Curve - Revision history

Lfox at 04:06, 23 April 2024

2024-04-23T04:06:04Z

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	When viewed on Google Maps, the road near my house is not a line. It is an unbounded curve, but it is not straight.		When viewed on Google Maps, the road near my house is not a line. It is an unbounded curve, but it is not straight.

			== Applications of rational curves ==
			They are useful in some engineering applications. This video https://www.youtube.com/watch?v=jG4DYZ5uuE0 gives a few examples.

	== See also ==		== See also ==

Lfox: /* Line */

2024-02-14T04:50:45Z

Line

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	== Line ==		== Line ==
	A '''line''' is a straight curve, which is long enough that its boundaries can be ignored. Straightness is a property that can be ~~recognized~~ perceptually, and also through [[Riemannian geometry\|more sophisticated means]].		A '''line''' is a straight curve, which is long enough that its boundaries can be ignored. Straightness is a property that can be measured perceptually, and also through [[Riemannian geometry\|more sophisticated means]].

	Lines are one of the central concepts of [[classical geometry]].		Lines are one of the central concepts of [[classical geometry]].

Lfox: /* Line */

2024-02-14T04:50:13Z

Line

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	== Line ==		== Line ==
	A '''line''' is a straight [[curve]]. Straightness is recognized perceptually.		A '''line''' is a straight curve, which is long enough that its boundaries can be ignored. Straightness is a property that can be recognized perceptually, and also through [[Riemannian geometry\|more sophisticated means]].

	Lines are one of the central concepts of [[classical geometry]].		Lines are one of the central concepts of [[classical geometry]].

	Unlike standard mathematics, the concept of a line in Objective Mathematics refers to real things, and real things have finite thicknesses and are never completely straight.		Unlike standard mathematics, the concept of a line in Objective Mathematics refers to real things, and real things have finite thicknesses and are never "completely" straight. (I don't think the idea of "completely" straight even makes sense. I am using the term in the negative, to inform the reader that this faulty concept of standard mathematics doesn't apply.) Furthermore, lines don't actually go on forever; like everything else, they are limited in size.

			=== Examples ===
			If I put my eye really close to the table, the edge of the piece of paper there is a line.

			=== Non-examples ===
			A pencil viewed from a few meters away is not a line. It is a straight curve, but its length is not long enough that its boundaries can be ignored (in most contexts. I guess.) It is a segment.

			When viewed on Google Maps, the road near my house is not a line. It is an unbounded curve, but it is not straight.

	== See also ==		== See also ==

Lfox at 04:08, 14 February 2024

2024-02-14T04:08:38Z

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	A '''curve''' is an [[solid\|entity]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>		A '''curve''' is an [[solid\|entity]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>

			== Line ==
			A '''line''' is a straight [[curve]]. Straightness is recognized perceptually.

			Lines are one of the central concepts of [[classical geometry]].

			Unlike standard mathematics, the concept of a line in Objective Mathematics refers to real things, and real things have finite thicknesses and are never completely straight.

	== See also ==		== See also ==

Lfox at 22:24, 3 February 2024

2024-02-03T22:24:43Z

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	A '''curve''' is an [[solid\|entity]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>		A '''curve''' is an [[solid\|entity]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>

			== See also ==

			* [[Point]]
			* [[Surface]]
			* [[Entity]]

	== References ==		== References ==

Lfox at 05:29, 21 January 2024

2024-01-21T05:29:21Z

← Older revision		Revision as of 05:29, 21 January 2024
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	A '''curve''' is a [[solid]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>		A '''curve''' is an [[solid\|entity]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>

	== References ==		== References ==

Lfox at 04:41, 21 January 2024

2024-01-21T04:41:06Z

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	A '''curve''' is a [[solid]] of [[nill]] breadth and depth.		A '''curve''' is a [[solid]] of [[nill]] breadth and depth.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref>

			== References ==

Lfox: Created page with "A '''curve''' is a solid of nill breadth and depth."

2024-01-21T04:40:23Z

Created page with "A '''curve''' is a solid of nill breadth and depth."

New page

A '''curve''' is a [[solid]] of [[nill]] breadth and depth.