Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.

Everything you need to know about the hit TV show, My Little Pony: Friendship is Magic. Character bios, episode guides, and maps are just the beginning! The second volume of the wildly popular My Little Pony: The Elements of Harmony: Friendship is Magic: The Official Guidebook features seasons 4 through 6, highlights of which include Princess Twilight Sparkle, the Castle of Friendship, the Defeat of Lord Tirek, the Equestria Games, the appearance of Starlight Glimmer, the birth of Princess Flurry Heart, and much more! Don't miss the guide to the friendship lessons Twilight Sparkle and her friends have learned-and live your life in harmony with all other creatures!

The second book in an epic middle grade series with awesome elemental powers, nightmarish creatures, and nonstop adventure that will thrill kids who love Avatar: The Last Airbender, Rick Riordan, and Brandon Mull. Five elements. Two worlds. One city…and one chance to save it. In the past two weeks, Gabe Conway has fought a six-winged dragon, bound himself to the element of fire, and rescued one of his best friends from the twisted parallel dimension known as Arcadia. Now he has to find a way to do something even more impossible: destroy Arcadia forever—before a sinister cult unleashes its nightmare of death and destruction across San Francisco. “Thrilling entertainment. This fast-paced fantasy adventure should please readers of Cassandra Clare and Holly Black’s Magisterium series.”—School Library Journal

Running Heatherfield's Ye Olde Book Shop isn't the new life Cedric wanted for himself, but it may have given the perfect opportunity for revenge! With the Book of Elements and the secrets it contains, Cedric's found the power he needs to finish the Guardians once and for all, but is that what he really wants...?

(Essential Elements for Strings). (Essential Elements for Strings and Essential Elements Interactive are fully compatible with Essential Elements 2000 for Strings) Essential Elements for Strings offers beginning students sound pedagogy and engaging music, all carefully paced to successfully start young players on their musical journey. EE features both familiar songs and specially designed exercises, created and arranged for the classroom in a unison-learning environment, as well as instrument-specific exercises to focus each student on the unique characteristics of their own instrument. EE provides both teachers and students with a wealth of materials to develop total musicianship, even at the beginning stages. Books 1 and 2 also include access to Essential Elements Interactive (EEi) , the ultimate online music education resource - anywhere, anytime, and on any device. Go to www.essentialelementsinteractive.com to learn more! Method features: * Enhanced Starting System * Optimum Reinforced Learning * Pacing * Theory, History, Cross-Curriculum & Creativity * Performance Spotlights Book also includes My EE Library * (www.myeelibrary.com) - Instant Stream/Download/CD-ROM* * Start-up video Learn the basics * Play-along mp3 tracks for all exercises Features a professional orchestra * Duets and trios Print and play parts with friends * Music listening library Hear great pieces for orchestra! *Internet access required for My EE Library . Book includes instructions to order free opt. CD-ROM.

Everypony is sure to love the abridged, digital-only edition of The Official Guidebook! Inside they will find everything they need to know about the hit TV show, My Little Pony: Friendship is Magic. Character bios and a map of Equestria are just the beginning of this gorgeous book. Don't miss the complete lyrics to all the songs, a collection of Letters to Princess Celestia, and much much more! (Full episode guide excluded from abridged edition.)