The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vi
... solid angles of 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 ...
... solid angles of 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 ...
Page ix
... Solids : the first four Books treat 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 ...
... Solids : the first four Books treat 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 ...
Page x
... solids . There is no doubt but , before Euclid , Elements of Geo- metry were compiled by Hippocrates of Chios , Eudoxus , Leon , and many others , mentioned by Proclus in the begin- ning of his second book ; for he affirms that Euclid ...
... solids . There is no doubt but , before Euclid , Elements of Geo- metry were compiled by Hippocrates of Chios , Eudoxus , Leon , and many others , mentioned by Proclus in the begin- ning of his second book ; for he affirms that Euclid ...
Page 171
... SOLID is that which hath length , breadth and thickness . II . That which bounds a solid is a superficies . III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line ...
... SOLID is that which hath length , breadth and thickness . II . That which bounds a solid is a superficies . III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line ...
Page 172
... solid angles equal , each to each , and are contained by the same number of similar planes . XII . A pyramid is a solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet . XIII ...
... solid angles equal , each to each , and are contained by the same number of similar planes . XII . A pyramid is a solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet . XIII ...
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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