A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página v
... definitions . The first book contains also postulates and axioms , which , with the accompanying definitions , underlie the whole subject , and form the groundwork of all the truths established in the following books . Hence it is that ...
... definitions . The first book contains also postulates and axioms , which , with the accompanying definitions , underlie the whole subject , and form the groundwork of all the truths established in the following books . Hence it is that ...
Página vi
... definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said ...
... definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said ...
Página vii
... definitions . They state the elementary properties of space which are the basis of geometry , and they give clear and complete knowledge of the things defined . POSTULATES . In order to assist in deducing new truths from the definitions ...
... definitions . They state the elementary properties of space which are the basis of geometry , and they give clear and complete knowledge of the things defined . POSTULATES . In order to assist in deducing new truths from the definitions ...
Página viii
... definitions we may at once proceed to reason about them and deduce general truths . But this is not the case in regard to straight lines , ' right angles ' and parallel lines . ' Concerning these Euclid enunciates other properties in ...
... definitions we may at once proceed to reason about them and deduce general truths . But this is not the case in regard to straight lines , ' right angles ' and parallel lines . ' Concerning these Euclid enunciates other properties in ...
Página ix
... definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be explained . PROPOSITIONS . The truths to be ...
... definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be explained . PROPOSITIONS . The truths to be ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CBA axioms base BC BC is equal bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal