The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page ix
... divided into three parts , viz , the Contemplation of Superficies , Numbers , and Solids : the first four Books treat of planes only ; the fifth of the pro- portions of magnitudes in general ; the 6th of the proportion of plane figures ...
... divided into three parts , viz , the Contemplation of Superficies , Numbers , and Solids : the first four Books treat of planes only ; the fifth of the pro- portions of magnitudes in general ; the 6th of the proportion of plane figures ...
Page 13
... divided into two equal parts in the point D. Which was to be done . PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given straight ...
... divided into two equal parts in the point D. Which was to be done . PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given straight ...
Page 28
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F , within the figure to each of its angles . And , by the preceding proposition , all the angles of these triangles are equal to twice as ...
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F , within the figure to each of its angles . And , by the preceding proposition , all the angles of these triangles are equal to twice as ...
Page 40
... divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
... divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
Page 41
... divided into any two parts , the rect- angles contained by the whole and each of the parts , are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C : the rectangle ...
... divided into any two parts , the rect- angles contained by the whole and each of the parts , are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C : the rectangle ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn 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