The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página vi
... book , by which the doctrine of compound ratios is rendered plain and easy . Besides , among the definitions of the 11th book , there is this , which is the 10th , viz . “ Equal and similar solid " figures are those which are contained ...
... book , by which the doctrine of compound ratios is rendered plain and easy . Besides , among the definitions of the 11th book , there is this , which is the 10th , viz . “ Equal and similar solid " figures are those which are contained ...
Página vii
... book depend the 25th and 28th propositions of it ; and , upon the 25th and 26th depend other eight , viz . the 27th , 31st , 32d , 33d , 34th , 36th , 37th , and 40th of the same book ; and the 12th of the 12th book depends upon the 8th ...
... book depend the 25th and 28th propositions of it ; and , upon the 25th and 26th depend other eight , viz . the 27th , 31st , 32d , 33d , 34th , 36th , 37th , and 40th of the same book ; and the 12th of the 12th book depends upon the 8th ...
Página viii
... book . Also the note on the 29th prop . book 1st , is altered , and made more explicit , and a more general demon- stration is given , instead of that which was in the note on the 10th definition of book 11th ; besides , the translation ...
... book . Also the note on the 29th prop . book 1st , is altered , and made more explicit , and a more general demon- stration is given , instead of that which was in the note on the 10th definition of book 11th ; besides , the translation ...
Página 9
Euclid Robert Simson. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag . See Notes . nitude . II . A line is length without breadth . III . The extremities of a line are points ...
Euclid Robert Simson. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag . See Notes . nitude . II . A line is length without breadth . III . The extremities of a line are points ...
Página 10
Euclid Robert Simson. Book I. A D B C E N. B. When several angles are at one point B , any one of ' them is expressed by three letters , of which the letter that is at the vertex of the angle , that is , at the point in which ... Book I. ...
Euclid Robert Simson. Book I. A D B C E N. B. When several angles are at one point B , any one of ' them is expressed by three letters , of which the letter that is at the vertex of the angle , that is , at the point in which ... Book I. ...
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Términos y frases comunes
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