The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page viii
... whole has been carefully revised throughout . Short Notices of the Lives of EUCLID , and of his ablest translator and commentator , DR . SIMSON , are now , for the first time prefixed , and are chiefly drawn from Dr. Hutton's ...
... whole has been carefully revised throughout . Short Notices of the Lives of EUCLID , and of his ablest translator and commentator , DR . SIMSON , are now , for the first time prefixed , and are chiefly drawn from Dr. Hutton's ...
Page 6
... whole is greater than its part . X. Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . " If a straight line meet two , straight lines , so as to " make the two interior angles on the same ...
... whole is greater than its part . X. Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . " If a straight line meet two , straight lines , so as to " make the two interior angles on the same ...
Page 9
... whole triangle ABC † 8 Ax . coincides with the whole triangle DEF , and is equal to it ; and the other angles of the one coincide with the remaining angles of the other , and are equal to them , viz . the angle ABC to the angle DEF ...
... whole triangle ABC † 8 Ax . coincides with the whole triangle DEF , and is equal to it ; and the other angles of the one coincide with the remaining angles of the other , and are equal to them , viz . the angle ABC to the angle DEF ...
Page 10
... whole AF is equal to the whole AG , of which the parts AB , AC are equal ; the remainder BF is equal to the remainder CG : and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ...
... whole AF is equal to the whole AG , of which the parts AB , AC are equal ; the remainder BF is equal to the remainder CG : and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ...
Page 28
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC : to each of these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are ...
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC : to each of these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are ...
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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