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 Corr |
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Resultat 1-5 av 52
Side 5
... by adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse than is commonly supposed , and those not of small moment , especially in the Fifth and Eleventh ...
... by adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse than is commonly supposed , and those not of small moment , especially in the Fifth and Eleventh ...
Side 7
In this Ninth Edition , Ptolemy's Propofition concerning a Property of quadrilateral Figures in a Circle is added at the End of the fixth Book . Alfo the Note on the 29th Prop .
In this Ninth Edition , Ptolemy's Propofition concerning a Property of quadrilateral Figures in a Circle is added at the End of the fixth Book . Alfo the Note on the 29th Prop .
Side 13
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . If equals be taken from unequals , the remainders ...
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . If equals be taken from unequals , the remainders ...
Side 58
... AOH and XH make up the figure AEFD which is the fquare of AD : Therefore four times the rectangle AB , BC , together with the fquare of AC , is equal to the fquare of AD , that is , of AB and BC added together in one straight line .
... AOH and XH make up the figure AEFD which is the fquare of AD : Therefore four times the rectangle AB , BC , together with the fquare of AC , is equal to the fquare of AD , that is , of AB and BC added together in one straight line .
Side 112
It is alfo equiangular ; because the cir cumference AB is equal to the circumference DE : If to each be added BCD , the whole ABCD is equal to the whole EDCB : And the angle AED ftands on the circumference ABCD , and the angle BAE on ...
It is alfo equiangular ; because the cir cumference AB is equal to the circumference DE : If to each be added BCD , the whole ABCD is equal to the whole EDCB : And the angle AED ftands on the circumference ABCD , and the angle BAE on ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole