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 Demonstrations are Restored ; Also the Book O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 σελίδες |
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Σελίδα 9
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have ...
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have ...
Σελίδα 10
... remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And because the whole AF , is equal to the whole AG , D of which the parts ...
... remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And because the whole AF , is equal to the whole AG , D of which the parts ...
Σελίδα 17
... remaining angle CEA is equal to the remaining angle DEB . In the same manner 3. Ax . it can be demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & c , Q. E. D. b COR . 1. From this it is manifest ...
... remaining angle CEA is equal to the remaining angle DEB . In the same manner 3. Ax . it can be demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & c , Q. E. D. b COR . 1. From this it is manifest ...
Σελίδα 18
... remaining angles to the remaining angles , each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ACD is greater ...
... remaining angles to the remaining angles , each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ACD is greater ...
Σελίδα 27
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore if a straight line , & c . Q. E , D. PROP . XXIX . THEOR . this propo IF a straight line fall upon two ...
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore if a straight line , & c . Q. E , D. PROP . XXIX . THEOR . this propo IF a straight line fall upon two ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter 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 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 sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex