The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |
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Page 5
... PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY THOMAS DESILVER , No. 253 , MARKET STREET , AND ROBERT DESILVER , No. 110 , WALNUT STREET . LYDIA R. BAILEY , PRINTER . QA451 S51 INDIANA UNIVERSITY LIBRARY PREFACE . THE ...
... PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY THOMAS DESILVER , No. 253 , MARKET STREET , AND ROBERT DESILVER , No. 110 , WALNUT STREET . LYDIA R. BAILEY , PRINTER . QA451 S51 INDIANA UNIVERSITY LIBRARY PREFACE . THE ...
Page 8
... plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and mag- nitude , and yet be unequal to one another , as shall be made evident in the Notes subjoined to these Elements . In ...
... plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and mag- nitude , and yet be unequal to one another , as shall be made evident in the Notes subjoined to these Elements . In ...
Page 9
... plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the solid angles are contained by no more than three plane angles ; nor of this case is there ...
... plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the solid angles are contained by no more than three plane angles ; nor of this case is there ...
Page 10
... assistance of a learned gentleman . To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. PREFACE .
... assistance of a learned gentleman . To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. PREFACE .
Page 11
... plane superficies is that in which any two points being taken , * the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another * in a plane , which meet together ...
... plane superficies is that in which any two points being taken , * the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another * in a plane , which meet together ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore