Basic Constructions - Revision history

DT Online: Added Template

2016-06-02T18:49:47Z

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			__TOC__


			=====Description=====

	Although modern [https://en.wikipedia.org/wiki/Technical_drawing '''drafting'''] aids and [https://en.wikipedia.org/wiki/Computer-aided_design '''Computer Aided Design'''] tools now do much of the work for us, an understanding of some basic [https://en.wikipedia.org/wiki/Compass-and-straightedge_construction '''Geometrical Construction'''] can be useful when setting out large shapes, [https://en.wikipedia.org/wiki/Lofting '''lofting'''] or working on site such as on a stage set for example.		Although modern [https://en.wikipedia.org/wiki/Technical_drawing '''drafting'''] aids and [https://en.wikipedia.org/wiki/Computer-aided_design '''Computer Aided Design'''] tools now do much of the work for us, an understanding of some basic [https://en.wikipedia.org/wiki/Compass-and-straightedge_construction '''Geometrical Construction'''] can be useful when setting out large shapes, [https://en.wikipedia.org/wiki/Lofting '''lofting'''] or working on site such as on a stage set for example.

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			=====Constructions=====

	{\| cellpadding="5"		{\| cellpadding="5"
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			{{Drawing Instruments Buyers Guide}}

	[[Category:Secondary]]		[[Category:Secondary]]
	[[Category:Geometry]]		[[Category:Geometry]]

DT Online at 15:37, 22 February 2015

2015-02-22T15:37:25Z

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	See the sections on '''[[Circles]]''' and '''[[Polygons]]''' for basic constructions relating to these shapes.		See the sections on '''[[Circles]]''' and '''[[Polygons]]''' for basic constructions relating to these shapes.
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	[[Category:Secondary]]		[[Category:Secondary]]
	[[Category:Geometry]]		[[Category:Geometry]]

DT Online at 15:36, 22 February 2015

2015-02-22T15:36:24Z

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	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* This construction exploits the fact that the radius of a circle can be stepped round its circumference 6 times.		* This construction exploits the fact that the radius of a circle can be stepped round its circumference 6 times.
	* Draw the arc of a circle of any convenient size from a point on a line such that it intersects the line as shown.		* Draw the arc of a circle of any convenient size, from a point on a line such that it intersects the line as shown.
	* Without altering the compasses or dividers, step off the same radius along the arc from its intersection with the line.		* Without altering the compasses or dividers, step off the same radius along the arc from its intersection with the line.
	* Join the point on the line to where this second arc intersects the first to give an angle of 60 deg.		* Join the point on the line to where this second arc intersects the first to give an angle of 60 deg.
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	\| '''Constructing a Perpendicular from a Point to a Line'''		\| '''Constructing a Perpendicular from a Point to a Line'''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* From the given point above the line ~~strikes~~ arcs to intersect the line as shown.		* From the given point above the line, strike arcs to intersect the line as shown.
	* Use these two ~~intersection~~ and repeat the construction as for ''Constructing a Perpendicular to Point on a Line''		* Use these two intersections and repeat the construction as for ''Constructing a Perpendicular to Point on a Line''
	* Join the point to the new intersections to construct the ~~perendicular~~.</span>		* Join the point to the new intersections to construct the perpendicular.</span>
	\| [[File:PerpPointToLine.png \|300px\|right]]		\| [[File:PerpPointToLine.png \|300px\|right]]
	\|}		\|}

DT Online: Added category links

2015-02-22T15:31:33Z

Added category links

← Older revision		Revision as of 15:31, 22 February 2015
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			[[Category:Secondary]]
			[[Category:Geometry]]

DT Online: Added content

2015-02-22T14:23:44Z

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DT Online: Added images and content

2015-02-22T12:03:40Z

Added images and content

← Older revision		Revision as of 12:03, 22 February 2015
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	\| '''Dividing a Line into Equal Parts'''		\| '''Dividing a Line into Equal Parts'''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* Draw a construction line at an angle from the end of the line to be divided.
	\| [[File:DividingLines.png\|~~350px~~\|right]]		* Set dividers to any convenient size and step off the required number of equal divisions along this construction line.
			* Join the last division on the construction line to the end of the line to be divided.
			* Draw lines parallel to it through each of the other points.
			* By [https://en.wikipedia.org/wiki/Similarity_(geometry)#Similar_triangles '''Similar Triangles'''] the original line is now divided into equal parts.
			</span>
			\| [[File:DividingLines.png\|300px\|right]]
	\|-		\|-
	\| '''Drawing Parallel Lines using Set Squares and Straight Edge '''		\| '''Drawing Parallel Lines using Set Squares and Straight Edge '''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* ### </span>
	\| [[File:DrawingParallelLines.png\|~~250px~~\|right]]		\| [[File:DrawingParallelLines.png\|300px\|right]]
	\|-		\|-
	\| '''Constructing a 60 deg Angle'''		\| '''Constructing a 60 deg Angle'''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* ### </span>
	\| [[File:60deg.png\|~~250px~~\|right]]		\| [[File:60deg.png\|300px\|right]]
	\|-		\|-
	\| '''Constructing a 90 deg Angle'''		\| '''Constructing a 90 deg Angle'''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* ### </span>
	\| [[File:90deg.png\|~~250px~~\|right]]		\| [[File:90deg.png\|300px\|right]]
			\|-
			\| '''Bisecting and Angle'''
			\| <span style="color:#B00000">
			* ### </span>
			\| [[File:BisectAngle.png\|300px\|right]]
			\|-
			\| '''Bisecting a Line'''
			\| <span style="color:#B00000">
			* ### </span>
			\| [[File:BisectLine.png\|300px\|right]]
			\|-
			\| '''Constructing Parallel Lines'''
			\| <span style="color:#B00000">
			* ### </span>
			\| [[File:ParallelLine.png\|300px\|right]]
	\|-		\|-
	\| '''~~###~~'''		\| '''Constructing a Perpendicular to a Line.'''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* ### </span>
	\| [[File:~~###~~\|~~350px~~\|right]]		\| [[File:PerpendicularToLine.png\|300px\|right]]
	\|-		\|-
	\| '''~~###'~~''		\| '''Constructing a Perpendicular from a Point to a Line''
	\| <span style="color:#B00000">		\| <span style="color:#B00000">
	* ### </span>		* ### </span>
	\| [[File:~~###~~\|~~350px~~\|right]]		\| [[File:PerpPointToLine.png \|300px\|right]]
	\|}		\|}
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DT Online: Created Basic Constructions

2015-02-22T11:32:50Z

Created Basic Constructions

New page

Although modern [https://en.wikipedia.org/wiki/Technical_drawing '''drafting'''] aids and [https://en.wikipedia.org/wiki/Computer-aided_design '''Computer Aided Design'''] tools now do much of the work for us, an understanding of some basic [https://en.wikipedia.org/wiki/Compass-and-straightedge_construction '''Geometrical Construction'''] can be useful when setting out large shapes, [https://en.wikipedia.org/wiki/Lofting '''lofting'''] or working on site such as on a stage set for example.

Typically, the equipment used in these constructions include: [https://en.wikipedia.org/wiki/Straightedge '''straight-edges'''] and [https://en.wikipedia.org/wiki/Ruler '''rules'''], [https://en.wikipedia.org/wiki/Set_square '''set-squares'''], [https://en.wikipedia.org/wiki/Compass_%28drawing_tool%29 '''compasses'''], [https://en.wikipedia.org/wiki/Calipers#Divider_caliper '''dividers'''] and [https://en.wikipedia.org/wiki/Beam_compass '''trammels or beam-compass'''].

{| cellpadding="5"
|-
| '''Dividing a Line into Equal Parts'''
| 
* ### 
| [[File:DividingLines.png|350px|right]]
|-
| '''Drawing Parallel Lines using Set Squares and Straight Edge '''
| 
* ### 
| [[File:DrawingParallelLines.png|250px|right]]
|-
| '''Constructing a 60 deg Angle'''
| 
* ### 
| [[File:60deg.png|250px|right]]
|-
| '''Constructing a 90 deg Angle'''
| 
* ### 
| [[File:90deg.png|250px|right]]
|-
| '''###'''
| 
* ### 
| [[File:###|350px|right]]
|-
| '''###'''
| 
* ### 
| [[File:###|350px|right]]
|}
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'''Note:'''
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