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 8
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a ...
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a ...
Σελίδα 21
... shown that BA , AC are greater than BE , EC , much more then are BA , TAC greater than BD , DC . E D Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the ...
... shown that BA , AC are greater than BE , EC , much more then are BA , TAC greater than BD , DC . E D Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the ...
Σελίδα 29
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
Σελίδα 31
... shown to be equal to it . 27. 1 . Therefore , straight lines , & c . Q. E.D. PROP . XXXIV . THEOR . THE opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into ...
... shown to be equal to it . 27. 1 . Therefore , straight lines , & c . Q. E.D. PROP . XXXIV . THEOR . THE opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into ...
Σελίδα 61
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre ...
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre ...
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