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Euclid's Elements Book I, Proposition 3: Given two unequal straight lines, to cut off from the greater a straight line equal to the less

Let AB and CD be the two given unequal straight lines, and let AB be the greater of them. Thus it is required to cut off from AB a straight line equal to CD.
 

Euclid's Elements Book I, Proposition 3, Statement
 


Construction

Euclid's Elements Book I, Proposition 3, Construction

 


The Elements: Books I-XIII
 

Euclid's Elements is the oldest mathematical and geometric treatise consisting of 13 books written by Euclid in Alexandria c. 300 BC. It is a collection of definitions, postulates, axioms, 467 propositions (theorems and constructions), and mathematical proofs of the propositions.
 

The Thirteen Books of the Elements by Euclid


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In its broad sense, education refers to any act or experience that has a formative effect on the mind, character, or physical ability of an individual...In its technical sense education is the process by which society, through schools, colleges, universities, and other institutions, deliberately transmits its cultural heritage--its accumulated knowledge, values, and skills--from one generation to another. George F. Kneller, Introduction to the Philosophy of Education (New York: John Wiley and Sons, 1971.) 

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