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 56
Side 39
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw ( 11.1 . ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw ( 11.1 . ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
Side 40
... square described upon the side BC is equal to the squares described upon BA , AČ . G K On BC describe ( 46. 1. ) the square BDEC , and on BA , AC ... AC , AG upon the opposite sides of AB , make with it at the point A the adjacent angles ...
... square described upon the side BC is equal to the squares described upon BA , AČ . G K On BC describe ( 46. 1. ) the square BDEC , and on BA , AC ... AC , AG upon the opposite sides of AB , make with it at the point A the adjacent angles ...
Side 41
... AC , and make AD equal to BA , and join DC : then because DA is equal to AB , the square of DA is equal to the square of AB : to each of these add the square of AC : therefore the squares of DA , AC are equal to the squares of BA , AC : but ...
... AC , and make AD equal to BA , and join DC : then because DA is equal to AB , the square of DA is equal to the square of AB : to each of these add the square of AC : therefore the squares of DA , AC are equal to the squares of BA , AC : but ...
Side 43
... AC , shall be equal to the square of AB . Upon AB describe ( 46. 1. ) the square ADEB , and through C draw ( 31. 1. ) CF , pa- rallel to AD or BE ; then AE is equal to the rectangles AF , CE : and AE is the square of AB : and AF is the ...
... AC , shall be equal to the square of AB . Upon AB describe ( 46. 1. ) the square ADEB , and through C draw ( 31. 1. ) CF , pa- rallel to AD or BE ; then AE is equal to the rectangles AF , CE : and AE is the square of AB : and AF is the ...
Side 44
... C ; the square of AB is equal to the squares of AC , CB , and to twice the rectangle contained by AC , CB . A D C B G K F E Upon AB describe ( 46. 1. ) the square ADEB , and join BD , and through C draw ( 31. 1. ) CGF parallel to AD or ...
... C ; the square of AB is equal to the squares of AC , CB , and to twice the rectangle contained by AC , CB . A D C B G K F E Upon AB describe ( 46. 1. ) the square ADEB , and join BD , and through C draw ( 31. 1. ) CGF parallel to AD or ...
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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