Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side 25
... because D A is equal to the right line AC , the in- gle ADC [ by prop . 5. ] will be equal to the angle ACL 5 but [ by ax . 9. ] the angle B C D is greater than the angle ACD ; therefore the angle ACD is greater than the angle A DC ...
... because D A is equal to the right line AC , the in- gle ADC [ by prop . 5. ] will be equal to the angle ACL 5 but [ by ax . 9. ] the angle B C D is greater than the angle ACD ; therefore the angle ACD is greater than the angle A DC ...
Side 26
... because the two fides c E , E D of the triangle CED are greater than the fide c D , let D B , which is common , be added ; then the right lines CE , EB are greater But the fides B A , A C , than the right lines CD , D B. have been ...
... because the two fides c E , E D of the triangle CED are greater than the fide c D , let D B , which is common , be added ; then the right lines CE , EB are greater But the fides B A , A C , than the right lines CD , D B. have been ...
Side 27
... because the point A B C F is the centre of the circle D K L , the right line F D is [ by def . 15. ] equal to the right line F K ; but FD is equal to the right line A : therefore alfo the right line F K is equal to A. Again , because ...
... because the point A B C F is the centre of the circle D K L , the right line F D is [ by def . 15. ] equal to the right line F K ; but FD is equal to the right line A : therefore alfo the right line F K is equal to A. Again , because ...
Side 28
... because he did not give them , I really think , are much miftaken ; he rather omitted them , because they could not be demonftrated but by propofitions he was not yet come to ; his conftant purpose being to admit nothing without first ...
... because he did not give them , I really think , are much miftaken ; he rather omitted them , because they could not be demonftrated but by propofitions he was not yet come to ; his conftant purpose being to admit nothing without first ...
Side 31
... because the fide B G is equal to the fide D E , and the fide B C to the fide E F , viz . the two fides B G , B C equal to the two fides DE , EF , each to each ; and the angle G B C is equal to the angle DEF ; therefore will the bafe GC ...
... because the fide B G is equal to the fide D E , and the fide B C to the fide E F , viz . the two fides B G , B C equal to the two fides DE , EF , each to each ; and the angle G B C is equal to the angle DEF ; therefore will the bafe GC ...
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
Populære passager
Side 247 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
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Side 56 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
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