The Elements of Euclid: Viz the First Six Books, Together with the Eleventh and Twelfth, the Errors by which Theon Or Others Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored : Also the Book of Euclid's Data, in Like Manner CorrectedP. Wogan, 1803 - 520 sider |
Inni boken
Resultat 1-5 av 51
Side 51
... contained E by any two of the traight lines which contain on ta the right angles . · II . A E D In every ... rectangle contained by the two ftraight lines , is equal to the rectangles con- tained by the undivided line , and , the feveral ...
... contained E by any two of the traight lines which contain on ta the right angles . · II . A E D In every ... rectangle contained by the two ftraight lines , is equal to the rectangles con- tained by the undivided line , and , the feveral ...
Side 52
... rectangle contained by the ftraight lines A , BC is equal to the rectangle contained by B A , BD , together with that con- tained by A , DE , and that con- tained by A , EC . From the point B draw a BF at right angles to BC , and makeG ...
... rectangle contained by the ftraight lines A , BC is equal to the rectangle contained by B A , BD , together with that con- tained by A , DE , and that con- tained by A , EC . From the point B draw a BF at right angles to BC , and makeG ...
Side 53
... contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the square of AB . If there- fore a ftraight line , & c . Q. E. D. PROP . III . THEOR . a ...
... contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the square of AB . If there- fore a ftraight line , & c . Q. E. D. PROP . III . THEOR . a ...
Side 54
... rectangle contain- ed by AC , CB , for GC is equal to CB ; therefore GE is alfo equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the fquares of AC , CB ; wherefore the four ...
... rectangle contain- ed by AC , CB , for GC is equal to CB ; therefore GE is alfo equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the fquares of AC , CB ; wherefore the four ...
Side 55
... rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half the line . Let the ftraight line AB be divided into two equal parts in the point C , and into ...
... rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half the line . Let the ftraight line AB be divided into two equal parts in the point C , and into ...
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Vanlige uttrykk og setninger
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