Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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Seite 18
... regard to a given straight , called the Axis of Symmetry , when the axis bisects at right angles the sect joining the two points . 121. Two points have always one , and only one , symmetry 122. A point has , with regard to a given axis ...
... regard to a given straight , called the Axis of Symmetry , when the axis bisects at right angles the sect joining the two points . 121. Two points have always one , and only one , symmetry 122. A point has , with regard to a given axis ...
Seite 19
... regard to itself . 131. Two points are said to be symcentral with regard to the mid point of their joining sect . M FIG . 55 . 132. A point has , with regard to a given symcenter , always one , and only one , symcentral point ; namely ...
... regard to itself . 131. Two points are said to be symcentral with regard to the mid point of their joining sect . M FIG . 55 . 132. A point has , with regard to a given symcenter , always one , and only one , symcentral point ; namely ...
Seite 21
... regard to either of their angle bisectors . Proof . For the points which would be brought into coin- cidence by folding along this bisector were symmetrical with regard to it . 150. Any circle is symmetrical with regard to any of its ...
... regard to either of their angle bisectors . Proof . For the points which would be brought into coin- cidence by folding along this bisector were symmetrical with regard to it . 150. Any circle is symmetrical with regard to any of its ...
Seite 22
... only this . point in common with the circle . This point of the circle is symmetrical to itself with regard to this diameter as axis . But if we draw through this point C any straight s , not to the radius , then the 22 Tangents,
... only this . point in common with the circle . This point of the circle is symmetrical to itself with regard to this diameter as axis . But if we draw through this point C any straight s , not to the radius , then the 22 Tangents,
Seite 28
... regard to their center - straight as axis . о FIG . 82 . Every chord perpendicular to this axis is bisected by it . If the circles have a common point on this straight , they cannot have any other point in common , for any point in each ...
... regard to their center - straight as axis . о FIG . 82 . Every chord perpendicular to this axis is bisected by it . If the circles have a common point on this straight , they cannot have any other point in common , for any point in each ...
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Häufige Begriffe und Wortgruppen
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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