Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
Dentro del libro
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Página vi
... definition of proportion- als , except that of EUCLID , has ever been given , from which their properties can be deduced by reafonings , which , at the fame time that they are perfectly rigorous , are alfo fimple and direct . As to the ...
... definition of proportion- als , except that of EUCLID , has ever been given , from which their properties can be deduced by reafonings , which , at the fame time that they are perfectly rigorous , are alfo fimple and direct . As to the ...
Página vii
... definitions in the first Book , and particularly on that of a ftraight line . A new Axiom is alfo introduced in the room of the 12th , for the purpose of demonftrating more easi- ly fome of the properties of parallel lines . In the ...
... definitions in the first Book , and particularly on that of a ftraight line . A new Axiom is alfo introduced in the room of the 12th , for the purpose of demonftrating more easi- ly fome of the properties of parallel lines . In the ...
Página xv
... above it ; and that , as he had not been careful in laying the founda- tion , he would never be fuccefsful in raifing the fuperftructure . COLLEGE OF EDINBURGH , Oct. 21. 1795 . ERRATA . Book III . Definitions , for Def . PREFAC E. XV.
... above it ; and that , as he had not been careful in laying the founda- tion , he would never be fuccefsful in raifing the fuperftructure . COLLEGE OF EDINBURGH , Oct. 21. 1795 . ERRATA . Book III . Definitions , for Def . PREFAC E. XV.
Página xvi
... Definitions , for Def . XL . read Def . IX . Book V. Prop . XXIV . line third of the Demonftration , read Because E : B :: F : D , by inverfion , B : E :: C : D. P. 263. fourth line , for 2 , read two . ELEMENTS OF GEOMETRY . “ A А BOOK ...
... Definitions , for Def . XL . read Def . IX . Book V. Prop . XXIV . line third of the Demonftration , read Because E : B :: F : D , by inverfion , B : E :: C : D. P. 263. fourth line , for 2 , read two . ELEMENTS OF GEOMETRY . “ A А BOOK ...
Página 1
... DEFINITIONS . I. Point is that which has pofition , but not magni- See Notes . - tude . " II . A line is length without breadth . " COROLLARY . The extremities of a line are points ; and " the interfections of one line with another are ...
... DEFINITIONS . I. Point is that which has pofition , but not magni- See Notes . - tude . " II . A line is length without breadth . " COROLLARY . The extremities of a line are points ; and " the interfections of one line with another are ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore