How Round Is Your Circle

Alternatively, you might have already made something round and wish to check the accuracy of your construction. We all know what a circle is, so here we discuss the problem of determining if what is supposed to be circular is really ...

Author: John Bryant

Publisher: Princeton University Press

ISBN: 9781400837953

Category: Mathematics

Page: 320

View: 439


How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.

Detox Your Circle Activate Your Destiny

And the toxic loop goes 'round and 'round. This fear of failure, whether in one of your employees or friends in your circle, often derives from a lack of empathy, a lack of kindness. If you cannot show them the way to kindness, ...

Author: Ernest Sears Jr

Publisher: Balboa Press

ISBN: 9781982219826

Category: Self-Help

Page: 154

View: 895


After doing over fifteen years of hard time in a cubicle or office, you and your laptop have found Nirvana at the Starbucks around the corner. Mercifully, the career is over; the kids are gone. Now there is nothing left to distract you from the elephant in the room. You stare at your significant other with the most disconcerting doubts about whether the relationship has run its natural course. You own up to your part in friendships that have become more like placeholders. Years of meaningless, if tenuous, connection have left you hollow. Detox Your Circle, Activate Your Destiny establishes the premise for removing thirteen toxic elements—people, self-sabotaging behaviors, baggage, and meaningless rituals, to name a few—and demonstrates how decluttering can trigger a very powerful clarity. When we detox our Rolodex, our true nature and essence attract more of who we are. What ensues is a resonance that sets the tone and cosmic parameters for fulfilling destiny.

Knots and Borromean Rings Rep Tiles and Eight Queens

This and other gems are found in their book How Round Is Your Circle?, Princeton University Press, 2008. John Bryant built the device and posted video of it in operation on the Web. Barry Cox and Stan Wagon discuss this square-hole ...

Author: Martin Gardner

Publisher: Cambridge University Press

ISBN: 9780521756136

Category: Mathematics

Page: 288

View: 225


Find new twists on knotted molecules, the hangman's paradox, cat's cradle, gambling, peg solitaire, pi and e in this book.

The Crocheter s Skill Building Workshop

When increasing in rounds, always place an increase in the last stitch of the round. Sometime in our childhoods we learned about the relationship between the diameter and circumference of a circle, remember? In crochet circles, too, ...

Author: Dora Ohrenstein

Publisher: Storey Publishing

ISBN: 9781612122472

Category: Crafts & Hobbies

Page: 256

View: 184


“A beautiful, stunning and informative resource . . . Dora Ohrenstein nailed it with this book. . . . [It] will transform your crochet” (Yarnovations). From choosing yarns, shapes, and styles to finishing off your project with flair, Dora Ohrenstein shows you how take your crocheted creations to the next level. This fun guide includes more than seventy stitch-along swatches that teach specific crochet techniques and five projects—a hat, shawl, neck warmer, bag, and scarf—that put your new skills to use. With a variety of stitch patterns and shaping types explained, you’ll be inspired to build upon Ohrenstein’s creations and develop your own sophisticated designs. “This book provides the knowledge to go past traditional granny squares to sophisticated techniques, elevating crocheters to the possibility of fascinating with inventive new ways to crochet . . . An all-in-one resource guide, The Crocheter’s Skill-Building Workshop encourages readers to experiment and try new techniques while giving them confidence to tackle any project.” —San Francisco Book Review “[Ohrenstein] provides many great tips to help you improve your crochet including finishing techniques, blocking techniques and even how to properly unravel a project . . . This book is great for crocheters of all skill levels.” —The Stitchin’ Mommy “I am thrilled that Dora Ohrenstein gives us not only step by step instructions, but also pictures to go along with each step in learning a new crochet technique. . . . A great addition to any crocheter’s library.” —Little Monkey Shop

The Complete Idiot s Guide to Amigurumi

You can create a flat circle by increasing by 6 stitches per round. Staggered increases keep the shape circular (left), while stacked increases start to form a hexagonal shape (right). If you stack all your increases on top of each ...

Author: June Gilbank

Publisher: Penguin

ISBN: 9781101464298

Category: Crafts & Hobbies

Page: 224

View: 470


Creating an Amigurumi of one's own... Amigurumi, the traditional Japanese art of knitted or crocheted stuffed figures, is a craft that is sweeping the country. In The Complete Idiot's Guide® to Amigurumi crafters will learn the basic stitches of crochet, how to make basic shapes (heads, arms, legs, torsos), stuffing techniques, and embellishments such as hair, eyes, and tassels. They will also learn how to make flowers and vegetables, and will acquire the tools to be able to let their imaginations run wild and create their own unique and adorable Amigurumi. Easy-to-follow instructions and patterns for the absolute beginner. The only book that teaches readers how to make their own Amigurumi (not just follow patterns) Includes several complete patterns Author is a foremost expert on Amigurumi

How to Fold It

The recounting of the history is drawn from the delightful book, How Round Is Your Circle, which includes a chapter on straight-line linkages, written in an accessible style. The fascinating story of The Turk is drawn from the book of ...

Author: Joseph O’Rourke

Publisher: Cambridge University Press

ISBN: 9781139498548

Category: Mathematics


View: 146


What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website,, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Body and Voice

Notice: How round your circle is? Are there areas in which it is difficult to maintain the circle? Does it feel more like a zigzag, oval, or some other strange shape? That is fine, just notice. As you continue making your circle, ...

Author: Marina Gilman

Publisher: Plural Publishing

ISBN: 9781597566612

Category: Music

Page: 272

View: 771


Introducing Language in Use

whe— where you left off (.) above the word house Yeah (0.7) circle up, okay? Yeah And round [to your le]ft (.) very gently [>°relative to°<] °Yeah.° Okay? [[°And-°] [[>Under the] flamiggo< (1.0) ((cough)) Well you're below the you'll be ...

Author: Aileen Bloomer

Publisher: Psychology Press

ISBN: 9780415291781

Category: Language Arts & Disciplines

Page: 491

View: 702


Introducing Language in Use is a comprehensive coursebook for students new to the study of language and linguistics. Written by a highly experienced team of teachers, this coursebook is lively and accessible, interactive and above all produced with students firmly in mind. Drawing on a vast range of data and examples of language in its many forms, the book provides students with the tools they need to analyse real language in diverse contexts. Designed to be highly adaptable for course use, the authors suggest a range of different routes through the book. Introducing Language in Use: covers all the core areas and topics of language study: language, semiotics and communication, grammar, phonetics, words, semantics, variety in language, history of English, world Englishes, multilingualism, psycholinguistics, child language acquisition, conversation analysis, pragmatics, power and politeness, language in education has chapters contributed by John Field and Sushie Dobbinson, expanding the range of expertise adopts a 'how to' approach, encouraging students to apply their knowledge as they learn it presents many examples, drawn from varied domains (including conversation, advertising and text messaging), always giving precedence to real language in use includes activities throughout the text with commentaries, summaries, suggestions for further reading and an extensive glossary of terms features a final unit which offers students further practice in analysing language in use is supported by a companion website, offering extra resources for students and instructors This will be an essential coursebook for all introductory courses in English language, language and communication and linguistics.

Hedge Witch

Walk round three times, stating that you draw the circle in the names of the Triple Goddess of the Circle of Rebirth and of the Horned God, both as a container of sacred powers, and as a protection. Replace your knife on the altar.

Author: Rae Beth

Publisher: The Crowood Press

ISBN: 9780719826863

Category: Body, Mind & Spirit

Page: 192

View: 168


Written in the form of letters from an experienced witch to her two apprentices, solitary witchcraft is offered, not as a substitute for coven worship, but as a fulfulling lifestyle in its own right. Rae Beth explains the importance of the Goddess and her consort, the Horned God, as sources of spiritual strength and worship. The author extols the feminine principles of healing and regeneration as well as attacking greed and self-interest which jeopardize the planet's very future. Rae Beth provides spells for all the key festivals of the witch's calendar; describes and outlines the Pagan approach to finding a partner. Her lyrical letters, accompanied by delicate pen-and-ink sketches, bring the reader towards a deeper understanding of the solitary witch's lifestyle and beliefs.

Paradoxes and Sophisms in Calculus

Figure 5.7 (the center of a rolling circle does not move up and down). ... First evenly space n points on the circle. ... Chapter 10 of How Round Is Your Circle?, [4] offers an engaging chapter on Reuleaux polygons in addition to solids ...

Author: Sergiy Klymchuk

Publisher: American Mathematical Soc.

ISBN: 9781614441106

Category: Mathematics

Page: 98

View: 595


Paradoxes and Sophisms in Calculus offers a delightful supplementary resource to enhance the study of single variable calculus. By the word paradox the [Author];s mean a surprising, unexpected, counter-intuitive statement that looks invalid, but in fact is true. The word sophism describes intentionally invalid reasoning that looks formally correct, but in fact contains a subtle mistake or flaw. In other words, a sophism is a false proof of an incorrect statement. A collection of over fifty paradoxes and sophisms showcases the subtleties of this subject and leads students to contemplate the underlying concepts. A number of the examples treat historically significant issues that arose in the development of calculus, while others more naturally challenge readers to understand common misconceptions. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored.