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 sider |
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Resultat 1-5 av 100
Side 5
... 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 another . BOOK I. . IX . The whole is greater than OF EUCLID . 5.
... 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 another . BOOK I. . IX . The whole is greater than OF EUCLID . 5.
Side 6
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight lines , so as to make " the two interior angles on the same ...
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight lines , so as to make " the two interior angles on the same ...
Side 10
... whole AF , is equal to the whole AG , D of which the parts AB , AC , are equal ; the remainder BF shall be to F B E 3 Ax . equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to ...
... whole AF , is equal to the whole AG , D of which the parts AB , AC , are equal ; the remainder BF shall be to F B E 3 Ax . equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to ...
Side 29
... 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 , BAC , ACB ; but the angles ACD , ACB , are equal to ...
... 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 , BAC , ACB ; but the angles ACD , ACB , are equal to ...
Side 31
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of parallelograms are equal to one another ; also , their diameter biseets them ...
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of parallelograms are equal to one another ; also , their diameter biseets them ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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