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A compass, also commonly 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. Compasses can be used for mathematics, drafting, navigation and other purposes. Prior to computerization, compasses ...
Creating the one point or two points in the intersection of two circles (if they intersect). For example, starting with just two distinct points, we can create a line or either of two circles (in turn, using each point as centre and passing through the other point). If we draw both circles, two new points are created at their intersections.
It is possible to prove compass equivalence without the use of the straightedge. This justifies the use of "fixed compass" moves (constructing a circle of a given radius at a different location) in proofs of the Mohr–Mascheroni theorem, which states that any construction possible with straightedge and compass can be accomplished with compass alone.
#2 - A circle through one point with defined center. This can be done with a compass alone. A straightedge is not required for this. #5 - Intersection of two circles. This construction can also be done directly with a compass. #3, #4 - The other constructions. Thus, to prove the theorem, only compass-only constructions for #3 and #4 need to be ...
Now draw an arc centred on V which goes through Y and an arc centred on Z which goes through X; call where these two arcs intersect T. Note that the distances VY and XZ are times the radius of the circle C. Put the compass radius equal to the distance OT (times the radius of the circle C) and draw an arc centred on Z which intersects the circle ...
To draw the parallel (h) to a diameter g through any given point P. Chose auxiliary point C anywhere on the straight line through B and P outside of BP. (Steiner) In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules.
sharp point used to score a fine line in the birch plywood connected to each other by a piece of 3/4" × 3/8" mahogany. The beam compass is used to scribe a circle, either by drawing with lead, penning by ink, or scratching with a sharpened point. The radius can be adjusted by sliding the metal point holder across a wood beam or metal rod, and ...
Compasses are used for drawing circles or arc segments of circles. One form has two straight legs joined by a hinge; one leg has a sharp pivot point and the other has a holder for a technical pen or pencil. Another form, the beam compass, has the pivot point and pen holder joined by a trammel bar, useful when drawing very large radius arcs ...
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