A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página iii
... Geometry , the Elements ' still maintain their position in Schools and Universities as the standard text - book both for teaching and refer- ence . Undoubtedly there are great advantages in thus retaining Euclid's book , and many of the ...
... Geometry , the Elements ' still maintain their position in Schools and Universities as the standard text - book both for teaching and refer- ence . Undoubtedly there are great advantages in thus retaining Euclid's book , and many of the ...
Página v
... Geometry , known as ' Euclid's Elements , ' is arranged in six books , each of which commences with certain definitions . The first book contains also postu- lates and axioms , which , with the accompanying defi- nitions , underlie the ...
... Geometry , known as ' Euclid's Elements , ' is arranged in six books , each of which commences with certain definitions . The first book contains also postu- lates and axioms , which , with the accompanying defi- nitions , underlie the ...
Página vi
... geometry is called an abstract science . ' A further point to be noticed in regard to the 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 ...
... geometry is called an abstract science . ' A further point to be noticed in regard to the 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 ...
Página vii
... geometry , and they give clear and complete knowledge of the things defined . POSTULATES . In order to assist in deducing new truths from the definitions , Euclid frequently employs certain constructions , and before using them he ...
... geometry , and they give clear and complete knowledge of the things defined . POSTULATES . In order to assist in deducing new truths from the definitions , Euclid frequently employs certain constructions , and before using them he ...
Página x
... geometry are demonstrated , and their relation to each other exhibited . In order to this the first principles are combined in a particular way so as to form what is called a syllogism , i.e. , an argument stated at length , and in such ...
... geometry are demonstrated , and their relation to each other exhibited . In order to this the first principles are combined in a particular way so as to form what is called a syllogism , i.e. , an argument stated at length , and in such ...
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 CEA axioms base BC 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 less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop 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