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 |
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Resultados 1-5 de 73
Página 11
... circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . * Book I. XVI . And this point is called the centre of the circle XVII . A diameter of a ...
... circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . * Book I. XVI . And this point is called the centre of the circle XVII . A diameter of a ...
Página 68
... circumference . " 66 Vill . An angle in a fegment is the angle con- taine by two ftraight lines drawn from any point in the circumference of the fegment , to the extremities of the itraight line which is the base of the fegment . IX ...
... circumference . " 66 Vill . An angle in a fegment is the angle con- taine by two ftraight lines drawn from any point in the circumference of the fegment , to the extremities of the itraight line which is the base of the fegment . IX ...
Página 69
... circumference of a circle , the straight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the cir- cumference ; the ftraight line drawn from A to B fhall fall within the circle . For ...
... circumference of a circle , the straight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the cir- cumference ; the ftraight line drawn from A to B fhall fall within the circle . For ...
Página 70
... circumference ; it falls therefore with in it . Wherefore , if any two points , & c . Q. E. D. á 1. 3 . b 8. I. IF PROP . III . THEOR . a ftraight line drawn through the centre of a circle bifect a straight line in it which does not ...
... circumference ; it falls therefore with in it . Wherefore , if any two points , & c . Q. E. D. á 1. 3 . b 8. I. IF PROP . III . THEOR . a ftraight line drawn through the centre of a circle bifect a straight line in it which does not ...
Página 73
... circumference , the great- eft is that in which the centre is , and the other part of that diameter is the leaft ; and , of any others , that which is nearer to the line which paffes through the cén- tre is always greater than one more ...
... circumference , the great- eft is that in which the centre is , and the other part of that diameter is the leaft ; and , of any others , that which is nearer to the line which paffes through the cén- tre is always greater than one more ...
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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