The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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Seite 9
... meet together , but are not in the same " direction . IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . B Book I. A D B C E N. B. When ...
... meet together , but are not in the same " direction . IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . B Book I. A D B C E N. B. When ...
Seite 10
... meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the other upon the other line : thus the angle which is contained by the straight lines AB , CB , is ...
... meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the other upon the other line : thus the angle which is contained by the straight lines AB , CB , is ...
Seite 13
... meet . Book I. POSTULATES . I : Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle ...
... meet . Book I. POSTULATES . I : Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle ...
Seite 14
... meet two straight lines , so as to make the " two interior angles on the same side of it taken together less " than two right angles , these straight lines being continually 66 produced , shall at length meet upon that side on which are ...
... meet two straight lines , so as to make the " two interior angles on the same side of it taken together less " than two right angles , these straight lines being continually 66 produced , shall at length meet upon that side on which are ...
Seite 34
... meet towards B , D. In like man- ner it may be demonstrat- ed that they do not meet towards A , C ; but those F D. straight lines which meet neither way , though produced ever so far , are parallel to one another . AB therefore is ...
... meet towards B , D. In like man- ner it may be demonstrat- ed that they do not meet towards A , C ; but those F D. straight lines which meet neither way , though produced ever so far , are parallel to one another . AB therefore is ...
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Häufige Begriffe und Wortgruppen
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore