Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's FoundationsJ. Wiley & Sons, 1904 - 285 Seiten |
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... opposite sides by a , b , c ; the altitudes from A , B , C by ha , hb , he ; the bisectors of a , ß , r by ta , tb , tc ; the medians to a , b , c by ma , mb , mc ; the feet of ha , hb , hc by D , E , F ; the centroid by G ; the ...
... opposite sides by a , b , c ; the altitudes from A , B , C by ha , hb , he ; the bisectors of a , ß , r by ta , tb , tc ; the medians to a , b , c by ma , mb , mc ; the feet of ha , hb , hc by D , E , F ; the centroid by G ; the ...
Seite 12
... original tri- angle . 30. Corollary to 29. A straight through a ver- tex and a point within a triangle has a point within the ' opposite ' side . 31. Theorem . Every plane a separates all points not I 2 RATIONAL GEOMETRY .
... original tri- angle . 30. Corollary to 29. A straight through a ver- tex and a point within a triangle has a point within the ' opposite ' side . 31. Theorem . Every plane a separates all points not I 2 RATIONAL GEOMETRY .
Seite 18
... opposite the side BC . It contains in its interior all the inner points of the triangle ABC and is designated by BAC or A. III 6. If for two triangles ABC and A'B'C ' we have the congruences AB = A'B ' , AC = A'C ' , 4 BAC = B'A'C ...
... opposite the side BC . It contains in its interior all the inner points of the triangle ABC and is designated by BAC or A. III 6. If for two triangles ABC and A'B'C ' we have the congruences AB = A'B ' , AC = A'C ' , 4 BAC = B'A'C ...
Seite 28
... opposite the congruent sides of an isosceles triangle are congruent . B Let ABC be an isosceles triangle , having AB = BC . To prove A = & C . A FIG . 22 . Proof . Since in the triangles ABC and CBA we have the con- AB = CB , BC = BA ...
... opposite the congruent sides of an isosceles triangle are congruent . B Let ABC be an isosceles triangle , having AB = BC . To prove A = & C . A FIG . 22 . Proof . Since in the triangles ABC and CBA we have the con- AB = CB , BC = BA ...
Seite 33
... opposite sides of the 2/1 3 / B 2A / 1 3/4 FIG . 25 . transversal , and both interior or both exterior , are called alternate angles [ e.g. , 3 and 1 ' ] . Two angles on the same side of the transversal , and both interior or both ...
... opposite sides of the 2/1 3 / B 2A / 1 3/4 FIG . 25 . transversal , and both interior or both exterior , are called alternate angles [ e.g. , 3 and 1 ' ] . Two angles on the same side of the transversal , and both interior or both ...
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Häufige Begriffe und Wortgruppen
adjacent angles altitude angle h angles opposite assumptions axis base bisection-point bisector bisects called chord circle circumcenter congruent congruent angles Construction coplanar copunctal Corollary costraight Definition determine diagonals diameter dicular draw edges end-points Engineering equilateral equivalent by completion face-angles Find the locus frustum Geometry given angle given plane given point given sect given straight greater gruent hedron hypothenuse hypothesis inscribed inscribed angle intersection Inverse isosceles triangle joining Manual median meet meters minor arc morocco opposite sides orthocenter pair parallel parallelogram part-tetrahedra perigon perpen perpendicular point in common polar pole polygon polyhedron prismatoid Problem Proof proportional prove pyramid quad quadrant quadrilateral radius right angles sphere spherical angle spherical polygon spherical triangle square st's straightest summits supplemental symmetrical tangent Text-book Theorem third side transversal partitions Treatise triangle ABC trihedral unit sect vertex vertices
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