A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
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Página vi
... 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 * the entire ...
... 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 * the entire ...
Página ix
... called the general enunciation of the proposition , after which comes the discussion . First , the general enunciation is repeated and applied to a particular figure . By this means the attention is limited to a special instance ...
... called the general enunciation of the proposition , after which comes the discussion . First , the general enunciation is repeated and applied to a particular figure . By this means the attention is limited to a special instance ...
Página x
... called a syllogism , i.e. , an argument stated at 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 ...
... called a syllogism , i.e. , an argument stated at 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 ...
Página xi
... called the premisses , and the last the conclusion ; and it will be noticed that the principle which underlies and justifies the reasoning is this , that whatever is true of an entire class must be true of every member of that class ...
... called the premisses , and the last the conclusion ; and it will be noticed that the principle which underlies and justifies the reasoning is this , that whatever is true of an entire class must be true of every member of that class ...
Página 14
... called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13 ...
... called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13 ...
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