

UR - http://eudml.org/doc/15113

ER -

## References

top- Tannery J., Molk J., Éléments de la Théorie des Fonctions Elliptiques, Tome 3, (Paris 1893), Chelsea Publishing Company, New York, 1972, 96-98. (1972) Zbl0296.33003
- Matsuda A., Morita K., Geometric Transformations between General Concurrent Charts and Tangential Contact Charts, Aplikace matematiky, 21 (1976), 237-240, 250. (1976) Zbl0368.65065MR0416078
- Epstein L. I., Nomography, Interscience Publishers, Inc., New York, 1958, 118-129. (1958) Zbl0084.11803MR0107990

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