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 páginas |
Dentro del libro
Resultados 1-5 de 39
Página 71
... ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. PROP . V. THEOR . F two circles cut one another , they fhall not have the fame centre . IF ...
... ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. PROP . V. THEOR . F two circles cut one another , they fhall not have the fame centre . IF ...
Página 73
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the ftraight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greateft ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the ftraight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greateft ...
Página 80
... circle : and , of all others , that which is nearer to the cen- tre is always greater than one more remote ; and the greater is nearer to the centre than the less . Let ABCD be a circle , of which the diameter is AD , and the centre E ...
... circle : and , of all others , that which is nearer to the cen- tre is always greater than one more remote ; and the greater is nearer to the centre than the less . Let ABCD be a circle , of which the diameter is AD , and the centre E ...
Página 85
... ABC be a circle , and BEC an angle at the centre , and Book III . BAC an angle at the circumference , which have the fame cir- cumference BC for their base ; the angle BEC is double of the angle BAC . a A First , let E the centre of the ...
... ABC be a circle , and BEC an angle at the centre , and Book III . BAC an angle at the circumference , which have the fame cir- cumference BC for their base ; the angle BEC is double of the angle BAC . a A First , let E the centre of the ...
Página 86
... circle , are together equal to two right TH angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its oppofite angles are together equal to two right angles . D Join AC , BD ; and because the three angles of every ...
... circle , are together equal to two right TH angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its oppofite angles are together equal to two right angles . D Join AC , BD ; and because the three angles of every ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
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