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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RYAN'S ALGEBRA , Theoretical and Practical : adapted to the instruction of youth in Schools and Acadamies ; to which is added an Appendix , containing an Algebraic method of demonstrating the propositions in the fifth book of Euclid's ...
RYAN'S ALGEBRA , Theoretical and Practical : adapted to the instruction of youth in Schools and Acadamies ; to which is added an Appendix , containing an Algebraic method of demonstrating the propositions in the fifth book of Euclid's ...
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As the properties of the sections of straight lines are easily derived from Algebra , the demonstrations of the principal propositions in the Second Book are expressed Algebraically , by way of Scholium , to each proposition .
As the properties of the sections of straight lines are easily derived from Algebra , the demonstrations of the principal propositions in the Second Book are expressed Algebraically , by way of Scholium , to each proposition .
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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 ...
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In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems ... An Axiom , or Maxim , is a self - evident proposition , requiring no formal demonstration to prove the truth of it ...
In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems ... An Axiom , or Maxim , is a self - evident proposition , requiring no formal demonstration to prove the truth of it ...
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An Indirect or Negative Demonstration is that which shows a proposition to be true , by proving that some absurdity would necessarily follow if the proposition advanced were false . This is sometimes called Reductio ad Absurdum ...
An Indirect or Negative Demonstration is that which shows a proposition to be true , by proving that some absurdity would necessarily follow if the proposition advanced were false . This is sometimes called Reductio ad Absurdum ...
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |