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machine drawing

This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the text that can both be accessed online and used to create new print copies. This book and thousands of others can be found in the digital collections of the University of Michigan Library. The University Library also understands and values the utility of print, and makes reprints available through its Scholarly Publishing Office.

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college algebra

QUADRATIC EQUATIONS.203XIX. QUADRATIC EQUATIONS.339. A Quadratic Equation is an equation of the second degree (Art. 179), containing but one unknown quantity.A Pure Quadratic Equation is a quadratic equation involving only the square of the unknown quantity ;An Affected Quadratic Equation is a quadratic equation involving both the square and the first power of the unknown quantity ; as, 2x* - 3 x - 5 = 0.PURE QUADRATIC EQUATIONS.340. A pure quadratic equation may be solved by reducing it, if necessary, to the form x2 = a, and then extracting the square root of both members.5 a,"21. Solve the equation 3 x2 + 7 = + 35.Clearing of fractions, 12 x2 + 28 = 5 x2 +140.Transposing and uniting, 7 x2 = 112, or, x2 = 16 ;which is in the form x2 = a.Extracting the square root of both members, we havea = ±4. (Notes 1 and 2.)Note 1. The sign ± is placed before the result, because the square root of a number is either positive or negative (Art. 236).Note 2. ITable of Contents CONTENTS; PAGE; I Definitions and Notation 1; II Fundamental Operations 9; III Addition ; Subtraction ; Use of Parentheses 24; IV Multiplication 29; V Division 36; VI Formulae 41; VII Factoring 50; VIII Highest Common Factor 59; IX Lowest Common Multiple 66; X Fractions 70; XI Simple Equations containing one Unknown; Quantity 85; XII Simple Equations containing two or more; Unknown Quantities 98; XIII Discussion of Simple Equations 113; XIV Inequalities 124; XV Involution 130; XVI- Evolution 136; XVII Surds; the Theory of Exponents 1G4; XVIII Imaginary Numbers 100; XIX Quadratic Equations 203; XX Theory of Quadratic Equations 221; XXI Problems involving Quadratic Equations 234 XXII Equations Solved like Quadratics 239 XXIIT Simultaneous Equations involving Quadratics 246; XXIV Indeterminate Equ

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Phonetic studies in folk speech and broken English, for use on stage, screen, radio, platform and in school and college

Includes three original sketches: The hospital quilt, Mrs. Muldooney cleans the office, The communist

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Algebra for beginners : with numerous examples

Audrey Miller Laurie Collection of Canadiana: DBWRCT copy 1

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Algebra for beginners : with numerous examples

Audrey Miller Laurie Collection of Canadiana: DBWRCT copy 1

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Composition from models, for use in schools and colleges

Includes bibliographical references 24 26

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Analytic geometry

"In the preparation of the book the authors have used as a foundation a pamphlet written by Professor William Beebe."--Pref

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The Elements of Euclid; with select theorems out of Archimedes

Title vignettes

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The elder brother. A comedy. First printed in 1637; now reprinted with slight alterations and abridgement for use on occasions of entertainment, especially in schools and colleges

Acts I and V ascribed to Massinger who probably completed the play after Fletcher's death

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Elements of conchology / Prepared for the use of schools and colleges

At head of title: Ruschenberger's series extracted picklist

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