Geometry For Entertainment

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This is a new English translation of the book from the original Russian published in 1950. Geometry for Entertainment is written both for friends of mathematics and for those readers from whom many attractive aspects of mathematics have somehow been hidden. More importantly, this book is intended for those readers who studied (or are currently studying) geometry only at the blackboard and therefore are not used to noticing familiar geometric relationships in the world of things and phenomena around us, have not learnt to use the acquired geometric knowledge in practise, in difficult cases of life, on a hike, in a bivouac or front-line situation. To arouse the reader’s interest in geometry or, in the words of the author, “to inspire a desire and cultivate a taste for its study is the objective of this book.”

Author(s): Yakov Perelman, Damitr Mazanav
Publisher: The Mir Titles Project
Year: 2024

Language: English
Commentary: archive.org/details/mir-titles
Pages: 430
Tags: geometry

Editor's Preface
Translator's Preface
Geometry In The Open Air
Geometry In The Forest
By the Length of the Shadow
Two More Methods
The Method of Jules Verne
How Sergeant Popov Acted
Using a Notebook
Without Approaching the Tree
Forest Rangers' Altimeter
Using a Mirror
Two Pines
The Shape of the Tree Trunk
Universal Formula
Volume and Weight of a Tree at the Root
Leaf Geometry
Six-legged Heroes
Geometry By The River
Measuring the Width of the River
Using a Visor
The Length Of An Island
A Pedestrian On the Opposite Bank
Simple Rangefinders
The Energy of the River
The Flow Rate
How Much Water Flows in The River?
Water Wheel
Rainbow Film
Circles on the Water
Fantastic Shrapnel
The Keel Wave
Speed of Projectiles
Finding Pond Depth
Starry Sky in the River
Path Across the River
To Construct Two Bridges
Geometry In The Open Field
Visible Sizes of the Moon
Angle of View
Plate and Moon
Moon and Copper Coins
Sensational Photographs
Reservoir Set Decoration
Living Protractor
Jacob's Staff
Rake Angle Gauge
Artilleryman's Angle
Your Visual Acuity
The Limiting Minute
The Moon and Stars at the Horizon
The length of the Moon's Shadow
How High is the Cloud Above the Ground?
Tower Height from Photograph
Exercises
Geometry on the Road
The Art of Measuring by Steps
Eye-meter
Slopes
Heap of Gravel
The Proud Hill
At a Road Curve
Radius of Curvature
The Bottom of the Ocean
Do Water Mountains Exist?
Field Trigonometry Without Formulas and Tables
Calculation of the Sine
Extraction of the Square Root
To Find an Angle From its Sine
Height of the Sun Problem
Distance to the Island Problem
Lake Width Problem
Triangle Area Problem
Determining the Magnitude of an Angle Without Any Instruments
Where Heaven and Earth Converge
Horizon
Ship on the Horizon
The Distance to the Horizon
Gogol's Tower Problem
Pushkin's Hill
Where the Rails Meet
Lighthouse Problems
Lightning Problem
Sailboat Problem
Horizon on the Moon
In the Lunar Crater
On Jupiter
The Geometry Of The Robinsons
The Geometry of the Starry Sky
The Latitude of the `Mysterious Island'
Determining Geographic Longitude
Between Seriousness And Joke In Geometry
Geometry In The Dark
Into the Depths of the Hold
Measuring the Barrel
Measuring Ruler (The Mayne-Reid Problem)
What Needed to be Done
Verification of the Calculation
The Night Journey of Mark Twain
Mysterious Circumnavigation
Measuring with Bare Hands
Straight Angle in the Dark
Old And New About The Circle
Practical Geometry of the Egyptians and Romans
``I know this and I remember it perfectly.''
Jack London's Error
Dropping a Needle
Straightening a Circle Problem
Squaring the Circle
Triangle of Bing
Head or Feet
Wire Along the Equator Problem
Facts and Calculations
The Girl on the Tightrope
The Path Through the Pole
For the Drive Belt
The Raven's Cleverness
Geometry Without Measurements And Calculations
Building Without a Compass
Centre of Gravity of a Plate
Napoleon's Task
Simple Trisector
Clock Trisector
Dividing a Circle
Billiard Ball Problem
The ``Smart'' Ball
In One Stroke
The Seven Bridges of Königsberg
Geometrical Joke
Form Verification Problem
Game
Big And Small In Geometry
In a Thimble
Volume and Pressure
Thinner than a Spider Web but Stronger than Steel
Two Jars
Gigantic Cigarette
Ostrich Egg Task
Elephant Bird Egg
Eggs of Russian Birds
Weight of the Eggshell
The Sizes of Our Coins
Coin Worth a Million Roubles
Visual Representations
Our Normal Weight
Gulliver's Geometry
Why Does Dust and Clouds Float in the Air?
Geometric Economy
How Did Pahom Buy Land
The Problem of Leo Tolstoy
Trapezoid or Rectangle
The Remarkable Property of a Square
Plots of Different Shapes
Figures with the Greatest Area
Nails
Body of Greatest Volume
Product of Equal Factors
Triangle with the Greatest Area
The Heaviest Beam
From a Cardboard Triangle
The Tinsmith's Dilemma
The Turner's Dilemma
How to Lengthen a Board?
The Shortest Path