In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses..
What is the use of compass in construction?
Taking measurements using a protractor or a ruler is never considered to be part of a geometric construction. Also, freehand drawing is never part of a geometric construction, except for labeling of the finished drawing. The Compass: A compass is used for drawing circles and arcs, and for measuring distances..
What shapes can you make using a compass?
A compass, more accurately known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, it can also be used as a tool to mark out distances, in particular, on maps..
Which angle can be constructed with compass?
Construction of Angles Using Compass and Ruler. Another method of constructing angles is by using a compass and a ruler. But we can use this method to construct some particular angles only such as 60\xb0, 30\xb0, 90\xb0, 45\xb0, etc. We can construct angles line 23\xb0, 44\xb0, 57\xb0, etc., with accuracy using a compass and ruler..
Construction of Angles Using Compass and Ruler
Step 1: Draw a line segment.
Step 2: Take the compass and open it up to a convenient radius.
Step 3: Place the compass pointer at P and mark an arc that passes through O and intersects the previous arc at a point, say A.
Step 4: Draw a line from O through A.
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.
The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it. The compass is assumed to have no Straightedge and compass toolsConstructible pointsExtended constructions
How do you bisect a compass?
You may be given an angle and asked to bisect it (this means dividing it into two equal angles)
Start by opening your compasses to any length and drawing an arc on each line making up the angle
Label these points A and B
Now, leaving the length of the compasses the same, put the compass point on A and draw an arc in the middle
How to split a compass arc?
Now, leaving the length of the compasses the same, put the compass point on A and draw an arc in the middle
Then put the compass point on B and draw an arc in the middle which crosses the first
This new point C will be in the middle of the angle
So we can draw a line from the angle to C and we will have split the angle in two
What is a compass used for?
Compasses are a drawing instrument used for drawing circles and arcs
It has two legs, one with a point and the other with a pencil or lead
You can adjust the distance between the point and the pencil and that setting will remain until you change it
Construction with compass
Instrument used for navigation and orientation
A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with magnetic north. Other methods may be used, including gyroscopes, magnetometers, and GPS receivers.
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Principle in compass and straightedge constructions
In geometry, the compass equivalence theorem is an important statement in compass and straightedge constructions. The tool advocated by Plato in these constructions is a divider or collapsing compass, that is, a compass that collapses whenever it is lifted from a page, so that it may not be directly used to transfer distances. The modern compass with its fixable aperture can be used to transfer distances directly and so appears to be a more powerful instrument. However, the compass equivalence theorem states that any construction via a modern compass may be attained with a collapsing compass. This can be shown by establishing that with a collapsing compass, given a circle in the plane, it is possible to construct another circle of equal radius, centered at any given point on the plane. This theorem is Proposition II of Book I of Euclid's Elements. The proof of this theorem has had a chequered history.
Compass Group plc is a British multinational contract foodservice company
Catering and food company of the UK
Compass Group plc is a British multinational contract foodservice company headquartered in Chertsey, England. It is the largest contract foodservice company in Europe, ahead of Sodexo, employing over 500,000 people. It serves meals in locations including offices and factories, schools, universities, hospitals, major sports and cultural venues, mining camps, correctional facilities and offshore oil platforms. Compass Group is listed on the London Stock Exchange and is a constituent of the FTSE 100 Index and is also a Fortune Global 500 company.
A hand compass is a compact magnetic compass capable of one-
Compact magnetic compass
A hand compass is a compact magnetic compass capable of one-hand use and fitted with a sighting device to record a precise bearing or azimuth to a given target or to determine a location. Hand or sighting compasses include instruments with simple notch-and-post alignment (gunsights), prismatic sights, direct or lensatic sights, and mirror/vee (reflected-image) sights. With the additional precision offered by the sighting arrangement, and depending upon construction, sighting compasses provide increased accuracy when measuring precise bearings to an objective.
A qibla (qiblah) compass is a modified compass used by Muslims
Compass indicating the direction to Mecca for Muslim prayers
A qibla (qiblah) compass is a modified compass used by Muslims to indicate the direction to face to perform prayers. In Islam, this direction is called qibla, and points towards the city of Mecca and specifically to the Kaaba. While the compass, like any other compass, points north, the direction of prayer is indicated by marks on the perimeter of the dial, corresponding to different cities, or by a second pointer set by the user according to their own location. To determine the proper direction, one has to know with some precision both the longitude and latitude of one's own location and those of Mecca, the city toward which one must face. Once that is determined, the values are applied to a spherical triangle, and the angle from the local meridian to the required direction of Mecca can be determined.
