Thus, Hobbes erroneously held that he had discovered a means of geometrically doubling the cube, as it is called, that is, finding two mean proportionals between two given lines; a problem which cannot be solved by plane geometry.
These Sciences are Arithmetic, Plane Geometry, Solid Geometry, Astronomy and Harmonics.
This last fact illustrates the necessity, which is also forced on plane geometry by three-dimensional considerations, of treating all points at infinity in a plane as lying on a single straight line.
In plane geometry, reckoning the line as a curve of the first order, we have only the point and the curve.
Of these the first four and the sixth are devoted to "plane geometry," as the investigation of figures in a plane is generally called.
And these two theorems are perfectly fair types of upwards of one hundred sixty or seventy propositions comprising Euclid's books on plane geometry.
In America we commonly allow at least a year to plane geometry and a half year to solid geometry; but all of the facts that a skilled mechanic or an engineer would ever need could be taught in a few lessons.
The complete elements of Plane Geometry, measuration of rectilineal figures and of the circle, transformation and division of figures; the first elements of the application of Algebra to Geometry.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "plane geometry" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
