Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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Seite 34
... concurrent . • 211. The three perpendicular bisectors of the sides of a triangle are concurrent in its circumcenter . B B A FIG . 100 . FIG . 99 . 212. The circle tangent to the three sides of a 34 The Triangle,
... concurrent . • 211. The three perpendicular bisectors of the sides of a triangle are concurrent in its circumcenter . B B A FIG . 100 . FIG . 99 . 212. The circle tangent to the three sides of a 34 The Triangle,
Seite 35
... concurrent in its in - center . 214. A circle touching one side of a triangle and the other two sides produced is called an escribed circle , or ex- © . 2 The three centers I , I , I , of the escribed circles I , [ r . ] , © I , [ r ...
... concurrent in its in - center . 214. A circle touching one side of a triangle and the other two sides produced is called an escribed circle , or ex- © . 2 The three centers I , I , I , of the escribed circles I , [ r . ] , © I , [ r ...
Seite 43
... every isosceles triangle the median concurrent with the equal sides is an altitude and an angle - bisector . So every isosceles triangle is symmetrical . D B 267. Theorem . A triangle having a median 43 The Symmetrical Triangle,
... every isosceles triangle the median concurrent with the equal sides is an altitude and an angle - bisector . So every isosceles triangle is symmetrical . D B 267. Theorem . A triangle having a median 43 The Symmetrical Triangle,
Seite 57
... concurrent , and the point is called the triangle's orthocenter . They must cointersect , since each con- tains the circumcenter of a triangle made by drawing through the vertices of the given triangle parallels to its sides ...
... concurrent , and the point is called the triangle's orthocenter . They must cointersect , since each con- tains the circumcenter of a triangle made by drawing through the vertices of the given triangle parallels to its sides ...
Seite 76
... concurrent in B ' opposite to B. .. ABCB'A , is a cenquad [ its diagonals AC and BB ' bisect each other ] . .. AB == CB ' , and AB , BC are supplemental . Also , by symcentry , HD = DF ; : . ABC is bisected by BD . A H D B ' FIG . 183 ...
... concurrent in B ' opposite to B. .. ABCB'A , is a cenquad [ its diagonals AC and BB ' bisect each other ] . .. AB == CB ' , and AB , BC are supplemental . Also , by symcentry , HD = DF ; : . ABC is bisected by BD . A H D B ' FIG . 183 ...
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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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