The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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Seite iii
... PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY JOHNSON AND WARNER , AND SOLD AT THEIR BOOKSTORES IN PHILADELPHIA , RICHMOND , ( Vir . ) AND LEXINGTON , ( Ken . ) The UNIVERSITY OF CHICAGO LIBRARY @ A457 PREFACE . THE ...
... PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY JOHNSON AND WARNER , AND SOLD AT THEIR BOOKSTORES IN PHILADELPHIA , RICHMOND , ( Vir . ) AND LEXINGTON , ( Ken . ) The UNIVERSITY OF CHICAGO LIBRARY @ A457 PREFACE . THE ...
Seite vi
... plane angles ; for , in other cases , two solid figures may be contained by similar planes of the same number and magnitude , 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 magnitude , and yet be unequal to one another ; as shall be made evident in the notes subjoined to these Elements . In ...
Seite vii
Euclid Robert Simson. 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 anglesnor of ...
Euclid Robert Simson. 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 anglesnor of ...
Seite viii
... a learned gen- tleman . 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. viii ...
... a learned gen- tleman . 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. viii ...
Seite 9
... plane superficies is that in which any two points being taken , See N. the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another See N. " in a plane , which ...
... plane superficies is that in which any two points being taken , See N. the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another See N. " in a plane , which ...
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore