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 are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Resultat 1-5 av 74
Side 6
Equal and " fimilar folid Figures are thofe which are contained by fimilar " Planes of the fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be ...
Equal and " fimilar folid Figures are thofe which are contained by fimilar " Planes of the fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be ...
Side 196
That which bounds a folid is a fuperficies . III . A straight 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 ...
That which bounds a folid is a fuperficies . III . A straight 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 ...
Side 197
A folid angle is that which is made by the meeting of more See N. than two plane angles , which are not in the fame plane , in one point .. X. • The tenth definition is omitted for reafons given in the notes . ' See N. .XI .
A folid angle is that which is made by the meeting of more See N. than two plane angles , which are not in the fame plane , in one point .. X. • The tenth definition is omitted for reafons given in the notes . ' See N. .XI .
Side 198
A cylinder is a folid figure described by the revolution of a right angled parallelogram about one of its fides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
A cylinder is a folid figure described by the revolution of a right angled parallelogram about one of its fides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
Side 213
IF a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third .
IF a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third .
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole