The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 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 like ...
... 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 like ...
Page ix
... planes only ; the fifth of the pro- portions of magnitudes in general ; the 6th of the proportion of plane figures ; the 7th , 8th , and 9th , give us the funda- mental properties of numbers ; the 10th contains the theory of ...
... planes only ; the fifth of the pro- portions of magnitudes in general ; the 6th of the proportion of plane figures ; the 7th , 8th , and 9th , give us the funda- mental properties of numbers ; the 10th contains the theory of ...
Page 1
... plane superficies is that in which any two points be- See N. ing taken , the straight line between them lies wholly in that superficies . B See N. VIII . " A plane angle is the.
... plane superficies is that in which any two points be- See N. ing taken , the straight line between them lies wholly in that superficies . B See N. VIII . " A plane angle is the.
Page 2
... plane angle is the inclination of two lines to one " another in a plane , which meet together , but are " not in the same direction . ' IX . " " A plane rectilineal angle is the inclination of two straight lines to one another , which ...
... plane angle is the inclination of two lines to one " another in a plane , which meet together , but are " not in the same direction . ' IX . " " A plane rectilineal angle is the inclination of two straight lines to one another , which ...
Page 5
... plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to ...
... plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to ...
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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