A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página iii
... whole body of new truths in their proper connections while no attempt is made to exhibit the relations of its several parts , or to supply applications and illustrations as the learner proceeds ; no wonder that the subject should prove ...
... whole body of new truths in their proper connections while no attempt is made to exhibit the relations of its several parts , or to supply applications and illustrations as the learner proceeds ; no wonder that the subject should prove ...
Página v
... whole subject , and form the groundwork of all the truths established in the following books . Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to ...
... whole subject , and form the groundwork of all the truths established in the following books . Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to ...
Página vi
... definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the groundwork of * the entire subject . They supply the first principles vi INTRODUCTION .
... definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the groundwork of * the entire subject . They supply the first principles vi INTRODUCTION .
Página ix
... whole of Euclid's geometrical demands , and hence are sometimes classed with the postulates ; while the first nine axioms are ، common notions ' which are true of all magnitudes whatever . The twelfth axiom may be more simply expressed ...
... whole of Euclid's geometrical demands , and hence are sometimes classed with the postulates ; while the first nine axioms are ، common notions ' which are true of all magnitudes whatever . The twelfth axiom may be more simply expressed ...
Página 18
... whole is greater than its part . 10. Two straight lines cannot enclose a space . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line ...
... whole is greater than its part . 10. Two straight lines cannot enclose a space . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line ...
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