Problems in solid geometry (science for everyone)
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Problems in solid geometry (science for everyone)
.. SCIENCEFOREVERYONEIE SHARYGINPROBLEMS_2nSolidGEOMETRYI.F. SharyginProblems in Solid GeometryTranslated from the Russian by Leonid LevantMirPublishe Problems in solid geometry (science for everyone) ersMoscowFirst published 1986Revised from the 1984 Russian editionHa aH2AUŨCK0M aauKe© HarareJIHCTBO «HayKa», rjiaBHHH pejjaKnaa ỘH3HK0-MaTeMaTnaecKoô jiHTepaTypM, 1984© English translation, Mir Publishers, 1986ContentsPreface............................................. 6Section1Computational Probl Problems in solid geometry (science for everyone) ems................... 7Section2Problems onProof...................... 37Section3Problems onExtrema.Geometric Inequalities 47Section 4. Loci of PointsProblems in solid geometry (science for everyone)
................. . .54An Arbitrary Tetrahedron 59. An Equifaced Tetrahedron 61. An Orthocentric Tetrahedron 64. An Arbitrary Polyhedron. The Sphere 6.. SCIENCEFOREVERYONEIE SHARYGINPROBLEMS_2nSolidGEOMETRYI.F. SharyginProblems in Solid GeometryTranslated from the Russian by Leonid LevantMirPublishe Problems in solid geometry (science for everyone) ural continuation of Problems in Plane Geometry, Nauka, Moscow, 1982. It is therefore possible to confine myself here to those points where this book differs from the first.The problems in this collection are grouped into (1) computational problems and (2) problems on proof.The simplest problems in Problems in solid geometry (science for everyone) Section 1 only have answers, others, have brief hints, and the most difficult, have detailed hints and worked solutions. There are two reservations. FProblems in solid geometry (science for everyone)
irstly, in most cases only the general outline of the solution is given, a number of details being suggested for the reader to consider. Secondly, alt.. SCIENCEFOREVERYONEIE SHARYGINPROBLEMS_2nSolidGEOMETRYI.F. SharyginProblems in Solid GeometryTranslated from the Russian by Leonid LevantMirPublishe Problems in solid geometry (science for everyone) eorems, problems on maximum and minimum (some of the problems in this part could have been put in Section 1), and problems on loci. Some questions pertaining to the geometry of tetrahedron, spherical geometry, and so forth are also considered here.As to the techniques for solving all these problems, Problems in solid geometry (science for everyone) I have to state that I prefer analytical computational methods to those associated with plane geometry. Some of the difficult problems in solid geomeProblems in solid geometry (science for everyone)
try will require a high level of concentration from the reader, and an ability to carry out some rather complicated work.The AuthorSection 1.. SCIENCEFOREVERYONEIE SHARYGINPROBLEMS_2nSolidGEOMETRYI.F. SharyginProblems in Solid GeometryTranslated from the Russian by Leonid LevantMirPublishe.. SCIENCEFOREVERYONEIE SHARYGINPROBLEMS_2nSolidGEOMETRYI.F. SharyginProblems in Solid GeometryTranslated from the Russian by Leonid LevantMirPublisheGọi ngay
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