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 sider |
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Side 10
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
Side 11
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
Side 12
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
Side 13
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
Side 30
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
... Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like 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 ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 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