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Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Book Synopsis Ruler and Compass by : Andrew Sutton
Download or read book Ruler and Compass written by Andrew Sutton and published by Bloomsbury Publishing USA. This book was released on 2009-11-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
Book Synopsis Geometric Constructions by : George E. Martin
Download or read book Geometric Constructions written by George E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
In this series of overlapping essays on architecture and art, JohnRajchman attempts to do theory in a new way that takes off from the philosophy of the late Gilles Deleuze. foreword by Paul Virilio. In this series of overlapping essays on architecture and art, John Rajchman attempts to do theory in a new way that takes off from the philosophy of the late Gilles Deleuze. Starting from notions of folding, lightness, ground, abstraction, and future cities, he embarks on a conceptual voyage whose aim is to help "construct" a new space of connections, to "build" a new idiom, perhaps even to suggest a new architecture. Along the way, he addresses questions of the new abstraction, operative form, other geometries, new technologies, global cities, ideas of the virtual and the formless, and possibilities for critical theory after utopia and transgression.
Book Synopsis Constructions by : John Rajchman
Download or read book Constructions written by John Rajchman and published by MIT Press. This book was released on 1998-02-20 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this series of overlapping essays on architecture and art, JohnRajchman attempts to do theory in a new way that takes off from the philosophy of the late Gilles Deleuze. foreword by Paul Virilio. In this series of overlapping essays on architecture and art, John Rajchman attempts to do theory in a new way that takes off from the philosophy of the late Gilles Deleuze. Starting from notions of folding, lightness, ground, abstraction, and future cities, he embarks on a conceptual voyage whose aim is to help "construct" a new space of connections, to "build" a new idiom, perhaps even to suggest a new architecture. Along the way, he addresses questions of the new abstraction, operative form, other geometries, new technologies, global cities, ideas of the virtual and the formless, and possibilities for critical theory after utopia and transgression.
The darkly comic second novel from the author of the Man Booker Prize winner Milkman, now available in the United States In the small town of Tiptoe Floorboard, the Doe clan, a close-knit family of criminals and victims, has the run of the place. Yet there are signs that patriarch John Doe’s reign may be coming to an end. When Jetty Doe breaks into a gun store and makes off with a Kalashnikov, the stage is set for a violent confrontation. But while Jetty is making her way across town in a taxi, an elusive, chatty narrator takes us on a wild journey, zooming in and out on various members of the Doe clan with long, digressive riffs that chase down the causes and repercussions of Jetty’s act. Before Milkman took the world by storm after winning the Man Booker Prize, Anna Burns had already honed her distinctive voice. In her second novel, Little Constructions, she exhibits the same linguistic brio, coruscating wit, and scintillating insight into men, women, and the roots of violence. A wickedly funny novel that swoops and spirals as it examines the long shadow of abuse and violent crime, Little Constructions explores what transpires when unspeakable realities, long hidden from view, can no longer be denied.
Book Synopsis Little Constructions by : Anna Burns
Download or read book Little Constructions written by Anna Burns and published by Graywolf Press. This book was released on 2020-02-18 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The darkly comic second novel from the author of the Man Booker Prize winner Milkman, now available in the United States In the small town of Tiptoe Floorboard, the Doe clan, a close-knit family of criminals and victims, has the run of the place. Yet there are signs that patriarch John Doe’s reign may be coming to an end. When Jetty Doe breaks into a gun store and makes off with a Kalashnikov, the stage is set for a violent confrontation. But while Jetty is making her way across town in a taxi, an elusive, chatty narrator takes us on a wild journey, zooming in and out on various members of the Doe clan with long, digressive riffs that chase down the causes and repercussions of Jetty’s act. Before Milkman took the world by storm after winning the Man Booker Prize, Anna Burns had already honed her distinctive voice. In her second novel, Little Constructions, she exhibits the same linguistic brio, coruscating wit, and scintillating insight into men, women, and the roots of violence. A wickedly funny novel that swoops and spirals as it examines the long shadow of abuse and violent crime, Little Constructions explores what transpires when unspeakable realities, long hidden from view, can no longer be denied.
Curious about constructions? Inside this book, you'll come face-to-face with 50 incredible structures, including: a fire-breathing octopus sculpture; the skateboard ramp you'd need to jump the Great Wall of China; a whole community of tree houses in Costa Rica; and a lifesize X-Wing Starfighter built of Legos. These and many more fascinating accounts of constructions both fantastically useful and gloriously unnecessary await inquisitive readers, aspiring engineers, and anyone who ever looked at a skyscraper and thought, "Yeah, but what if it had a roller coaster on top?"
Book Synopsis Curious Constructions by : Michael Hearst
Download or read book Curious Constructions written by Michael Hearst and published by Chronicle Books. This book was released on 2017-04-25 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curious about constructions? Inside this book, you'll come face-to-face with 50 incredible structures, including: a fire-breathing octopus sculpture; the skateboard ramp you'd need to jump the Great Wall of China; a whole community of tree houses in Costa Rica; and a lifesize X-Wing Starfighter built of Legos. These and many more fascinating accounts of constructions both fantastically useful and gloriously unnecessary await inquisitive readers, aspiring engineers, and anyone who ever looked at a skyscraper and thought, "Yeah, but what if it had a roller coaster on top?"
This book combines a fieldwork-based language-specific analysis with a typological investigation. It offers a detailed and comprehensive analysis of the form and semantics of experiencer constructions in Yucatec, the Mayan language of the Yucatecan peninsula in Mexico. Since the linguistic expression of experience is not restricted to a specific grammatical area the study touches a great variety of grammatical fields in the language such as argument structure, grammatical relations, possessive constructions, subordinate constructions, etc. The empirical analysis of the Yucatec data is preceded by a thorough examination of the functional domain and the cross-linguistic coding of experience which until now could not be found in the literature. This study will be of interest to scholars working in the fields of typology and Native American linguistics, and especially to those interested in argument structure and the syntax-semantics interface.
Book Synopsis Experiential Constructions in Yucatec Maya by : Elisabeth Verhoeven
Download or read book Experiential Constructions in Yucatec Maya written by Elisabeth Verhoeven and published by John Benjamins Publishing. This book was released on 2007-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines a fieldwork-based language-specific analysis with a typological investigation. It offers a detailed and comprehensive analysis of the form and semantics of experiencer constructions in Yucatec, the Mayan language of the Yucatecan peninsula in Mexico. Since the linguistic expression of experience is not restricted to a specific grammatical area the study touches a great variety of grammatical fields in the language such as argument structure, grammatical relations, possessive constructions, subordinate constructions, etc. The empirical analysis of the Yucatec data is preceded by a thorough examination of the functional domain and the cross-linguistic coding of experience which until now could not be found in the literature. This study will be of interest to scholars working in the fields of typology and Native American linguistics, and especially to those interested in argument structure and the syntax-semantics interface.
Eat up the apple or Eat the apple up? Is there any difference in the messages each of these alternative forms sends? If there isn't, why bother to keep both? On the other hand, is there any semantic similarity between eat the apple up and break the glass to pieces? This study takes a fresh look at a still controversial issue of phrasal verbs and their alternate word order applying sign-oriented theory and methodology. Unlike other analyses, it asserts that there is a semantic distinction between the two word order variants phrasal verbs may appear in. In order to test this distinction, the author analyzes a large corpus of data and also uses translation into a language having a clear morphological distinction between resultative/non-resultative forms (Russian). As follows from the analysis, English has morphological and syntactic tools to express resultative meaning, which allows suggesting a new lexico-grammatical category resultativeness.
Book Synopsis Phrasal Constructions and Resultativeness in English by : Marina Gorlach
Download or read book Phrasal Constructions and Resultativeness in English written by Marina Gorlach and published by John Benjamins Publishing. This book was released on 2004 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eat up the apple or Eat the apple up? Is there any difference in the messages each of these alternative forms sends? If there isn't, why bother to keep both? On the other hand, is there any semantic similarity between eat the apple up and break the glass to pieces? This study takes a fresh look at a still controversial issue of phrasal verbs and their alternate word order applying sign-oriented theory and methodology. Unlike other analyses, it asserts that there is a semantic distinction between the two word order variants phrasal verbs may appear in. In order to test this distinction, the author analyzes a large corpus of data and also uses translation into a language having a clear morphological distinction between resultative/non-resultative forms (Russian). As follows from the analysis, English has morphological and syntactic tools to express resultative meaning, which allows suggesting a new lexico-grammatical category resultativeness.
This book presents the first systematic typological analysis of applicatives across African, American Indian, and East Asian languages. It is also the first to address their functions in discourse, the derivation of their semantic and syntactic properties, and how and why they have changed over time. Applicative constructions are typically described as transitivizing because they allow an intransitive base verb to have a direct object. The term originates from the seventeenth-century missionary grammars of Uto-Aztecan languages. Constructions designated as prepositional, benefactive, and instrumental may refer to the same or similar phenomena. Applicative constructions have been deployed in the development of a range of syntactic theories which have then often been used to explain their functions, usually within the context of Bantu languages. Dr Peterson provides a wealth of cross-linguistic information on discourse-functional, diachronic, and typological aspects of applicative constructions. He documents their unexpected synchronic variety and the diversity of diachronic sources about them. He argues that many standard assumptions about applicatives are unfounded, and provides a clear guide for future language-specific and cross-linguistic research and analysis.
Book Synopsis Applicative Constructions by : David A. Peterson
Download or read book Applicative Constructions written by David A. Peterson and published by Oxford University Press on Demand. This book was released on 2007 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first systematic typological analysis of applicatives across African, American Indian, and East Asian languages. It is also the first to address their functions in discourse, the derivation of their semantic and syntactic properties, and how and why they have changed over time. Applicative constructions are typically described as transitivizing because they allow an intransitive base verb to have a direct object. The term originates from the seventeenth-century missionary grammars of Uto-Aztecan languages. Constructions designated as prepositional, benefactive, and instrumental may refer to the same or similar phenomena. Applicative constructions have been deployed in the development of a range of syntactic theories which have then often been used to explain their functions, usually within the context of Bantu languages. Dr Peterson provides a wealth of cross-linguistic information on discourse-functional, diachronic, and typological aspects of applicative constructions. He documents their unexpected synchronic variety and the diversity of diachronic sources about them. He argues that many standard assumptions about applicatives are unfounded, and provides a clear guide for future language-specific and cross-linguistic research and analysis.
The last three decades have seen the emergence of Construction Grammar as a major research paradigm in linguistics. At the same time, very few researchers have taken a constructionist perspective on language contact phenomena. This volume brings together, for the first time, a broad range of original contributions providing insights into language contact phenomena from a constructionist perspective. Focusing primarily on Germanic languages, the papers in this volume demonstrate how the notion of construction can be fruitfully applied to investigate how a range of different language contact phenomena can be systematically analyzed from the perspectives of both form and meaning.
Book Synopsis Constructions in Contact by : Hans C. Boas
Download or read book Constructions in Contact written by Hans C. Boas and published by John Benjamins Publishing Company. This book was released on 2018-12-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last three decades have seen the emergence of Construction Grammar as a major research paradigm in linguistics. At the same time, very few researchers have taken a constructionist perspective on language contact phenomena. This volume brings together, for the first time, a broad range of original contributions providing insights into language contact phenomena from a constructionist perspective. Focusing primarily on Germanic languages, the papers in this volume demonstrate how the notion of construction can be fruitfully applied to investigate how a range of different language contact phenomena can be systematically analyzed from the perspectives of both form and meaning.
This book presents a detailed analysis of the Chinese pivotal constructions (PVCs) and their diachronic developments from a constructionalist perspective, with the focus on the growth of the constructional hierarchies of these constructions and the changes with respect to both the form and meaning properties over time. The most important enabling factor behind the diachronic developments of the PVCs has been the sanction of the new instances conflicting with the constructions’ specifications. Throughout history the PVCs have grown along the two dimensions, i.e., inclusiveness and multileveledness, leading to a steady increase in the sizes of their constructional hierarchies. The two-dimensional expansion of the PVCs’ constructional hierarchies has been accompanied by the gradual relaxation of the conditions constraining the earliest instances, on multiple schematicity levels. This book will be valuable to scholars working on diachronic construction grammar and language change as well as to those interested in the history of Chinese language.
Book Synopsis Pivotal Constructions in Chinese by : Rui Peng
Download or read book Pivotal Constructions in Chinese written by Rui Peng and published by John Benjamins Publishing Company. This book was released on 2017-03-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed analysis of the Chinese pivotal constructions (PVCs) and their diachronic developments from a constructionalist perspective, with the focus on the growth of the constructional hierarchies of these constructions and the changes with respect to both the form and meaning properties over time. The most important enabling factor behind the diachronic developments of the PVCs has been the sanction of the new instances conflicting with the constructions’ specifications. Throughout history the PVCs have grown along the two dimensions, i.e., inclusiveness and multileveledness, leading to a steady increase in the sizes of their constructional hierarchies. The two-dimensional expansion of the PVCs’ constructional hierarchies has been accompanied by the gradual relaxation of the conditions constraining the earliest instances, on multiple schematicity levels. This book will be valuable to scholars working on diachronic construction grammar and language change as well as to those interested in the history of Chinese language.
