Download E-books Géométrie. Classe de Mathématiques (Programmes de 1945) PDF

By Lebossé C., Hémery C.

Réimpression par les éditions Jacques Gabay d’un livre initialement publié par Fernand Nathan en 1961. Conforme au programme du 27 juin 1945.

Table des matières :

Première partie. — Éléments orientés

Leçon 1. — Vecteurs et coordonnées
    Vecteurs
    Sommes vectorielles
    Projections d’un vecteur
    Coordonnées

Leçon 2. — Angles orientés dans le plan
    Angles orientés dans le plan
    Angle de deux droites dans le plan
    Angles inscrits

Leçon three. — Éléments orientés dans l’espace. — Produit scalaire. — family métriques dans le triangle

Leçon four. — Trièdres
    Trièdres
    Relations entre les faces d’un trièdre
    Trièdres supplémentaires
    Cas d’égalité des trièdres

Deuxième partie. — Transformations

Leçon five. — modifications. — Déplacements plans
    Transformations ponctuelles
    Déplacements plans
    Translation plane
    Rotation plane

Leçon 6. — Symétrie-droite dans le plan. — functions des déplacements et symétries

Leçon 7. — Déplacements dans l’espace
    Déplacements dans l’espace
    Translation dans l’espace
    Rotation dans l’espace

Leçon eight. — Symétries dans l’espace. — Comparaison. — Éléments de symétrie d’une figure

Leçon nine. — Homothétie
    Homothétie
    Applications de l’homothétie

Leçon 10. — Similitude dans le plan et dans l’espace

Leçon eleven. — department et faisceau harmoniques
    Division harmonique
    Faisceau harmonique
    Polaire d’un element par rapport à deux droites

Leçon 12. — Puissance par rapport à un cercle et à une sphère

Leçon thirteen. — Cercles orthogonaux. — Faisceaux de cercles. — Sphères orthogonales

Leçon 14. — Polarité par rapport à un cercle et à une sphère

Leçon 15. — Inversion dans le plan et dans l’espace

Leçon sixteen. — purposes. — Projection stéréographique

Troisième partie. — Coniques

Introduction

Leçon 17. — Ellipse. — Tangentes à l’ellipse

Leçon 18. — Équation de l’ellipse. — Ellipse projection d’un cercle

Leçon 19. — Hyperbole. — Tangentes à l’hyperbole

Leçon 20. — Équation de l’hyperbole. — Propriétés kin aux asymptotes
    Équation de l’hyperbole
    Propriétés relations aux asymptotes
    Hyperbole équilatère

Leçon 21. — Parabole. — Tangentes à l. a. parabole. — Équation de los angeles parabole

Leçon 22. — Foyers et directrices

Leçon 23. — Propriétés communes
    Lieux géométriques
    Propriétés des tangentes
    Propriétés des normales

Leçon 24. — Sections planes d’un cône ou cylindre de révolution

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Download E-books Essentials Of Plane Trigonometry And Analytic Geometry PDF

Some of the earliest books, relatively these courting again to the 1900s and ahead of, are actually super scarce and more and more dear. we're republishing those vintage works in cheap, prime quality, glossy variations, utilizing the unique textual content and paintings.

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Download E-books Geometry and Spectra of Compact Riemann Surfaces PDF

By Peter Buser (auth.)

This vintage monograph is a self-contained creation to the geometry of Riemann surfaces of continuous curvature –1 and their size and eigenvalue spectra. It specializes in matters: the geometric conception of compact Riemann surfaces of genus more than one, and the connection of the Laplace operator with the geometry of such surfaces. the 1st a part of the booklet is written in textbook shape on the graduate point, with in simple terms minimum standards in both differential geometry or advanced Riemann floor idea. the second one a part of the publication is a self-contained advent to the spectrum of the Laplacian in accordance with the warmth equation. Later chapters take care of fresh advancements on isospectrality, Sunada’s building, a simplified facts of Wolpert’s theorem, and an estimate of the variety of pairwise isospectral non-isometric examples which relies in basic terms on genus. Researchers and graduate scholars attracted to compact Riemann surfaces will locate this publication an invaluable reference. Anyone acquainted with the author's hands-on method of Riemann surfaces could be gratified via either the breadth and the intensity of the themes thought of right here. The exposition can also be tremendous transparent and thorough. a person now not conversant in the author's process is in for a true deal with. — Mathematical ReviewsThis is a thick and leisurely publication so one can pay off repeated examine with many friendly hours – either for the newbie and the professional. it truly is thankfully kind of self-contained, which makes it effortless to learn, and it leads one from crucial arithmetic to the “state of the paintings” within the conception of the Laplace–Beltrami operator on compact Riemann surfaces. even though it isn't encyclopedic, it's so wealthy in details and concepts … the reader may be thankful for what has been integrated during this very gratifying e-book. —Bulletin of the AMS The e-book is especially good written and relatively available; there's a very good bibliography on the finish. —Zentralblatt MATH

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Download E-books Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries (Encyclopedia of Mathematics and its Applications) (v. 1) PDF

By A. A. Ivanov

This ebook is the 1st quantity in a two-volume set, so that it will give you the entire evidence of type of 2 vital periods of geometries, heavily concerning one another: Petersen and tilde geometries. there's an unlimited kinfolk of tilde geometries linked to nonsplit extensions of symplectic teams over a box of 2 parts. along with that there are twelve remarkable Petersen and tilde geometries. those unparalleled geometries are concerning sporadic uncomplicated teams, together with the recognized Monster workforce and this quantity provides a building for every of the Petersen and tilde geometries that gives an self sustaining lifestyles facts for the corresponding automorphism crew. very important purposes of Petersen and tilde geometries are thought of, together with the so-called Y-presentations for the Monster and similar teams, and a whole id of Y-groups is given. this can be a necessary buy for researchers in finite crew conception, finite geometries and algebraic combinatorics.

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Download E-books Porous Media: Geometry and Transports (Butterworth-Heinemann Series in Chemical Engineering) PDF

The objective of "Porous Media: Geometry and Transports" is to supply the foundation of a rational and glossy method of porous media. This ebook emphasizes numerous geometrical constructions (spatially periodic, fractal, and random to reconstructed) and the 3 significant single-phase transports (diffusion, convection, and Taylor dispersion).

"Porous Media" serves quite a few reasons. for college students it introduces easy info on constitution and transports. Engineers will locate this publication beneficial as a without difficulty available assemblage of al the main experimental effects referring to single-phase transports in porous media. For scientists it offers the most recent advancements within the box, a few of that have by no means ahead of been published.

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Download E-books Global Differential Geometry and Global Analysis: Proceedings of a Conference Held in Berlin, 15-20, 1990 (Lecture Notes in Mathematics) PDF

By D. Ferus, U. Simon, U. Pinkall, B. Wegner

All papers showing during this quantity are unique study articles and feature no longer been released in other places. They meet the necessities which are valuable for book in a quality basic magazine. E.Belchev, S.Hineva: at the minimum hypersurfaces of a in the neighborhood symmetric manifold. -N.Blasic, N.Bokan, P.Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. -J.Bolton, W.M.Oxbury, L.Vrancken, L.M. Woodward: minimum immersions of RP2 into CPn. -W.Cieslak, A. Miernowski, W.Mozgawa: Isoptics of a strictly convex curve. -F.Dillen, L.Vrancken: Generalized Cayley surfaces. -A.Ferrandez, O.J.Garay, P.Lucas: On a undeniable category of conformally flat Euclidean hypersurfaces. -P.Gauduchon: Self-dual manifolds with non-negative Ricci operator. -B.Hajduk: at the obstruction workforce toexistence of Riemannian metrics of confident scalar curvature. -U.Hammenstaedt: Compact manifolds with 1/4-pinched unfavorable curvature. -J.Jost, Xiaowei Peng: The geometry of moduli areas of good vector bundles over Riemannian surfaces. - O.Kowalski, F.Tricerri: A canonical connection for in the neighborhood homogeneous Riemannian manifolds. -M.Kozlowski: a few wrong affine spheres in A3. -R.Kusner: A greatest precept at infinity and the topology of whole embedded surfaces with consistent suggest curvature. -Anmin Li: Affine completeness and Euclidean completeness. -U.Lumiste: On submanifolds with parallel greater order basic shape in Euclidean areas. -A.Martinez, F.Milan: Convex affine surfaces with consistent affine suggest curvature. -M.Min-Oo, E.A.Ruh, P.Tondeur: Transversal curvature and tautness for Riemannian foliations. -S.Montiel, A.Ros: Schroedinger operators linked to a holomorphic map. -D.Motreanu: commonplace life of Morse capabilities on countless dimensional Riemannian manifolds and functions. -B.Opozda: a few extensions of Radon's theorem.

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