A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Side vii
... constructions , and before using them he generally shows how they are to be effected . There are three construc- tions 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 construc- tions however which he does not attempt to effect , but simply assumes that they can be done , and demands that he may use ...
Side viii
... constructions are very com- plicated 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 com- plicated 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 ...
Side 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 ... construction , directing what lines and circles 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 ... construction , directing what lines and circles INTRODUCTION . ix.
Side x
... construction . 3. The demonstration . The demonstration is effected by combining the ele- mentary 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 ele- mentary truths contained in the definitions and axioms so as to obtain new truths . These results are then used to establish further and more ...
Side xi
... construction , or 4 : truths which have been previously proved . And at each step the references to the defini- tions ( 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 defini- tions ( Def : ' ) , axioms ( ' Ax : ' ) , constructions ( ' Const : ' ) , & c . , show whence the statements to which they ...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... Euclides Uten tilgangsbegrensning - 1874 |
A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes ... Euclid,Charles Mansford Uten tilgangsbegrensning - 1875 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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 CEA axioms base BC 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 less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop 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