The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 13
... PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . + Constr . Describe✶ upon it an equilateral ...
... PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . + Constr . Describe✶ upon it an equilateral ...
Page 18
... PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . B Let ABC be any triangle ; any two of its angles together shall be less than two right angles . Produce BC to D ; and because ACD is the ...
... PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . B Let ABC be any triangle ; any two of its angles together shall be less than two right angles . Produce BC to D ; and because ACD is the ...
Page 19
... PROP . XX . THEOR . B Any two sides of a triangle are together greater than the See N. third side . Let ABC be a triangle : any two sides of it together shall be greater than the third side , viz . the sides BA , AC greater than the ...
... PROP . XX . THEOR . B Any two sides of a triangle are together greater than the See N. third side . Let ABC be a triangle : any two sides of it together shall be greater than the third side , viz . the sides BA , AC greater than the ...
Page 21
... PROP . XXIII . PROB . At a given point in a given straight line , to make a recti- lineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ...
... PROP . XXIII . PROB . At a given point in a given straight line , to make a recti- lineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ...
Page 25
... PROP . XXVIII . THEOR . If a straight line falling upon two other straight lines make the exterior angle equal to ... prop 17 ) because any 2 Lr of a A are 17 ) 2rh Ls the cause " BG H + L 189 = not meet for then they would foun a 4 * By ...
... PROP . XXVIII . THEOR . If a straight line falling upon two other straight lines make the exterior angle equal to ... prop 17 ) because any 2 Lr of a A are 17 ) 2rh Ls the cause " BG H + L 189 = not meet for then they would foun a 4 * By ...
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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