The Elements of Euclid, Libros 1-6;Libro 11 |
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Página xii
He says of Props . 28 and 29 : “ These two problems , to the first of which the 27th proposition is necessary , are the most general and useful of all in the Elements , and are most frequently made use of ...
He says of Props . 28 and 29 : “ These two problems , to the first of which the 27th proposition is necessary , are the most general and useful of all in the Elements , and are most frequently made use of ...
Página xiii
Now Euclid was not in the habit of giving any proposition except for use ; and this one is , in fact , required and used by Euclid himself in Prop . 17 of Book XIII , containing the construction and " comprehension in a sphere ” of a ...
Now Euclid was not in the habit of giving any proposition except for use ; and this one is , in fact , required and used by Euclid himself in Prop . 17 of Book XIII , containing the construction and " comprehension in a sphere ” of a ...
Página 259
“ Proclus , in his commentary , relates , that the Epicureans derided Prop . 20 , as being manifest even to asses , and needing no demonstration ; and his answer is , that though the truth of it be manifest to our senses , yet it is ...
“ Proclus , in his commentary , relates , that the Epicureans derided Prop . 20 , as being manifest even to asses , and needing no demonstration ; and his answer is , that though the truth of it be manifest to our senses , yet it is ...
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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