A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Side vi
... circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said of them in the definitions , or afterwards proved concerning them in the propositions , is true of these ...
... circles , & c . , are all imperfect , as are also the concrete examples of these which we see around us , and all that is said of them in the definitions , or afterwards proved concerning them in the propositions , is true of these ...
Side viii
... circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system ... circle of strict demonstration . These postulates may be regarded as fixing the instruments which Euclid allows ...
... circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system ... circle of strict demonstration . These postulates may be regarded as fixing the instruments which Euclid allows ...
Side ix
... a special instance selected for consideration , and the discussion is then conducted with reference to this figure . This forms the particular enunciation . Next follows the construction , directing what lines and circles INTRODUCTION . ix.
... a special instance selected for consideration , and the discussion is then conducted with reference to this figure . This forms the particular enunciation . Next follows the construction , directing what lines and circles INTRODUCTION . ix.
Side x
Euclides Charles Mansford. Next follows the construction , directing what lines and circles are to be drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected ...
Euclides Charles Mansford. Next follows the construction , directing what lines and circles are to be drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected ...
Side 14
... circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diam- eter and the part of the circumference cut off by the ...
... circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diam- eter and the part of the circumference cut off by the ...
Andre utgaver - Vis alle
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