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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 1-5 av 39
Side 155
... is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the ftraight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. TRI PROP OF EUCLID . 155.
... is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the ftraight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. TRI PROP OF EUCLID . 155.
Side 156
... altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC is to the base CD , fo is ...
... altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC is to the base CD , fo is ...
Side 157
... altitudes , are one to another as their bafes . e II.5 . Let the figures be placed fo as to have their bases in the ... 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 bafes . e II.5 . Let the figures be placed fo as to have their bases in the ... altitude , viz . the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for ...
Side 229
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines of the plane oppofite to the bafe , are equal to one another . P 3 Let See N. Book XI . Let the folid parallelepipeds AH , AK OF EUCLID . 229.
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines of the plane oppofite to the bafe , are equal to one another . P 3 Let See N. Book XI . Let the folid parallelepipeds AH , AK OF EUCLID . 229.
Side 230
... altitude , and let their infisting straight See the f - lines AF , AG , LM , LN , be terminated in the fame ftraight line FN , and CD , CE , BH , BK be terminated in the fame straight line DK ; the folid AH is equal to the folid AK ...
... altitude , and let their infisting straight See the f - lines AF , AG , LM , LN , be terminated in the fame ftraight line FN , and CD , CE , BH , BK be terminated in the fame straight line DK ; the folid AH is equal to the folid AK ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore