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
... true of all other surfaces . But although we cannot find a surface perfectly level in every direction and perfectly smooth in every part , we can easily imagine a " Plane superficies in which any two points being taken , the straight ...
... true of all other surfaces . But although we cannot find a surface perfectly level in every direction and perfectly smooth in every part , we can easily imagine a " Plane superficies in which any two points being taken , the straight ...
Página vi
... true of all the objects mentioned in the definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which ...
... true of all the objects mentioned in the definitions . They are purely mental conceptions . Thus our representations of lines , angles , triangles , circles , & c . , are all imperfect , as are also the concrete examples of these which ...
Página ix
... true of all magnitudes whatever . The twelfth axiom may be more simply expressed thus , " Two straight lines which cut one another cannot be both parallel to a third straight line . " The definitions and axioms together include all the ...
... true of all magnitudes whatever . The twelfth axiom may be more simply expressed thus , " Two straight lines which cut one another cannot be both parallel to a third straight line . " The definitions and axioms together include all the ...
Página x
... true , or that the problem proposed has been solved . The following , therefore , exhibits the parts of a proposition , and the way in which they will hereafter be distinguished . First . The general enunciation stands at the head of ...
... true , or that the problem proposed has been solved . The following , therefore , exhibits the parts of a proposition , and the way in which they will hereafter be distinguished . First . The general enunciation stands at the head of ...
Página xi
... true of an entire class must be true of every member of that class . The first premiss makes an assertion which is true of all right angles ; the second asserts that particular angles ABC , DEF belong to the class of right angles ; and ...
... true of an entire class must be true of every member of that class . The first premiss makes an assertion which is true of all right angles ; the second asserts that particular angles ABC , DEF belong to the class of right angles ; and ...
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