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 σελίδες |
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Σελίδα x
... cylinder con- cludes the eight Book , and is a propofition that may not improperly be confidered as terminating the elementary part of Geometry . In the beginning of the Book just mentioned , I have treated pretty fully of the ...
... cylinder con- cludes the eight Book , and is a propofition that may not improperly be confidered as terminating the elementary part of Geometry . In the beginning of the Book just mentioned , I have treated pretty fully of the ...
Σελίδα 206
... cylinder are the circles defcribed by the twe revolving oppofite fides of the parallelogram . XXIII . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . 1 PROP . Book VII . Ο ...
... cylinder are the circles defcribed by the twe revolving oppofite fides of the parallelogram . XXIII . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . 1 PROP . Book VII . Ο ...
Σελίδα 271
... cylinder a straight line be drawn per- pendicular to the plane of the bafe , it will be wholly in the cylindric fuperficies . Let ABCD be a cylinder , of which the bafe is the circle AEB , DFC the circle oppofite to the bafe , and GH ...
... cylinder a straight line be drawn per- pendicular to the plane of the bafe , it will be wholly in the cylindric fuperficies . Let ABCD be a cylinder , of which the bafe is the circle AEB , DFC the circle oppofite to the bafe , and GH ...
Σελίδα 272
... cylinder , for it defcribes that fuperficies ; therefore , LF is alfo in the fuperficies of the cylinder . Therefore , & c . Q. E. D. A ther . PROP . X. THEOR . CYLINDER and a parallelepiped having equal bafes and altitudes are equal to ...
... cylinder , for it defcribes that fuperficies ; therefore , LF is alfo in the fuperficies of the cylinder . Therefore , & c . Q. E. D. A ther . PROP . X. THEOR . CYLINDER and a parallelepiped having equal bafes and altitudes are equal to ...
Σελίδα 273
... cylinder , because it is within it b ; Book VIII . and if through the point R a plane RS parallel to NF be made to ... cylinder ABCD , and the cylinder ABCD is e- qual to the paralelepiped EQ , by hypothefis ; therefore , ES is less than ...
... cylinder , because it is within it b ; Book VIII . and if through the point R a plane RS parallel to NF be made to ... cylinder ABCD , and the cylinder ABCD is e- qual to the paralelepiped EQ , by hypothefis ; therefore , ES is less than ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With Two ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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