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 |
Inni boken
Resultat 1-5 av 100
Side 7
... A POINT is that which hath no parts , or which hath no magni- tude . II . III . A line is length without breadth .. The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . ར . A ...
... A POINT is that which hath no parts , or which hath no magni- tude . II . III . A line is length without breadth .. The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . ར . A ...
Side 8
... a point , it may be expressed by the ' letter placed at that point ; as the angle at E. ' X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
... a point , it may be expressed by the ' letter placed at that point ; as the angle at E. ' X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
Side 12
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle ... point C , in which the circles cut one another , draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC ...
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle ... point C , in which the circles cut one another , draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC ...
Side 13
... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP III . PROB . FROM the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP III . PROB . FROM the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
Side 17
... a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bi- sect it . A Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and ...
... a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bi- sect it . A Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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