The Elements of Euclid |
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Side 119
V. The first of four magnitudes is said to have the same ratio to the second , which
the third . has to the fourth , when any equimultiples whatsoever of the first and
third being taken , and any equimultiples whatsoever of the second and fourth ; if
...
V. The first of four magnitudes is said to have the same ratio to the second , which
the third . has to the fourth , when any equimultiples whatsoever of the first and
third being taken , and any equimultiples whatsoever of the second and fourth ; if
...
Side 120
Book V. 4 that of the fourth ; or , if the multiple of the first be greated “ than that of
the second , the multiple of the third is also greater than that of the fourth . VI .
Magnitudes which have the same ratio are called proportionals . N. B. " When
four ...
Book V. 4 that of the fourth ; or , if the multiple of the first be greated “ than that of
the second , the multiple of the third is also greater than that of the fourth . VI .
Magnitudes which have the same ratio are called proportionals . N. B. " When
four ...
Side 121
Permutando , or alternando , by permutation , or alternately ; this See Note : word
is used when there are four proportionals , and it is inferred , that the first has the
same ratio to the third , which the second has to the fourth ; or that the first is to ...
Permutando , or alternando , by permutation , or alternately ; this See Note : word
is used when there are four proportionals , and it is inferred , that the first has the
same ratio to the third , which the second has to the fourth ; or that the first is to ...
Side 122
Book V. second , as the third to its excess above the fourth . Prop . E , book 5 .
XVIII . Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when
there is any number of magnitudes more than two , and as many others , so that
they ...
Book V. second , as the third to its excess above the fourth . Prop . E , book 5 .
XVIII . Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when
there is any number of magnitudes more than two , and as many others , so that
they ...
Side 124
IF the first magnitude be the same multiple of the second that the third is of the
fourth , and the fifth the same multiple of the second that the sixth is of the fourth ;
then shall the first together with the fifth be the same multiple of the second , that ...
IF the first magnitude be the same multiple of the second that the third is of the
fourth , and the fifth the same multiple of the second that the sixth is of the fourth ;
then shall the first together with the fifth be the same multiple of the second , that ...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1892 |
Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess 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 Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Johnson and Warner, 1811 |
| Original fra | University of Chicago |
| Digitalisert | 17. jun 2013 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |