The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
Inni boken
Resultat 1-5 av 57
Side vi
... definition which Eu- doxus or Euclid had given of compound ratio , and giving an absurd one in place of it in the 5th definition of the 6th book , which neither Euclid , Archimedes , Appolonius , nor any ge- . ometer before Theon's time ...
... definition which Eu- doxus or Euclid had given of compound ratio , and giving an absurd one in place of it in the 5th definition of the 6th book , which neither Euclid , Archimedes , Appolonius , nor any ge- . ometer before Theon's time ...
Side vii
... definition of this 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 ...
... definition of this 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 ...
Side viii
... definition of book 11th ; besides , the translation is much amended by the friendly assistance of a learned gen ... DEFINITIONS . I. viii ...
... definition of book 11th ; besides , the translation is much amended by the friendly assistance of a learned gen ... DEFINITIONS . I. viii ...
Side 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 ...
Side 50
... ; therefore the an- gle DAC is equal to the angle BAC : but DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c . Q. E. D. B C THE ELEMENTS OF EUCLID . BOOK II . " DEFINITIONS 50 THE ELEMENTS , & c .
... ; therefore the an- gle DAC is equal to the angle BAC : but DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c . Q. E. D. B C THE ELEMENTS OF EUCLID . BOOK II . " DEFINITIONS 50 THE ELEMENTS , & c .
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
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