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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 5
... 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 opinions of ...
... 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 opinions of ...
Side 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 .
Side 195
... sphere is a solid figure described by the revolution of a se- micircle about its diameter , which remains unmoved . XV . The axis of a sphere is the fixed straight line about which the semicircle revolves . XVI . The centre of a sphere ...
... sphere is a solid figure described by the revolution of a se- micircle about its diameter , which remains unmoved . XV . The axis of a sphere is the fixed straight line about which the semicircle revolves . XVI . The centre of a sphere ...
Side 284
... sphere . Let the spheres be cut by a plane passing through the centre ; the common sections of it with the spheres shall be circles : be- cause the sphere is described by the revolution of a semicircle about the diameter remaining ...
... sphere . Let the spheres be cut by a plane passing through the centre ; the common sections of it with the spheres shall be circles : be- cause the sphere is described by the revolution of a semicircle about the diameter remaining ...
Side 286
... drants , and in the other hemisphere ; there shall be form- ed a solid polyhedron described in the sphere , composed of py- ramids , the bases of which are the aforesaid quadrilateral. 286 BOOK XII . THE ELEMENTS OF EUCLID .
... drants , and in the other hemisphere ; there shall be form- ed a solid polyhedron described in the sphere , composed of py- ramids , the bases of which are the aforesaid quadrilateral. 286 BOOK XII . THE ELEMENTS OF EUCLID .
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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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