Rules for the Direction of the Mind: Discourse on the Method : Meditations on First Philosophy : Objections Against the Meditations and Replies : The GeometryIs it possible to be certain of anything? If so, how? The father of modern philosophy and the founder of rational method in philosophical thought, René Descartes (1596–1650) sought the answers to these questions and in doing so, addressed the most important of methods of thinking and understanding truth. In Discourse on Method, he applies a scientific approach to philosophy that comprises four principles: to accept only what reason recognizes as "clear and distinct"; to analyze complex ideas by dividing them into smaller elements; to reconstruct the ideas; and to make accurate and complete enumerations of the data. His Meditations proceed according to this method, exploring the mind/body distinction, the nature of truth and error, the existence of God, and the essence of material things. 
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Page 320
We may then compare the two expressions term by term , thus : Since the first term , y ?, is the same in each , the second term , gry  2quy  , of the first is equal to  Zey , the second 91 term of the second ; whence , solving for v ...
We may then compare the two expressions term by term , thus : Since the first term , y ?, is the same in each , the second term , gry  2quy  , of the first is equal to  Zey , the second 91 term of the second ; whence , solving for v ...
Page 335
Similarly , to remove the second terms of 24 – 2ax : + ( 2a2  co ) x2 – 2a8x + a + = 0 ; since 2a + 4 = ļa we must ... or terms ; and further , the known quantity of the third term will be greater than the square of half that of the ...
Similarly , to remove the second terms of 24 – 2ax : + ( 2a2  co ) x2 – 2a8x + a + = 0 ; since 2a + 4 = ļa we must ... or terms ; and further , the known quantity of the third term will be greater than the square of half that of the ...
Page 336
Then multiply or divide the known quantity of the second term by the given quantity , that in the third term by the ... This device is useful in changing fractional terms of an equation to whole numbers , and often in rationalizing the ...
Then multiply or divide the known quantity of the second term by the given quantity , that in the third term by the ... This device is useful in changing fractional terms of an equation to whole numbers , and often in rationalizing the ...
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