A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
Resultados 6-10 de 88
Página v
... 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 whole subject , and ...
... 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 whole subject , and ...
Página vi
... Euclid's line , which is " length without breadth , " and it is this mental conception , and not our imperfect representations of it on paper , which Euclid invariably has in view when he uses the word ' line . ' Having thus conceived ...
... Euclid's line , which is " length without breadth , " and it is this mental conception , and not our imperfect representations of it on paper , which Euclid invariably has in view when he uses the word ' line . ' Having thus conceived ...
Página vii
... Euclid frequently employs certain constructions , and before using them he generally shows how they are to be effected . There are three construc- tions however which he does not attempt to effect , but simply assumes that they can be ...
... Euclid frequently employs certain constructions , and before using them he generally shows how they are to be effected . There are three construc- tions however which he does not attempt to effect , but simply assumes that they can be ...
Página viii
... Euclid allows , and in this view they amount to the following : 1. An ungraduated straight edge of unlimited length . 2. A pair of compasses which open to any extent but close immediately they are taken from the paper . It will be seen ...
... Euclid allows , and in this view they amount to the following : 1. An ungraduated straight edge of unlimited length . 2. A pair of compasses which open to any extent but close immediately they are taken from the paper . It will be seen ...
Página ix
... 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 thus ...
... 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 thus ...
Otras ediciones - Ver todas
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