The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
Dentro del libro
Página iii
Euclid Robert Simson. 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 ...
Euclid Robert Simson. 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 ...
Página v
... Euclid's name , are very different and contrary to one another . Peter Ramus -ascribes the propositions , as well as their demonstrations , to Theon ; others think the propositions to be Euclid's , but that the demonstrations are ...
... Euclid's name , are very different and contrary to one another . Peter Ramus -ascribes the propositions , as well as their demonstrations , to Theon ; others think the propositions to be Euclid's , but that the demonstrations are ...
Página vii
Euclid Robert Simson. plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the solid angles are contained by no more than three plane anglesnor of ...
Euclid Robert Simson. plane angles of the same number and magnitude , placed in the same order ; but neither is this universally true , except in the case in which the solid angles are contained by no more than three plane anglesnor of ...
Página 31
Euclid Robert Simson. " Let ABC , DEF be two triangles which have the two sides Book I. AB , AC equal to the two DE , DF , each to each , viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ; the base BC is ...
Euclid Robert Simson. " Let ABC , DEF be two triangles which have the two sides Book I. AB , AC equal to the two DE , DF , each to each , viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ; the base BC is ...
Página 69
Euclid Robert Simson. For , if it be not , let , if possible , G be the centre , and join Book III . GA , GD , GB : then , because DA is equal to DB , and DG C common to the two triangles ADG , BDG , the two sides AD DG are e- qual to ...
Euclid Robert Simson. For , if it be not , let , if possible , G be the centre , and join Book III . GA , GD , GB : then , because DA is equal to DB , and DG C common to the two triangles ADG , BDG , the two sides AD DG are e- qual to ...
Otras ediciones - Ver todas
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