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, Edlemnts 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 add- ed 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 add- ed an Appendix , containing an Algebraic method of demonstrating the propositions in the fifth book of Euclid's ...
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A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
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Method is the art of disposing a train of arguments in a proper order , to investigate the truth or falsity of a proposition , or to demonstrate it to others when it has been found out . This is either Analytical or Syn- thetical . 16.
Method is the art of disposing a train of arguments in a proper order , to investigate the truth or falsity of a proposition , or to demonstrate it to others when it has been found out . This is either Analytical or Syn- thetical . 16.
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And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
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In like man- ner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . B PROP . XI . THEOR . D The greater side of every triangle has the greater angle opposite to it .
In like man- ner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . B PROP . XI . THEOR . D The greater side of every triangle has the greater angle opposite to it .
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
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ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference 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 spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole