What is the use of continued proportion?
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I mean why was a separate term "continued proportion" created simply if $$a:b::b:d$$ Why could it just not have been called proportion?
Is there any bigger use of continued proportion at a bigger level hence a separate term "continued proportion" was given to it?
algebra-precalculus ratio
edited Nov 25 at 11:59
Martin Sleziak
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asked Nov 24 at 10:06
divyam sureka
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I mean why was a separate term "continued proportion" created simply if $$a:b::b:d$$ Why could it just not have been called proportion?
Is there any bigger use of continued proportion at a bigger level hence a separate term "continued proportion" was given to it?
algebra-precalculus ratio
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
asked Nov 24 at 10:06
divyam sureka
1
Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48
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favorite
up vote
0
down vote
favorite
I mean why was a separate term "continued proportion" created simply if $$a:b::b:d$$ Why could it just not have been called proportion?
Is there any bigger use of continued proportion at a bigger level hence a separate term "continued proportion" was given to it?
algebra-precalculus ratio
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
asked Nov 24 at 10:06
divyam sureka
1
I mean why was a separate term "continued proportion" created simply if $$a:b::b:d$$ Why could it just not have been called proportion?
Is there any bigger use of continued proportion at a bigger level hence a separate term "continued proportion" was given to it?
algebra-precalculus ratio
algebra-precalculus ratio
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
asked Nov 24 at 10:06
divyam sureka
1
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
asked Nov 24 at 10:06
divyam sureka
1
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
edited Nov 25 at 11:59
Martin Sleziak
44.6k7115269
44.6k7115269
asked Nov 24 at 10:06
divyam sureka
1
asked Nov 24 at 10:06
divyam sureka
1
asked Nov 24 at 10:06
divyam sureka
1
1
Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48
add a comment |
Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48
Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48
add a comment |
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Such proportions arise naturally all the time, at all levels of mathematics and its applications. Because of this, in the past somebody studied them and gave them a name because it made it easier to discuss them. Enough people found it useful that the name survived.
– Paul Sinclair
Nov 24 at 18:12
What does the notation $a:b::b:d$ mean? – $a, b, c, d, ldots$ are “in continued proportion” if $a:b = b:c = c:d = ldots$, is that what your question is about? What exactly would you call “proportion” instead of “continued proportion”? – In its present form, your question is unclear to me.
– Martin R
Nov 25 at 11:48