The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vi
... figures is 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 ...
... figures is 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 ...
Page vii
... figures in a circle , is added at the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on ...
... figures in a circle , is added at the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on ...
Page ix
... figures ; the 7th , 8th , and 9th , give us the funda- mental properties of numbers ; the 10th contains the theory of commensurable and incommensurable lines and spaces ; the 11th , 12th , 13th , 14th and 15th SHORT ACCOUNTS SHORT ...
... figures ; the 7th , 8th , and 9th , give us the funda- mental properties of numbers ; the 10th contains the theory of commensurable and incommensurable lines and spaces ; the 11th , 12th , 13th , 14th and 15th SHORT ACCOUNTS SHORT ...
Page 3
... figure is that which is enclosed by one or more boun- daries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure ...
... figure is that which is enclosed by one or more boun- daries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure ...
Page 5
... figures besides these , are called Trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line ...
... figures besides these , are called Trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn 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