A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes, Exercises and Explanations Appended to Each Proposition1875 - 112 páginas |
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... 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 ...
Página 8
... 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 ...
Página 9
... 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.
Página 10
Euclid, 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 ...
Euclid, 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 ...
Página 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 ...
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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 CEA axioms base BC BC is equal bisect centre 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 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