On the Principles of English University EducationJohn W. Parker, 1837 - 186 ページ |
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... properties of space and number ; —the laws of motion and force . Of course , I mean only , that so far as we teach practically , we must select such subjects . Nothing prevents us , and as I have said , we have not been prevented , from ...
... properties of space and number ; —the laws of motion and force . Of course , I mean only , that so far as we teach practically , we must select such subjects . Nothing prevents us , and as I have said , we have not been prevented , from ...
151 ページ
... properties of space , and of conceiving a straight line . We cannot find a form of words which will express at the same time the nature of the line and the resulting truth . We have , conse- quently , in our books of geometry , a ...
... properties of space , and of conceiving a straight line . We cannot find a form of words which will express at the same time the nature of the line and the resulting truth . We have , conse- quently , in our books of geometry , a ...
152 ページ
... properties of straight lines is certainly not the definition , but the conception of a straight line ; and in the same manner the foundation of all geometrical truth resides in our general conception of space . This doctrine may appear ...
... properties of straight lines is certainly not the definition , but the conception of a straight line ; and in the same manner the foundation of all geometrical truth resides in our general conception of space . This doctrine may appear ...
153 ページ
... properties are seen to belong to it . The simplest of these properties appear to be such as those which have recently been noticed as the fundamental principles of the subject * ; - " That when mag- nitudes are expressed by the number ...
... properties are seen to belong to it . The simplest of these properties appear to be such as those which have recently been noticed as the fundamental principles of the subject * ; - " That when mag- nitudes are expressed by the number ...
155 ページ
... properties of this idea , although we can trace its in- fluence npon the reasonings of geometers at an earlier period , and even among the ancients . The first section of the Principia contains the results of the conception of a limit ...
... properties of this idea , although we can trace its in- fluence npon the reasonings of geometers at an earlier period , and even among the ancients . The first section of the Principia contains the results of the conception of a limit ...
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academic degree academic dress acquired ancient appear apply Archimedes asserted attendance authors axioms beneficial body character civilisation classical College lectures College punishments College system conceive conception connexion consider course cultivation culture curve declension definitions demonstration depends Differential Calculus direct instruction direct teaching discipline distinct doctrines effect English Colleges English Universities Euclid examinations example faculty feel force forms fundamental ideas geometry give Greek habits Hydrostatics Inductive Reason institutions instruction intel intellectual kind knowledge language lative liberal education limit manner mathe mathematical studies mathematicians matics matter means mechanical mental mind mode nations necessary truth object occasion opinion peculiar persons philosophy Plato practical teaching present principles private tutors professorial lectures professors progress properties pupils pure mathematics purpose question racter reasoning reference require requisite respect rules SECT speculative teaching spirit student study of mathematics supposed taught teachers thought tical tion truth University of Cambridge