The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected : and Some of Euclid's Demonstrations Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
Inni boken
Resultat 1-5 av 77
Side 6
... folid angles of the Figures is contained by no more than three plane Angles ; for , in other Cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Mag- nitude , and yet be unequal to one another ; as shall ...
... folid angles of the Figures is contained by no more than three plane Angles ; for , in other Cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Mag- nitude , and yet be unequal to one another ; as shall ...
Side 196
... folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A plane is perpendicular to a plane , when the ...
... folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A plane is perpendicular to a plane , when the ...
Side 197
... folid figures are fuch as have all their folid angles equal , See N. each to each , and which are contained by the fame number of fimilar planes . XII . A pyramid is a folid figure contained by planes that are confti- . tuted betwixt ...
... folid figures are fuch as have all their folid angles equal , See N. each to each , and which are contained by the fame number of fimilar planes . XII . A pyramid is a folid figure contained by planes that are confti- . tuted betwixt ...
Side 198
... folid figure contained by fix equal fquares . XXVI . A tetrahedron is a folid figure contained by four equal and e- quilateral triangles . XXVII . An octahedron is a folid figure contained by eight equal and equilateral triangles ...
... folid figure contained by fix equal fquares . XXVI . A tetrahedron is a folid figure contained by four equal and e- quilateral triangles . XXVII . An octahedron is a folid figure contained by eight equal and equilateral triangles ...
Side 213
... folid angle at A be contained by the three plane an- gles BAC , CAD , DAB . Any two of them are greater than the ... folid angle , & c . Q. E. D. E PROP . XXI . B THEOR . EC VERY folid angle is contained by plain angles which together ...
... folid angle at A be contained by the three plane an- gles BAC , CAD , DAB . Any two of them are greater than the ... folid angle , & c . Q. E. D. E PROP . XXI . B THEOR . EC VERY folid angle is contained by plain angles which together ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore