The Elements of Euclid |
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Side 50
RN . but CK is equal to RN , because they are the complements of the
parallelogram CO ; therefore also BN is equal to GR . and the four rectangles BN
, CK , GR , RN , are therefore equal to one another , and so are quadruple of one
of them ...
RN . but CK is equal to RN , because they are the complements of the
parallelogram CO ; therefore also BN is equal to GR . and the four rectangles BN
, CK , GR , RN , are therefore equal to one another , and so are quadruple of one
of them ...
Side 113
... of proportionals , fo as that they continue still to be proportionals . ' XIII .
Permutando , or Alternando , by Permutation , or alternately ; this word is used
when there are four proportionals , and it is infer - See Ni red , that the first has
the ...
... of proportionals , fo as that they continue still to be proportionals . ' XIII .
Permutando , or Alternando , by Permutation , or alternately ; this word is used
when there are four proportionals , and it is infer - See Ni red , that the first has
the ...
Side 463
... the ratio of which spaces is the next thing said to be given . and from this it
follows that four times the square of FE is to the square of GL , as four times the
rectangle BC , CD is to the square of BD ; and , by Composition , four times the
square ...
... the ratio of which spaces is the next thing said to be given . and from this it
follows that four times the square of FE is to the square of GL , as four times the
rectangle BC , CD is to the square of BD ; and , by Composition , four times the
square ...
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added alſo altitude angle ABC angle BAC baſe becauſe Book caſe circle circle ABCD circumference common cone cylinder Definition demonſtrated deſcribed diameter divided double draw drawn equal equal angles equiangular equimultiples exceſs fame fides firſt folid fore four fourth given angle given in poſition given in ſpecies given magnitude given ratio given ſtraight line greater Greek half join leſs likewiſe magnitude manner meet multiple muſt oppoſite parallel parallelogram perpendicular plane produced PROP proportionals Propoſition pyramid reaſon rectangle remaining right angles ſame ſecond ſegment ſhall ſhewn ſides ſimilar ſolid angle ſphere ſquare ſquare of AC taken theſe third thro triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfatter | Euclid |
| Redaktør | Robert Simson |
| Utgiver | A. Foulis, 1838 |
| Original fra | University of Virginia |
| Digitalisert | 6. okt 2010 |
| Lengde | 466 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |