The Elements of Euclid |
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Side 13
Things which are double of the same , are equal to one another . VII . Things
which are halves of the same , are equal to one another . VIII . Magnitudes which
coincide with one another , that is , which exactly fill the same space , are equal
to ...
Things which are double of the same , are equal to one another . VII . Things
which are halves of the same , are equal to one another . VIII . Magnitudes which
coincide with one another , that is , which exactly fill the same space , are equal
to ...
Side 43
Q. E. D. PROP . XLI . THEOR . IF a parallelogram and triangle be uport the same
base , and between the same parallels ; the parallel - gram shall be double of the
triangle . Book I. Let the parallelogram ABCD and the triangle EBC OF EUCLID ...
Q. E. D. PROP . XLI . THEOR . IF a parallelogram and triangle be uport the same
base , and between the same parallels ; the parallel - gram shall be double of the
triangle . Book I. Let the parallelogram ABCD and the triangle EBC OF EUCLID ...
Side 44
Book I. Let the parallelogram ABCD and the triangle EBC be upon the same base
BC , and between the same parallels BC , AE , the parallelogram ABCD is double
of the triangle EBC . A D E Join AC ; then the triangle ABC i 37. 1 . is equal a ...
Book I. Let the parallelogram ABCD and the triangle EBC be upon the same base
BC , and between the same parallels BC , AE , the parallelogram ABCD is double
of the triangle EBC . A D E Join AC ; then the triangle ABC i 37. 1 . is equal a ...
Side 49
But the doubles of equals are equal k to one another : h 6. AE . therefore the
parallelogram BL is equal to the square GB : and in the same manner , by joining
AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC ...
But the doubles of equals are equal k to one another : h 6. AE . therefore the
parallelogram BL is equal to the square GB : and in the same manner , by joining
AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC ...
Side 57
1 . therefore equal to the whole CE ; therefore AK , CE are double of A с B AK :
but AK , CE are the gnomon • AKF together with the squale CK ; therefore the
gnomon AKF , togeG ther with the square CK , is double H н K of AK : but twice
the ...
1 . therefore equal to the whole CE ; therefore AK , CE are double of A с B AK :
but AK , CE are the gnomon • AKF together with the squale CK ; therefore the
gnomon AKF , togeG ther with the square CK , is double H н K of AK : but twice
the ...
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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 |