The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side vi
... contained by no more than three 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 ...
... contained by no more than three 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 ...
Side vii
... contained by no more than three plane anglesnor of this case is there any demon- stration in the Elements we now have , though it is quite ne- cessary there should be one . Now , upon the 10th definition of this book depend the 25th and ...
... contained by no more than three plane anglesnor of this case is there any demon- stration in the Elements we now have , though it is quite ne- cessary there should be one . Now , upon the 10th definition of this book depend the 25th and ...
Side 10
... contained by AB , DB is named the angle ABD , or DBA ; and that which is contained by DB , CB is called the angle DBC , or CBD ; but if there be only one angle at a point , it may be ' expressed by the letter placed at that point ; as ...
... contained by AB , DB is named the angle ABD , or DBA ; and that which is contained by DB , CB is called the angle DBC , or CBD ; but if there be only one angle at a point , it may be ' expressed by the letter placed at that point ; as ...
Side 11
... contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are those ...
... contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are those ...
Side 16
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
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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