## Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's Foundations |

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ABCD acute adjacent altitude Analysis assumptions axis base bisection-point bisector bisects called chord circle completion congruent Construction contains Convention coplanar copunctal Corollary corresponding costraight Definition designate determine diagonals diameter divided draw edges Elements end-points Engineering equal equivalent faces figure Find four Geometry give given point greater gruent half hypothesis interior intersection Inverse isosceles joining length less lies locus Manual Materials Mechanics median meet meters minor morocco opposite opposite sides pair parallel partition pass perpendicular plane polar pole polygon polyhedron Practical Problem projection Proof proportional prove quad quadrant quadrilateral radius region respectively right angles sect sides sphere square straight straightest summits supplemental taken tangent tetrahedron Theorem third transversal Treatise triangle unit vertex vertices volume