The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
Im Buch
Ergebnisse 1-5 von 65
Seite 11
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another : Book I. and XVI . And this point is called the centre of the circle . XVII . A diameter ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another : Book I. and XVI . And this point is called the centre of the circle . XVII . A diameter ...
Seite 68
... circumference . " VIII . An angle in a segment is the angle con- tained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . And ...
... circumference . " VIII . An angle in a segment is the angle con- tained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . And ...
Seite 69
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circum- ference ; the straight line drawn from A to B shall fall within the circle . For ...
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circum- ference ; the straight line drawn from A to B shall fall within the circle . For ...
Seite 70
... circumference ; it falls therefore within it . Wherefore , if any two points , & c . Q. E. D. a 1. 3 . b 8.1 . 33 L PROP . III . THEOR . IF a straight line drawn through the centre of a circle bisect a straight line in it which does not ...
... circumference ; it falls therefore within it . Wherefore , if any two points , & c . Q. E. D. a 1. 3 . b 8.1 . 33 L PROP . III . THEOR . IF a straight line drawn through the centre of a circle bisect a straight line in it which does not ...
Seite 73
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore