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 41
Side 147
... whole is to the greater segment , as the greater segment is to the less . IV . ared The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . BOOK VI . PROP . I. THEOR . See N. L2.
... whole is to the greater segment , as the greater segment is to the less . IV . ared The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . BOOK VI . PROP . I. THEOR . See N. L2.
Side 148
... altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC , is to the base CD , so is ...
... altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC , is to the base CD , so is ...
Side 149
... altitudes are one to another as their bases . Let their figures be placed so as to have their bases in the same ... altitude , viz , the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for ...
... altitudes are one to another as their bases . Let their figures be placed so as to have their bases in the same ... altitude , viz , the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for ...
Side 221
... and of SeeM the same altitude , the insisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another . BOOK XI . See the figures be- Tow . Let OF EUCLID : 221.
... and of SeeM the same altitude , the insisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another . BOOK XI . See the figures be- Tow . Let OF EUCLID : 221.
Side 222
... altitude , and let their insisting straight lines AF , AG , LM , LN be terminated in the same straight line FN , and CD , CE , BH , BK , be terminated in the same straight line DK ; the solid AH is equal to the solid AK . D First , Let ...
... altitude , and let their insisting straight lines AF , AG , LM , LN be terminated in the same straight line FN , and CD , CE , BH , BK , be terminated in the same straight line DK ; the solid AH is equal to the solid AK . D First , Let ...
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