Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side xi
... itself in its Place ) which fays , " If the Multiple of the First Magni- tude be equal to the Multiple of the Second , " the Multiple of the Third will be equal to the Multiple 66 66 Multiple of the Fourth , " Cannot exist when.
... itself in its Place ) which fays , " If the Multiple of the First Magni- tude be equal to the Multiple of the Second , " the Multiple of the Third will be equal to the Multiple 66 66 Multiple of the Fourth , " Cannot exist when.
Side xii
The First Six, the Eleventh and Twelfth Books Euclid. 66 Multiple of the Fourth , " Cannot exist when the Magnitudes are incommenfurable ; because when the First and Second , and the Third and Fourth Terms of Two equal Ratios , or Four ...
The First Six, the Eleventh and Twelfth Books Euclid. 66 Multiple of the Fourth , " Cannot exist when the Magnitudes are incommenfurable ; because when the First and Second , and the Third and Fourth Terms of Two equal Ratios , or Four ...
Side xiii
... Fourth Definition of it , and therefore they are all of the fame Kind , viz . Lines , Superficies , or Solids , & c . - If this be not granted , I am certain the Twelfth , Fourteenth , Sixteenth , and Twenty - fifth Propofitions of the ...
... Fourth Definition of it , and therefore they are all of the fame Kind , viz . Lines , Superficies , or Solids , & c . - If this be not granted , I am certain the Twelfth , Fourteenth , Sixteenth , and Twenty - fifth Propofitions of the ...
Side 64
... fourth , fecond and fifth , third and fixth ) will be equal to one another ; thirdly , any diagonal joining two of thofe oppofite angles , will divide the figure into two equal parts . G B C For let ABCDEF be a right - lined figure ...
... fourth , fecond and fifth , third and fixth ) will be equal to one another ; thirdly , any diagonal joining two of thofe oppofite angles , will divide the figure into two equal parts . G B C For let ABCDEF be a right - lined figure ...
Side 65
... ( viz . the firft and fourth , fecond and fifth , third and fixth ) will be equal to one another : Thirdly , any diagonal joining two of those F oppofite oppofite angles , will divide the figure into two equal Book I. 65 ADDITIONS .
... ( viz . the firft and fourth , fecond and fifth , third and fixth ) will be equal to one another : Thirdly , any diagonal joining two of those F oppofite oppofite angles , will divide the figure into two equal Book I. 65 ADDITIONS .
Andre udgaver - Se alle
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2016 |
Almindelige termer og sætninger
A B C D alfo alſo angle ABC becauſe the angle bifected centre circle A B C circumference cone confequent cylinder defcribed demonftrated diameter equal angles equiangular equimultiples Euclid EUCLID's ELEMENTS fame altitude fame multiple fame ratio fame reafon fecond fegment femidiameter fhall fides A B fimilar fince firft firſt fixth folid angle folid parallelepipedon fome fphere ftand given circle given right line given triangle greater infcribed interfect join leffer lefs leſs parallel parallelogram perpendicular polygon prifm PROP propofition proportional pyramid rectangle contained regular polygon remaining angle right angles right line A B right lined figure right-lined SCHOLIUM ſquare thefe THEOR theſe thofe thoſe trapezium triangle ABC twice the fquare vertex the point Wherefore whofe bafe whoſe baſe
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