Mathematical terminology
Hi,
I have a question about mathematical terminology. Could somebody help me?
I have to translate the following Italian expressions:

1) "fascio di rette proprio" (set of straight lines that pass through a point);
2) "fascio di rette improprio" (set of parallel straight lines).

I translated them "proper bundle of straight lines" and "improper bundle of straight lines".
Could it work?

Thank you, bye

Question

Mathematical terminology
Hi,
I have a question about mathematical terminology.  Could somebody help me?
I have to translate the following Italian expressions:

1) "fascio di rette proprio" (set of straight lines that pass through a point);
2) "fascio di rette improprio" (set of parallel straight lines).

I translated them "proper bundle of straight lines" and "improper bundle of straight lines".
Could it work?

Thank you, bye

Answer

Lines that pass through the same point, are called "concurrent lines"

Lines that are always parallel, are called "parallel lines"

Answer

Добрий вечір, Франческо.
sheaf/bundle of lines proper
sheaf/bundle of lines improper
set = assortimento; collezione; raccolta; complesso; insieme (di cose affini); serie; servizio (di piatti, ecc.)
Вітання з України!

Answer

This isn't an answer, but:

1) In physics, but NOT in mathematics, light rays are straight lines, and group of light rays passing through the same point is called a "pencil."

2) In mathematics, the word "sheaf" (and many other everyday works like "group" and "ring" and "germ") has a specialized technical meaning. It belongs to topology, not geometry. It doesn't apply and shouldn't be used here. For the meaning, which I don't understand, see http://en.wikipedia.org/wiki/Sheaf_(mathematics)

Answer

Qui:
http://books.google.com.ua/books?id=ESSKAAAAQBAJ&pg=PA246&lpg=PA246&dq=%22bundle+of+lines%22&source=bl&ots=W2_QDzNE5v&sig=gESkoLcjEZj27ekDS62HLxr_46k&hl=uk&sa=X&ei=Op05VNHRCaWBywOj7YLYAw&ved=0CGIQ6AEwDQ#v=onepage&q=%22bundle%20of%20lines%22&f=false
Qui:
http://scientific_en_ru.academic.ru/15037/bundle_of_lines

Answer

I agree with Andi's answer. We use words like "bundle" and "sheaf" for physical things, like a bundle of clothes, or a sheaf of wheat. In mathematics, these words just sound comical.

Don’t miss out on the opportunity to learn a language from the comfort of your own home. Browse our selection of experienced language tutors and enroll in your first lesson now!