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 10
... Manner Co Euclid. vi mathematical learning , is promoted as far as the limited powers of the mind allow ; and which likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary ...
... Manner Co Euclid. vi mathematical learning , is promoted as far as the limited powers of the mind allow ; and which likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary ...
Σελίδα 11
... Manner Co Euclid. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag- nitude . * A line is length without breadth . II . III . The extremities of a line are points . IV . A ...
... Manner Co Euclid. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag- nitude . * A line is length without breadth . II . III . The extremities of a line are points . IV . A ...
Σελίδα 12
... Manner Co Euclid. 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 side of it taken ...
... Manner Co Euclid. 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 side of it taken ...
Σελίδα 13
... Manner Co Euclid. PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at ...
... Manner Co Euclid. PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at ...
Σελίδα 30
... Manner Co Euclid. For , if it be not greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal A D ( 4. 1. ) to EF ; but it is not ; therefore the angle ...
... Manner Co Euclid. For , if it be not greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal A D ( 4. 1. ) to EF ; but it is not ; therefore the angle ...
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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