The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side iii
... MANNER CORRECTED . BY ROBERT SIMSON , M.D. Emeritus Professor of Mathematics in the University of Glasgow . TO THIS EDITION ARE ALSO ANNEXED , ' ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY JOHNSON AND ...
... MANNER CORRECTED . BY ROBERT SIMSON , M.D. Emeritus Professor of Mathematics in the University of Glasgow . TO THIS EDITION ARE ALSO ANNEXED , ' ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . PHILADELPHIA : PUBLISHED BY JOHNSON AND ...
Side vi
... manner , in the demonstration of the 26th prop . of the 11th book , it is taken for granted , that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed vi PREFACE .
... manner , in the demonstration of the 26th prop . of the 11th book , it is taken for granted , that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed vi PREFACE .
Side 23
... manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; where- fore the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible ; therefore twostraight lines can - A not have a ...
... manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; where- fore the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible ; therefore twostraight lines can - A not have a ...
Side 26
... manner , if the site BC be bisected , it may be demonstrated that the angle d 15. 1 . BCG , that is , the angle ACD , is greater than the angle ABC . Therefore , if one side , & c . Q. E. D. a 16. 1 . PROP . XVII . THEOR . ANY two ...
... manner , if the site BC be bisected , it may be demonstrated that the angle d 15. 1 . BCG , that is , the angle ACD , is greater than the angle ABC . Therefore , if one side , & c . Q. E. D. a 16. 1 . PROP . XVII . THEOR . ANY two ...
Side 27
... manner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles , Therefore any two angles , & c . Q. E. D. PROP . XVIII , THEOR . 2.9 THE greater side of every triangle is opposite to the greater ...
... manner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles , Therefore any two angles , & c . Q. E. D. PROP . XVIII , THEOR . 2.9 THE greater side of every triangle is opposite to the greater ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
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