The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 6-10 of 67
Page 5
... the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , BOOK I. - DEFINITIONS , & c . 5.
... the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , BOOK I. - DEFINITIONS , & c . 5.
Page 39
... to the angle BAC : but DAC is at right angle ; therefore also BAC is at right angle . Therefore , if Constr . the square , & c . Q. E. D. * * † 8.1 . † 1 Ax . THE ELEMENTS OF EUCLID . BOOK II . DEFINITIONS . BOOK I. PROP . XLVIII . 39.
... to the angle BAC : but DAC is at right angle ; therefore also BAC is at right angle . Therefore , if Constr . the square , & c . Q. E. D. * * † 8.1 . † 1 Ax . THE ELEMENTS OF EUCLID . BOOK II . DEFINITIONS . BOOK I. PROP . XLVIII . 39.
Page 40
... DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which con- tain one of the right angles . II . In every parallelogram , any of the parallelograms about a ...
... DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which con- tain one of the right angles . II . In every parallelogram , any of the parallelograms about a ...
Page 53
... of EH . Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH . Which was to be done . THE ELEMENTS OF EUCLID . BOOK III . DEFINITIONS . BOOK II . PROP . XIV . 53.
... of EH . Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH . Which was to be done . THE ELEMENTS OF EUCLID . BOOK III . DEFINITIONS . BOOK II . PROP . XIV . 53.
Page 54
... DEFINITIONS . I. EQUAL circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . " This is not a definition , but a theorem , the truth of which is evident ...
... DEFINITIONS . I. EQUAL circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . " This is not a definition , but a theorem , the truth of which is evident ...
Other editions - View all
The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore