The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 77
Page ix
... Four Books of Conics . The most celebrated of these , is the first work , the Elements of Geometry ; of which there have been numberless editions in all languages ; and a fine edition of all his works , now extant , was printed in 1703 ...
... Four Books of Conics . The most celebrated of these , is the first work , the Elements of Geometry ; of which there have been numberless editions in all languages ; and a fine edition of all his works , now extant , was printed in 1703 ...
Page 3
... four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three equal sides . B 2 " XXV . An isosceles triangle is ...
... four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three equal sides . B 2 " XXV . An isosceles triangle is ...
Page 4
... four - sided figures , a square is that which has all its sides equal , and all its angles right angles . See N. XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is ...
... four - sided figures , a square is that which has all its sides equal , and all its angles right angles . See N. XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is ...
Page 5
... four - sided figures besides these , are called Trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a ...
... four - sided figures besides these , are called Trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a ...
Page 17
... four right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are toge- ther equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior ...
... four right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are toge- ther equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior ...
Other editions - View all
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