Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página vi
... difficulty will be found in understanding the propositions of the fifth Book , than those of any other of the Elements . C ic In the Second Book , also , some algebraic signs CLID . a have been introduced , for the sake vi PREFACE :
... difficulty will be found in understanding the propositions of the fifth Book , than those of any other of the Elements . C ic In the Second Book , also , some algebraic signs CLID . a have been introduced , for the sake vi PREFACE :
Página vii
The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions , which do not materially differ from them , and a which answer exactly the same purpose . Some propositions PREFACE . vii.
The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions , which do not materially differ from them , and a which answer exactly the same purpose . Some propositions PREFACE . vii.
Página viii
Some propositions also have been added : but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
Some propositions also have been added : but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
Página ix
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
The demonstration of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ...
Página x
... which , though it be not essential to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the ...
... which , though it be not essential to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole