The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 253
And we do not require the compasses for any other process than describing a circle from a given point with a given ... notions to include only such notions as are applicable to all kinds of magnitude as well as to space magnitudes .
And we do not require the compasses for any other process than describing a circle from a given point with a given ... notions to include only such notions as are applicable to all kinds of magnitude as well as to space magnitudes .
Página 279
It follows from what is given in the fourth Book of the Elements that the circunference of a circle can be divided into 3 ... in the English Cyclopædia , and the tract on the Connexion of Number and Magnitude by Professor De Morgan .
It follows from what is given in the fourth Book of the Elements that the circunference of a circle can be divided into 3 ... in the English Cyclopædia , and the tract on the Connexion of Number and Magnitude by Professor De Morgan .
Página 282
The following demonstration is given by Austin in his Examination of the first six books of Euclid's Elements . ... should not be given ; it must however be assumed that we can perform on the magnitudes considered , an operation similar ...
The following demonstration is given by Austin in his Examination of the first six books of Euclid's Elements . ... should not be given ; it must however be assumed that we can perform on the magnitudes considered , an operation similar ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole