A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página vii
This order should be carefully drawn out before reading further . Moreover the definitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and confusion . In other words they mark out — define ...
This order should be carefully drawn out before reading further . Moreover the definitions give complete and distinct knowledge of the things defined , and thus prevent ambiguity and confusion . In other words they mark out — define ...
Página x
Next follows the construction , directing what lines and circles are to be 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 ...
Next follows the construction , directing what lines and circles are to be 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 ...
Página xi
Now as all geometrical proofs may be reduced to a series of processes similar to the above in which the truth of the conclusion drawn is evident from the very form in which the argument is stated , we may always be certain that the ...
Now as all geometrical proofs may be reduced to a series of processes similar to the above in which the truth of the conclusion drawn is evident from the very form in which the argument is stated , we may always be certain that the ...
Página xii
The statements advanced in the course of the demonstration are 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 .
The statements advanced in the course of the demonstration are 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 .
Página 14
A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . D 16.
A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . D 16.
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole