The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books |
Im Buch
Ergebnisse 1-5 von 69
Seite 5
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . [ Note . The terms oblong and rhomboid are not often used . Practically the following definitions are used .
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . [ Note . The terms oblong and rhomboid are not often used . Practically the following definitions are used .
Seite 10
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the side AB ...
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the side AB ...
Seite 20
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . ... Bisect AC at E , [ I. 10 . join BE and produce it to F , making EF equal to EB , [ I. 3 . and join FC .
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . ... Bisect AC at E , [ I. 10 . join BE and produce it to F , making EF equal to EB , [ I. 3 . and join FC .
Seite 21
In the same manner if BC be bisected , and the side AC be produced to G , it may be shewn that the angle BCG , that is the angle ACD , is greater than the angle ABC . [ I. 15 . Wherefore , if one side & c . Q.E.D. PROPOSITION 17.
In the same manner if BC be bisected , and the side AC be produced to G , it may be shewn that the angle BCG , that is the angle ACD , is greater than the angle ABC . [ I. 15 . Wherefore , if one side & c . Q.E.D. PROPOSITION 17.
Seite 31
For if not , AB and CD , being produced , will meet either towards B , D or towards A , C. Let them be pro- duced and meet towards B , D at the point G. A E G Therefore GEF is a triangle , and its exterior angle AEF is greater than the ...
For if not , AB and CD , being produced , will meet either towards B , D or towards A , C. Let them be pro- duced and meet towards B , D at the point G. A E G Therefore GEF is a triangle , and its exterior angle AEF is greater than the ...
Was andere dazu sagen - Rezension schreiben
Es wurden keine Rezensionen gefunden.
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD AC is equal angle ABC angle BAC Axiom base bisected Book centre chord circle ABC circumference common Construction Corollary Definition demonstration describe a circle described diameter difference divided double draw drawn equal equal angles equiangular equilateral equimultiples Euclid extremities fall figure fixed formed four fourth given circle given point given straight line greater half Hypothesis inscribed intersect join less Let ABC magnitudes manner meet multiple namely opposite sides parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals PROPOSITION Q.E.D. PROPOSITION quadrilateral radius ratio reason rectangle contained rectilineal figure remaining respectively right angles segment shew shewn sides similar square square on AC straight line drawn suppose Take taken tangent THEOREM third triangle ABC twice Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books Cambridge school class books Macmillan's school class books |
| Autoren | Euclid, Isaac Todhunter |
| Herausgeber | Isaac Todhunter, Robert Simson |
| Ausgabe | Neuauflage |
| Verlag | Macmillan, 1886 |
| Original von | Princeton University |
| Digitalisiert | 26. Jan. 2009 |
| Länge | 400 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |