Kinematic Geometry of Gearing
Автор: David Dooner B.
Год издания: 0000
Building on the first edition published in 1995 this new edition of Kinematic Geometry of Gearing has been extensively revised and updated with new and original material. This includes the methodology for general tooth forms, radius of torsure’, cylinder of osculation, and cylindroid of torsure; the author has also completely reworked the ‘3 laws of gearing’, the first law re-written to better parallel the existing ‘Law of Gearing” as pioneered by Leonard Euler, expanded from Euler’s original law to encompass non-circular gears and hypoid gears, the 2nd law of gearing describing a unique relation between gear sizes, and the 3rd law completely reworked from its original form to uniquely describe a limiting condition on curvature between gear teeth, with new relations for gear efficiency are presented based on the kinematics of general toothed wheels in mesh. There is also a completely new chapter on gear vibration load factor and impact. Progressing from the fundamentals of geometry to construction of gear geometry and application, Kinematic Geometry of Gearing presents a generalized approach for the integrated design and manufacture of gear pairs, cams and all other types of toothed/motion/force transmission mechanisms using computer implementation based on algebraic geometry.
Geometry For Dummies
Автор: Mark Ryan
Год издания:
Hit the geometry wall? Get up and running with this no-nonsense guide! Does the thought of geometry make you jittery? You're not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you'll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time. Geometry is a subject full of mathematical richness and beauty. But it's a subject that bewilders many students because it's so unlike the math they've done before—it requires the use of deductive logic in formal proofs. If you're having a hard time wrapping your mind around what that even means, you've come to the right place! Inside, you'll find out how a proof's chain of logic works and even discover some secrets for getting past rough spots along the way. You don't have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry! Find out how to decode complex geometry proofs Learn to reason deductively and inductively Make sense of angles, arcs, area, and more Improve your chances of scoring higher in your geometry class There's no reason to let your nerves get jangled over geometry—your understanding will take new shape with the help of Geometry For Dummies.
Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)
Автор: Allen Ma
Год издания:
Practice makes perfect! Get perfect with a thousand and one practice problems! 1,001 Geometry Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems that deal with core geometry topics, such as points, lines, angles, and planes, as well as area and volume of shapes. You'll also find practice problems on more advanced topics, such as proofs, theorems, and postulates. The companion website gives you free online access to 500 practice problems and solutions. You can track your progress and ID where you should focus your study time. The online component works in conjunction with the book to help you polish your skills and build confidence. As the perfect companion to Geometry For Dummies or a stand-alone practice tool for students, this book & website will help you put your geometry skills into practice, encouraging deeper understanding and retention. The companion website includes: Hundreds of practice problems Customizable practice sets for self-directed study Problems ranked as easy, medium, and hard Free one-year access to the online questions bank With 1,001 Geometry Practice Problems For Dummies, you'll get the practice you need to master geometry and gain confidence in the classroom.
Geometry Essentials For Dummies
Автор: Mark Ryan
Год издания:
Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. Get down to the basics – get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence – follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides – learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons – get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more Open the book and find: Plain-English explanations of geometry terms Tips for tackling geometry proofs The seven members of the quadrilateral family Straight talk on circles Essential triangle formulas The lowdown on 3-D: spheres, cylinders, prisms, and pyramids Ten things to use as reasons in geometry proofs Learn to: Core concepts about the geometry of shapes and geometry proofs Critical theorems, postulates, and definitions The principles and formulas you need to know
Groovy Geometry. Games and Activities That Make Math Easy and Fun
Автор: Lynette Long
Год издания:
Don't Just Learn Geometry…Master It! Brimming with fun and educational games and activities, the Magical Math series provides everything you need to know to become a master of mathematics! In each of these books, Lynette Long uses her unique style to help you truly understand mathematical concepts as you use common objects such as playing cards, dice, coins, and every mathematician's basic tools: paper and pencil. Inside Groovy Geometry, you'll find all the geometry basics, plus information on how to figure out the height of any object from its shadow, find distances «as the crow flies,» estimate the area of any space, and much more. While you play the Name Game and Rectangle Race, you'll learn how to draw, measure, and identify different kinds of angles, triangles, and quadrilaterals. And with fun activities like Bull's Eye and Pizza Party, you'll practice plotting coordinate points on a graph and measuring the area and diameter of a circle. Most important, you'll have a great time doing it! So why wait? Jump right in and find out how easy it is to become a mathematics master!
Dr. Math Presents More Geometry. Learning Geometry is Easy! Just Ask Dr. Math
Автор: The Forum Math
Год издания:
You, too, can understand geometry – just ask Dr. Math! Are things starting to get tougher in geometry class? Don't panic. Dr. Math–the popular online math resource–is here to help you figure out even the trickiest of your geometry problems. Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Presents More Geometry, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students in a typical geometry class. You'll also find plenty of hints and shortcuts for using coordinate geometry, finding angle relationships, and working with circles. Pretty soon, everything from the Pythagorean theorem to logic and proofs will make more sense. Plus, you'll get plenty of tips for working with all kinds of real-life problems. You won't find a better explanation of high school geometry anywhere!