A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página vii
... constructions , and before using them he generally shows how they are to be effected . There are three constructions however which he does not attempt to effect , but simply assumes that they can be done , and demands that he may use ...
... constructions , and before using them he generally shows how they are to be effected . There are three constructions however which he does not attempt to effect , but simply assumes that they can be done , and demands that he may use ...
Página viii
... constructions are very complicated even where the object to be attained is very simple ; as for example in prop . 3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of ...
... constructions are very complicated even where the object to be attained is very simple ; as for example in prop . 3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of ...
Página ix
... constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the ... construction , directing what lines and INTRODUCTION . ix.
... constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the ... construction , directing what lines and INTRODUCTION . ix.
Página x
... construction . 3. The demonstration . The demonstration is effected by combining the elementary truths contained in the definitions and axioms so as to obtain new truths . These results are then used to establish further and more ...
... construction . 3. The demonstration . The demonstration is effected by combining the elementary truths contained in the definitions and axioms so as to obtain new truths . These results are then used to establish further and more ...
Página xi
... construction , or 4 : truths which have been previously proved . And at each step the references to the definitions ( ' Def : ' ) , axioms ( ' Ax : ' ) , constructions ( ' Const : ' ) , & c . , show whence the statements to which they ...
... construction , or 4 : truths which have been previously proved . And at each step the references to the definitions ( ' Def : ' ) , axioms ( ' Ax : ' ) , constructions ( ' Const : ' ) , & c . , show whence the statements to which they ...
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