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 CorrectedDesilver & Thomas, 1834 - 419 sider |
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Resultat 1-5 av 9
Side 42
... gnomon . Thus A ' the parallelogram HG , together ' with the complements AF , FC , is ' the gnomon , which is more briefly ' expressed by the letters AGK , or ' EHC , which are at the opposite ' angles of the parallelograms which ' make ...
... gnomon . Thus A ' the parallelogram HG , together ' with the complements AF , FC , is ' the gnomon , which is more briefly ' expressed by the letters AGK , or ' EHC , which are at the opposite ' angles of the parallelograms which ' make ...
Side 45
... gnomon CMG , together with LG , is equal to the rectangle AD , DB , together with the square of CD : but the gnomon CMG and LG makes up the whole figure CEFB , which is the square of CB : therefore the rectangle AD , DB , together with ...
... gnomon CMG , together with LG , is equal to the rectangle AD , DB , together with the square of CD : but the gnomon CMG and LG makes up the whole figure CEFB , which is the square of CB : therefore the rectangle AD , DB , together with ...
Side 46
... gnomon CMG : and DM is the rectangle contained by AD , DB , for DM is equal ( Cor . 4 . 2. ) to DB : therefore the gnomon CMG is equal to the rectangle AD , DB , add to each of these LG , which is equal to the square of CB , therefore ...
... gnomon CMG : and DM is the rectangle contained by AD , DB , for DM is equal ( Cor . 4 . 2. ) to DB : therefore the gnomon CMG is equal to the rectangle AD , DB , add to each of these LG , which is equal to the square of CB , therefore ...
Side 47
... gnomon AOH was demonstrated to be quadruple of AK : therefore four times the rectangle AB , BC is equal to the gnomon AOH . To each of these add XH , which is equal ( Cor . 4. 2. ) to the square of AC : therefore four times the ...
... gnomon AOH was demonstrated to be quadruple of AK : therefore four times the rectangle AB , BC is equal to the gnomon AOH . To each of these add XH , which is equal ( Cor . 4. 2. ) to the square of AC : therefore four times the ...
Side 150
... gnomon ERO : but it has been proved that the gnomon ERO is equal to C , and therefore also TS is equal to C. Wherefore the parallelogram TS , equal to the given rectilineal figure C , is ap- plied to the given straight line AB deficient ...
... gnomon ERO : but it has been proved that the gnomon ERO is equal to C , and therefore also TS is equal to C. Wherefore the parallelogram TS , equal to the given rectilineal figure C , is ap- plied to the given straight line AB deficient ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore