A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página vi
Thus our representations of lines , angles , triangles , 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 ...
Thus our representations of lines , angles , triangles , 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 ...
Página viii
3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . ... difficulties and bringing the greatest possible number of truths in his subject within the circle of strict demonstration .
3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . ... difficulties and bringing the greatest possible number of truths in his subject within the circle of strict demonstration .
Página ix
... 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 is.
... 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 is.
Página x
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 course of reasoning that ...
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 course of reasoning that ...
Página 14
A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . D 16.
A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . D 16.
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole