A New Proof of the Euler Formula

A New Proof of the Euler Formula

Show other versions (1)

It is a new proof of the Euler formula for a convex polyhedron in R<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-the...

Full description

Bibliographic Details
Main Author:	M. I. Shtogrin
Format:	Article
Language:	English
Published:	Yaroslavl State University 2012-01-01
Series:	Моделирование и анализ информационных систем
Subjects:	угол многоугольник многогранник формула Эйлера
Online Access:	http://mais-journal.ru/jour/article/view/152

Similar Items

A New Proof of the Euler Formula
by: M. I. Shtogrin
Published: (2015-03-01)

Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula
by: I. Kh. Sabitov
Published: (2013-12-01)

Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula
by: I. Kh. Sabitov
Published: (2013-01-01)

Some Properties of Metric Polytope Constraints
by: V. A. Bondarenko, et al.
Published: (2014-08-01)

CONSTRUCTING METAMORPHOSIS OF IMAGES FOR THE OBJECTS ON THE BASIS OF SOLVING EULER-POINCARE EQUATIONS
by: S. V. Leichter
Published: (2017-08-01)

A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
by: A. Magazinov
Published: (2012-01-01)

A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
by: A. Magazinov
Published: (2015-03-01)

Gale Duality and the Neighborliness of Random Polytopes. II
by: A. G. Brodskiy
Published: (2012-01-01)

Gale Duality and the Neighborliness of Random Polytopes. II
by: A. G. Brodskiy
Published: (2015-02-01)

CALCULATION METHODS OF ORIENTATION ANGLES OF TRANSMITTER AND NOISE RECEIVER ANTENNAS IN ANALYSIS OF ELECTROMAGNETIC COMPATIBILITY
by: O. I. Korolkova, et al.
Published: (2019-06-01)

CALCULATION METHODS OF ORIENTATION ANGLES OF TRANSMITTER AND NOISE RECEIVER ANTENNAS IN ANALYSIS OF ELECTROMAGNETIC COMPATIBILITY
by: O. I. Korolkova, et al.
Published: (2019-06-01)

Hydrodynamics, Cosmogony, and Cosmology in publications of V. V. Perekhrest: from Planetary Vortices to Galaxies and Dark Energy
by: V. L. Borsch
Published: (2016-03-01)

О приближении определенных интегралов составными квадратурными формулами с использованием производных
by: Шустов, В.В.
Published: (2021-04-01)

Gale Duality and the Neighborliness of Random Polytopes. I
by: A. G. Brodskiy
Published: (2012-01-01)

Gale Duality and the Neighborliness of Random Polytopes. I
by: A. G. Brodskiy
Published: (2015-02-01)

Closed Locally Minimal Networks on the Surfaces of Convex Polyhedra
by: N. P. Strelkova
Published: (2013-10-01)

Closed Locally Minimal Networks on the Surfaces of Convex Polyhedra
by: N. P. Strelkova
Published: (2013-01-01)

Some Notes about Arrangements of Points on Quadrics
by: A. V. Seliverstov
Published: (2012-01-01)

Some Notes about Arrangements of Points on Quadrics
by: A. V. Seliverstov
Published: (2015-02-01)

The Optimal Quadrature Formula of Approximate Calculation of Curvilinear Integral of First Kind for Some Classes of Functions and Curves
by: K. Tukhliev
Published: (2013-06-01)

The Optimal Quadrature Formula of Approximate Calculation of Curvilinear Integral of First Kind for Some Classes of Functions and Curves
by: K. Tukhliev
Published: (2013-01-01)

EQUATIONS OF SPATIAL MOTION OF A SOLID BODY WITH MOLDABLE FASTENING TO THE FOUNDATION (THE TASK OF DEPRECIATION IN SPACE)
by: Андрей Александрович Тарасенко, et al.
Published: (2020-08-01)

MAXIMUM PRINCIPLE FOR SUBSONIC FLOW WITH VARIABLE ENTROPY
by: G. B. Sizykh
Published: (2017-05-01)

Hypergraphs of Special Type and CUT Polytope Relaxations Properties Analysis
by: A. V. Nikolaev
Published: (2011-09-01)

SOLUTION TO A PARABOLIC DIFFERENTIAL EQUATION IN HILBERT SPACE VIA FEYNMAN FORMULA I
by: I. D. Remizov
Published: (2015-06-01)

Static calculation of the bearing capacity of a two-pole membrane-rod system taking into account the air-bearing effect using the numerical Euler-Cauchy procedure
by: A. Yu. Kim, et al.
Published: (2022-02-01)

An Automatic Proof of Euler's Formula
by: Jun Zhang
Published: (2005-05-01)

On 2D gas dynamics simulation using RKDG method on structured rectangular meshes
by: V. N. Korchagova, et al.
Published: (2018-10-01)

The melodramatic component in contemporary ukrainian combatant prose
by: Марина Рябченко
Published: (2021-11-01)

ATTENUATION RADIO PASS THROUGH A WALL
by: A. I. Semenko, et al.
Published: (2019-06-01)

Geometry and forming of the polyhedral Box tYpe surfaces on base cyclic surface
by: V N Ivanov
Published: (2012-06-01)

Mental Formulae in the Formation of Linguistic Personality of Ch. Aitmatov
by: Z K Derbisheva
Published: (2014-12-01)

О некоторых вариациях задач об охране картинной галереи
by: Александр Владимирович Гринкевич, et al.
Published: (2024-04-01)

Backtracking Algorithms for Constructing the Hamiltonian Decomposition of a 4-regular Multigraph
by: Alexander V. Korostil, et al.
Published: (2021-03-01)

CHARACTERISTICS OF DETECTION LINEAR POLARIZED RADARS SIGNALS
by: A. I. Logvin, et al.
Published: (2016-11-01)

Optimization of the trimming tilting angle of the electric tiltrotor propeller group
by: V. I. Busurin, et al.
Published: (2021-08-01)

ОСОБЛИВОСТІ ВТІЛЕННЯ ФІГУРИ РОМБА В АЗЕРБАЙДЖАНСЬКОМУ ОРНАМЕНТАЛЬНОМУ МИСТЕЦТВІ
by: Фаріда Маммадова
Published: (2021-12-01)

THE ROLE OF EMERGING-MARKET ECONOMIES IN REFORMING QUOTA AND VOTING RIGHTS IN IMF
by: N. N. Troshin
Published: (2017-10-01)

METROLOGICAL MAINTENANCE OF SIMULATORS WITH MANY AMOUNTS OF FREEDOM
by: N. B. Sotsky
Published: (2015-03-01)

TRACKING FOR ORIENTATION ANGLE POLARIZATION PLATE ELECTROMAGNETIC WAVE
by: A. I. Logvin, et al.
Published: (2016-11-01)