A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página vi
... 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 of a line , we can fix our ...
... 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 of a line , we can fix our ...
Página viii
... length . 2. A pair of compasses which open to any extent but close immediately they are taken from the paper . It will be seen that neither of these instruments can be used to transfer distances , and also that all constructions must ...
... length . 2. A pair of compasses which open to any extent but close immediately they are taken from the paper . It will be seen that neither of these instruments can be used to transfer distances , and also that all constructions must ...
Página x
... length , and in such a form as to show the truth of the reasoning in the most convincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All ...
... length , and in such a form as to show the truth of the reasoning in the most convincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All ...
Página 13
... length without breadth . 3. The extremities of a line are points . 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which has only length and breadth . 6. The extremities of a ...
... length without breadth . 3. The extremities of a line are points . 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which has only length and breadth . 6. The extremities of a ...
Página 17
... That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
... That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
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