Use of the Differential Calculus for Finding the Points of Curved Lines That Touch An Infinity of Lines Given in Position, Whether Straight or Curved

Autor:	Salvatore J. Petrilli, Robert E. Bradley, C. Edward Sandifer
Rok vydání:	2015
Předmět:	Reflection (mathematics) Position (vector) media_common.quotation_subject Mathematical analysis Refraction (sound) Tangent Differential calculus Geometry Infinity Mathematics media_common
Zdroj:	Science Networks. Historical Studies ISBN: 9783319171142
Popis:	In Chapters 6 through 8 of the Analyse, l’Hopital studies various kinds of envelopes: curves that are tangent to all the members of some family of lines or curves. In Chapter 8, l’Hopital studies various envelopes that do not belong to the category of caustics by reflection or refraction. L’Hopital considers envelopes of parabolas, of circles, and of various families of straight lines.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3d6efc4682939591c3f75ef5649e85b https://doi.org/10.1007/978-3-319-17115-9_8 Zobrazit plný text záznamu