The Elements of Euclid |
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Side 12
A rhombus , is that which has all its sides equal , but its angles are not right
angles . JO XXXIII . A rhomboid , is that which has its opposite sides equal to one
another , but all its sides are not equal , nor its angles right apgles . Book I. XXXIV
.
A rhombus , is that which has all its sides equal , but its angles are not right
angles . JO XXXIII . A rhomboid , is that which has its opposite sides equal to one
another , but all its sides are not equal , nor its angles right apgles . Book I. XXXIV
.
Side 16
... by those sides equal to one another ; they shall likewise bave their bases , or
third sides , equal ; and the two triangles shall be equal ; and their other angles
shall be equal , each to each , viz . those to which the equal sides are opposite .
... by those sides equal to one another ; they shall likewise bave their bases , or
third sides , equal ; and the two triangles shall be equal ; and their other angles
shall be equal , each to each , viz . those to which the equal sides are opposite .
Side 17
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Side 18
Q. E. D. COROLLARY . Hence every equilateral triangle is also equi . angular . یه
روز PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the
sides also which subtend , or are opposite to , the equal angles , shall be equal ...
Q. E. D. COROLLARY . Hence every equilateral triangle is also equi . angular . یه
روز PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the
sides also which subtend , or are opposite to , the equal angles , shall be equal ...
Side 24
IF , at a point in a straight line viher straight lines , upon the opposite sides of it ,
inake the adjacent angles together equal to two right angles , these two . straight
lines shall be in one and the same straight line . А. At the point B in the straight ...
IF , at a point in a straight line viher straight lines , upon the opposite sides of it ,
inake the adjacent angles together equal to two right angles , these two . straight
lines shall be in one and the same straight line . А. At the point B in the straight ...
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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 |