A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes, Exercises and Explanations Appended to Each Proposition1875 - 112 páginas |
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Página 7
... drawn out before reading further . Moreover the defi- nitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and con- fusion . In other words they mark out - define - the precise meaning to be ...
... drawn out before reading further . Moreover the defi- nitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and con- fusion . In other words they mark out - define - the precise meaning to be ...
Página 10
... drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the propo- sition is true , or that the problem ...
... drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the propo- sition is true , or that the problem ...
Página 11
... drawn is evident from the very form in which the argument is stated , we may always be cer- tain that the results arrived at by this method are true so long as the premisses are true . But in Euclid the assertions contained in the ...
... drawn is evident from the very form in which the argument is stated , we may always be cer- tain that the results arrived at by this method are true so long as the premisses are true . But in Euclid the assertions contained in the ...
Página 12
... drawn from certain recognised and specified sources ; and the arguments are cast in such a form as to ensure that the conclusion shall be correctly drawn . Every new result thus established is felt to be as true as those from which it ...
... drawn from certain recognised and specified sources ; and the arguments are cast in such a form as to ensure that the conclusion shall be correctly drawn . Every new result thus established is felt to be as true as those from which it ...
Página 14
... drawn from a certain point within the figure to the circumference are equal to one another . 16. And this point is called the centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated ...
... drawn from a certain point within the figure to the circumference are equal to one another . 16. And this point is called the centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated ...
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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 BC is equal bisect centre 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 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