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 5
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
Σελίδα 32
... double of the triangle BDC ; and they are there- fore equal to one another . Ax .. But , if the sides AD , EF , opposite to the base BC of the parallelograms B ABCD , EBCF , be not terminated in the same point ; then , be- cause ABCD is ...
... double of the triangle BDC ; and they are there- fore equal to one another . Ax .. But , if the sides AD , EF , opposite to the base BC of the parallelograms B ABCD , EBCF , be not terminated in the same point ; then , be- cause ABCD is ...
Σελίδα 35
... XLI . THEOR . IF a parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . BOOK I. Let the parallelogram ABCD and the triangle EBC D 2 OF EUCLID . 35.
... XLI . THEOR . IF a parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . BOOK I. Let the parallelogram ABCD and the triangle EBC D 2 OF EUCLID . 35.
Σελίδα 36
... double of the triangle EBC . DE Join AC ; then the triangle ABC is 37. 1. equal to the triangle EBC , because they are upon the same base BC , and between the same parallels BC , AE . 34. 1. But the parallelogram ABCD is double of the ...
... double of the triangle EBC . DE Join AC ; then the triangle ABC is 37. 1. equal to the triangle EBC , because they are upon the same base BC , and between the same parallels BC , AE . 34. 1. But the parallelogram ABCD is double of the ...
Σελίδα 41
... doubles of the triangle ABD , because they are upon the same base BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle FBC , because these also are upon the same base FB , and between the same ...
... doubles of the triangle ABD , because they are upon the same base BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle FBC , because these also are upon the same base FB , and between the same ...
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