The Elements of Euclid |
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Side vi
Equal and similar solid figures are those which are contained by similar planes of
- the saine number and magnitude . " Now this proposition is a theorem , not a
definition ; because the equality of figures of any kind must be demonstrated ,
and ...
Equal and similar solid figures are those which are contained by similar planes of
- the saine number and magnitude . " Now this proposition is a theorem , not a
definition ; because the equality of figures of any kind must be demonstrated ,
and ...
Side 119
THE ELEMENTS OF EUCLID . BOOK V. DEFINITIONS . I. A LESS magnitude is
said to be a part of a greater magnitude , when the less measures the greater ,
that is , when the less is contained a certăin number of times exactly in the
greater .
THE ELEMENTS OF EUCLID . BOOK V. DEFINITIONS . I. A LESS magnitude is
said to be a part of a greater magnitude , when the less measures the greater ,
that is , when the less is contained a certăin number of times exactly in the
greater .
Side 120
N. B. " When four magnitudes are proportionals , it is usually expressed by saying
, the first is to the se• cond , as the third ... the multiple of the fourth ; then the first
is said to.have to the second a greàter ratio than the third . magnitude has to the ...
N. B. " When four magnitudes are proportionals , it is usually expressed by saying
, the first is to the se• cond , as the third ... the multiple of the fourth ; then the first
is said to.have to the second a greàter ratio than the third . magnitude has to the ...
Side 121
In proportionals , the antecedent terms are called homologous to one another , as
also the consequents to one anothier . Geometers make use of the following
technical words to sig . nify certain ways of changing either the order or
magnitude ...
In proportionals , the antecedent terms are called homologous to one another , as
also the consequents to one anothier . Geometers make use of the following
technical words to sig . nify certain ways of changing either the order or
magnitude ...
Side 122
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is
any number of magnitudes more than two ... Ex æquali , from equality ; this term
is used simply by itself , when the first magnitude is to the second of the first rank
...
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is
any number of magnitudes more than two ... Ex æquali , from equality ; this term
is used simply by itself , when the first magnitude is to the second of the first rank
...
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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 |