Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side viii
... exceed them all , especially as to method and elegance of demon- ftration . As to the fifteen books of Euclid's Elements , it is true there are some of more importance and use than others in the geometry requifite to the necef- fary ...
... exceed them all , especially as to method and elegance of demon- ftration . As to the fifteen books of Euclid's Elements , it is true there are some of more importance and use than others in the geometry requifite to the necef- fary ...
Side xii
... exceed the " other ; " which I think was put down rather to fhew that a Line and Superficies , or a Solid , & c . have no Ratio at all to one another , being quite incomparable according to Quantity . - Moreover , I do not know how ...
... exceed the " other ; " which I think was put down rather to fhew that a Line and Superficies , or a Solid , & c . have no Ratio at all to one another , being quite incomparable according to Quantity . - Moreover , I do not know how ...
Side 20
... exceeds the right angle E B D , by fo much is the remaining angle A B C exceeded by the right angle E B C ; for as there the angle A B E is the excefs , fo is the fame angle A B E here the deficiency . Wherefore it neceffarily follows ...
... exceeds the right angle E B D , by fo much is the remaining angle A B C exceeded by the right angle E B C ; for as there the angle A B E is the excefs , fo is the fame angle A B E here the deficiency . Wherefore it neceffarily follows ...
Side 63
... exceeds the angle FA C , by twice the angle B FC ; and fo the angle BFC will be one half the difference of them . Wherefore in every triangle , the angle contained under the perpendicular drawn from the angle oppofite to the bafe upon ...
... exceeds the angle FA C , by twice the angle B FC ; and fo the angle BFC will be one half the difference of them . Wherefore in every triangle , the angle contained under the perpendicular drawn from the angle oppofite to the bafe upon ...
Side 98
... exceeds the fquares of AE , E B by twice the rectangle under A E , E D ( because the right line A c is bifected , and CD is added to it ) . And the fquare of B C [ by 12. 2. ] is less than their fum by twice the rectangle under c E ...
... exceeds the fquares of AE , E B by twice the rectangle under A E , E D ( because the right line A c is bifected , and CD is added to it ) . And the fquare of B C [ by 12. 2. ] is less than their fum by twice the rectangle under c E ...
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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