Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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Seite 1
... called a surface . 3. Surface is an ideal or imaginary concept drawn from the apparent ( not real ) boundaries of physical objects . We natu- rally associate the surface with the limited solid , not with the : surrounding air . Thus we ...
... called a surface . 3. Surface is an ideal or imaginary concept drawn from the apparent ( not real ) boundaries of physical objects . We natu- rally associate the surface with the limited solid , not with the : surrounding air . Thus we ...
Seite 2
... called a line . 8. A boundary between two adjacent pieces of a line , and common to both pieces , but itself no line , is called a point . Х FIG . 3 . 9. Two lines cross or intersect in a point . 10. Two surfaces intersect in a line ...
... called a line . 8. A boundary between two adjacent pieces of a line , and common to both pieces , but itself no line , is called a point . Х FIG . 3 . 9. Two lines cross or intersect in a point . 10. Two surfaces intersect in a line ...
Seite 3
... called figures . 14. Any figure may be looked upon as two coincident figures . Mathematical figures wholly lack impenetrability . 15. If we imagine a figure to move , we may also suppose it to leave behind its outline or trace . FIG . 6 ...
... called figures . 14. Any figure may be looked upon as two coincident figures . Mathematical figures wholly lack impenetrability . 15. If we imagine a figure to move , we may also suppose it to leave behind its outline or trace . FIG . 6 ...
Seite 4
... called revolution about this straight as axis . It may be continued until each point of the figure coincides . with its trace . Such a turning is spoken of as one complete revolution , or simply , a revolution . 30. If a third point ...
... called revolution about this straight as axis . It may be continued until each point of the figure coincides . with its trace . Such a turning is spoken of as one complete revolution , or simply , a revolution . 30. If a third point ...
Seite 5
... called hemiplanes . 33. By a half - revolution of their plane about the common straight , either of two hemiplanes ... called rays . 1 35. The figure so formed is a special case of the figure formed by two rays going out from the same ...
... called hemiplanes . 33. By a half - revolution of their plane about the common straight , either of two hemiplanes ... called rays . 1 35. The figure so formed is a special case of the figure formed by two rays going out from the same ...
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altitude angle equal angle-bisector angles opposite axis of symmetry bisects Brocard p't called cenquad circumcenter co-straight coincide common point concurrent concyclic congruent Construction Corollary corresponding diagonal diameter draw end point Engineering equal angles equal sects equal sides equiangular polygon explemental exterior angle figure g-line Geometry given p't given point given straight greater harmonic conjugates harmonic range inscribed inscribed angles intercept intersection point inversely isogonal isogonal conjugates Lemoine p't Lemoine point lune magnitude median mid p't mid point morocco opposite sides orthocenter parallel parallelogram pencil perigon perspective plane polar pole polygon Proof quad quadrant quadrilateral radius rectangle rhombus right angles rotation sect joining semicircle sides equal sphere spherical angle spherical polygon spherical triangle square st's straight angle supplemental symcenter symcentral symmedians symmetrical with regard symtra tangent Theorem third side transversal vertex vertices
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