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 CorrectedT. Desilver and R. Desilver, 1825 - 516 σελίδες |
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Σελίδα 46
... right angle BAC ; the square described upon the side BC is equal to the squares described upon BA , AC . On BC describe ( 46. 1. ) the square BDEC , and on BA , AC the F B G 1 D L E H K squares 46 BOOK I. THE ELEMENTS OF EUCLID .
... right angle BAC ; the square described upon the side BC is equal to the squares described upon BA , AC . On BC describe ( 46. 1. ) the square BDEC , and on BA , AC the F B G 1 D L E H K squares 46 BOOK I. THE ELEMENTS OF EUCLID .
Σελίδα 47
... squares GB , HC : and through A draw ( 31. 1. ) AL parallel to BD or CE , and join AD , FC : then , because each of the angles BAC , BAG , is a right angle , ( 30. def . ) the two straight lines AC , AG upon the opposite sides of AB ...
... squares GB , HC : and through A draw ( 31. 1. ) AL parallel to BD or CE , and join AD , FC : then , because each of the angles BAC , BAG , is a right angle , ( 30. def . ) the two straight lines AC , AG upon the opposite sides of AB ...
Σελίδα 48
... squares upon the other sides BA , AC , the angle BAC is a right angle . A D From the point A draw ( 11. 1. ) AD at right angles to AC , and make AD equal to BA , and join DC : then because DA is equal to AB , the square of DA is equal to ...
... squares upon the other sides BA , AC , the angle BAC is a right angle . A D From the point A draw ( 11. 1. ) AD at right angles to AC , and make AD equal to BA , and join DC : then because DA is equal to AB , the square of DA is equal to ...
Σελίδα 50
... AC , shall be equal to the square of AB . Upon AB describe ( 46. 1. ) the square ADEB , and through C draw ( 31. 1. ) CF , parallel 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 , parallel to AD or BE ; then AE is equal to the rectangles AF , CE : and AE is the square of AB : and AF is the ...
Σελίδα 51
... AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is 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 ...
... AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is 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 ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 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 ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore