What is the difference between a “ line ” and a “ straight line ”?
$begingroup$
Is there actually a difference between a line and a straight line ?
Is figure 1 a line . ?
.
Should I take help from " Euclid "?
I believe according to " Euclid " the above figure is a valid line.
geometry soft-question definition
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
$endgroup$
add a comment |
$begingroup$
Is there actually a difference between a line and a straight line ?
Is figure 1 a line . ?
.
Should I take help from " Euclid "?
I believe according to " Euclid " the above figure is a valid line.
geometry soft-question definition
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
$endgroup$
5
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50
add a comment |
$begingroup$
Is there actually a difference between a line and a straight line ?
Is figure 1 a line . ?
.
Should I take help from " Euclid "?
I believe according to " Euclid " the above figure is a valid line.
geometry soft-question definition
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
$endgroup$
Is there actually a difference between a line and a straight line ?
Is figure 1 a line . ?
.
Should I take help from " Euclid "?
I believe according to " Euclid " the above figure is a valid line.
geometry soft-question definition
geometry soft-question definition
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
edited Dec 11 '18 at 11:39
Batominovski
33.1k33293
33.1k33293
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
asked Dec 11 '18 at 11:31
NothingIsIrrationalNothingIsIrrational
242
242
5
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50
add a comment |
5
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50
5
5
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50
add a comment |
1 Answer
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According to Euclid, "A line is breadthless length" (Elements I, Definition 2, T. Heath translation). So your figure appears to be a line. Euclid says a straight line is "a line which lies evenly with the points on itself" (Def. 4). The exact meaning of this definition has been disputed, but it seems clear at least that, for Euclid, a line and a straight line are not the same thing.
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
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add a comment |
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1 Answer
1
active
oldest
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
According to Euclid, "A line is breadthless length" (Elements I, Definition 2, T. Heath translation). So your figure appears to be a line. Euclid says a straight line is "a line which lies evenly with the points on itself" (Def. 4). The exact meaning of this definition has been disputed, but it seems clear at least that, for Euclid, a line and a straight line are not the same thing.
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
$endgroup$
add a comment |
$begingroup$
According to Euclid, "A line is breadthless length" (Elements I, Definition 2, T. Heath translation). So your figure appears to be a line. Euclid says a straight line is "a line which lies evenly with the points on itself" (Def. 4). The exact meaning of this definition has been disputed, but it seems clear at least that, for Euclid, a line and a straight line are not the same thing.
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
$endgroup$
add a comment |
$begingroup$
According to Euclid, "A line is breadthless length" (Elements I, Definition 2, T. Heath translation). So your figure appears to be a line. Euclid says a straight line is "a line which lies evenly with the points on itself" (Def. 4). The exact meaning of this definition has been disputed, but it seems clear at least that, for Euclid, a line and a straight line are not the same thing.
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
$endgroup$
According to Euclid, "A line is breadthless length" (Elements I, Definition 2, T. Heath translation). So your figure appears to be a line. Euclid says a straight line is "a line which lies evenly with the points on itself" (Def. 4). The exact meaning of this definition has been disputed, but it seems clear at least that, for Euclid, a line and a straight line are not the same thing.
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
answered Dec 17 '18 at 6:24
Edward PorcellaEdward Porcella
1,4311511
1,4311511
add a comment |
add a comment |
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5
$begingroup$
I think what you draw is indeed a line, a curved line to be exact. However, it is conventional to say that a "line" refers to a straight line. If you have a curved line, then the convention is to use the word "curve." However, maybe other geometers can confirm or refute what I say.
$endgroup$
– Batominovski
Dec 11 '18 at 11:38
$begingroup$
May be of interest en.wikipedia.org/wiki/Line_(geometry) and en.wikipedia.org/wiki/Curve
$endgroup$
– cgiovanardi
Dec 11 '18 at 17:50