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Sorry to disappoint you, but analytic philosophy is attributed to two British philosophers Bertrand Russell and G. E. Moore in the early 20th century.
Actually, around 1910 Russell began to conceive of the analytic method as the method of philosophy in general, under the influence of his friend and colleague at Cambridge University G. E. Moore.
What else can I help you with?
Can each plane be uniquely defined by three points?
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
How many lines can pass through two points?
There is exactly one line that can pass through two distinct points. This line is uniquely determined by the two points.
How many points determine exactly one line?
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
How can you name a line and a plane?
Here is one option: 2 points uniquely define a line so a line can be named after any two points that belong to it. Similarly, three points that are not collinear (all in the same line) uniquely define a plane so a plane can be defined by naming any three non-collinear points in it. There are different - though related - forms in coordinate geometry or in vector algebra.
Why is analytic geometry so important?
The analytic geometry was developed by French mathematician and philosopher Rene Descartes as a new branch of mathematics which unified the algebra and geometry in a such way that we can visualize numbers as points on a graph, equations as geometric figures, and geometric figures as equations.
What detemines a unique straight line?
In a Euclidean plane any two distinct points uniquely define a straight line.
The number of points on a line?
There are infinitely many points on a line, as a line extends endlessly in both directions. Each point on a line can be uniquely identified by its position on the line using the coordinates of the point.
Standard equation of a circle with 2 points?
Two points do not provide enough information to define a circle: a minimum of three points is required to uniquely define a circle unless one of the points happens to be the centre and the other is on the circle. In that case, however, it is necessary to know which is which.
How many non collinear points are needed to create a plane?
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
Is it true that a line can be drawn through two points?
Yes, it is true that a line can be drawn through any two distinct points in a two-dimensional plane. This is a fundamental concept in geometry, as two points uniquely determine a straight line. If the points are the same, they do not define a line but rather a single point.
