A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página v
... Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to the propositions which follow should be clearly understood . DEFINITIONS . Let it be observed ...
... Hence it is that the definitions are placed at the very commencement , and it is important that their meaning and their proper relation to the propositions which follow should be clearly understood . DEFINITIONS . Let it be observed ...
Página ix
... 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 , " Two straight lines which cut one ...
... 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 , " Two straight lines which cut one ...
Página xi
... hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another . Now as all geometrical proofs may be reduced to a series of processes similar to the above in which the truth of the ...
... hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another . Now as all geometrical proofs may be reduced to a series of processes similar to the above in which the truth of the ...
Página 23
... Hence the triangle ABC coincides with DEF . This is one of the most important results in Book I. Ex . 1. Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one ...
... Hence the triangle ABC coincides with DEF . This is one of the most important results in Book I. Ex . 1. Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one ...
Página 25
... Hence every equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposition , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be drawn ...
... Hence every equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposition , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be drawn ...
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