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 of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 σελίδες |
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Σελίδα 11
... produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
... produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
Σελίδα 12
... produced , shall at length meet upon that side on which " are the angles which are less than two right angles . See " the notes on prop . 29. of Book I. " PROPOSITION I. PROBLEM . To describe an equilateral triangle upon 12 BOOK I. THE ...
... produced , shall at length meet upon that side on which " are the angles which are less than two right angles . See " the notes on prop . 29. of Book I. " PROPOSITION I. PROBLEM . To describe an equilateral triangle upon 12 BOOK I. THE ...
Σελίδα 13
... produce ( 2 . Post . ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH , and from the cen- tre D , at the distance DG , describe the circle GKL . AL shall be equal ...
... produce ( 2 . Post . ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH , and from the cen- tre D , at the distance DG , describe the circle GKL . AL shall be equal ...
Σελίδα 15
... produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal ...
... produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal ...
Σελίδα 18
... produce AC , AD to E , F ; there- fore , because AC is equal to AD in the E F triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ...
... produce AC , AD to E , F ; there- fore , because AC is equal to AD in the E F triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone 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 meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition 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 third triangle ABC triplicate ratio vertex wherefore