They provide, states Kim Plofker, what in modern mathematical terminology would be called " area preserving transformations of plane figures ", tersely describing geometric formulae and constants.
12.
In dimensions 3 and 4, a Schlegel diagram is a projection of a polyhedron into a plane figure and a projection of a 4-polytope to 3-space, respectively.
13.
Area can be defined through the use of axioms, defining it as a function of a collection of certain plane figures to the set of real numbers.
14.
In plane geometry, and in particular, area surveying, Green's theorem can be used to determine the area and centroid of plane figures solely by integrating over the perimeter.
15.
Many results about plane figures are proved, e . g ., " If a triangle has two equal angles, then the sides subtended by the angles are equal ."
16.
In mathematics and physics, the "'centroid "'or "'geometric center "'of a plane figure is the arithmetic mean ( " average " ) position of all the points in the shape.
17.
"I've got block planes and jointer planes figured out, as to size and purpose, but I need something larger than my block plane and don't need / want a huge jointer plane.
18.
After giving the value of pi, he deals with the geometry of plane figures and solids, such as finding volumes and surface areas ( or empty spaces dug out of solids ).
19.
He concedes that lack of a large plane figured into Airbus losing out to Boeing on two recent large orders from the Asian region : from Singapore Airlines and from Malaysia Airline System.
20.
The basic idea behind this generalization is that the area of a plane figure is proportional to the square of any linear dimension, and in particular is proportional to the square of the length of any side.
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