Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles |
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And a Brief TREATISE of a REGULAR SOLIDS , Kabupuoi fuqñs agoxís cidir as na In pianinai boissmos . LONDON : Printed and Sold by W. Redmayne in Fewen - Street , R. Mount on Tower - bil , and J. and B. Sprint in Little - britain . 1714 .
And a Brief TREATISE of a REGULAR SOLIDS , Kabupuoi fuqñs agoxís cidir as na In pianinai boissmos . LONDON : Printed and Sold by W. Redmayne in Fewen - Street , R. Mount on Tower - bil , and J. and B. Sprint in Little - britain . 1714 .
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As to four of the Books , viz . the seventb , eigbeb , nintb , and tentb , altho ' they don't so nearly appertain to the Elements of plain and solid Geometry , as tbe fix precedent and the two subsequent , yet none of the more skilful ...
As to four of the Books , viz . the seventb , eigbeb , nintb , and tentb , altho ' they don't so nearly appertain to the Elements of plain and solid Geometry , as tbe fix precedent and the two subsequent , yet none of the more skilful ...
Seite 144
... produce a third , the multiplier shall measure the product by the multiplicand ; and the multiplicand shall measure the same by the multiplier . Hence , No prime number is either a plane , solid , Square , or cube number . 8.
... produce a third , the multiplier shall measure the product by the multiplicand ; and the multiplicand shall measure the same by the multiplier . Hence , No prime number is either a plane , solid , Square , or cube number . 8.
Seite 173
And the solid CDE is to the folid FGH , in treble proportion of that which the bomologous fide C has to the homologous fide F. Whereas by the * hyp . C.D :: F.G , & D.E :: * 21.def.7 . G. H. therefore a by inversion shall C. F :: D . a ...
And the solid CDE is to the folid FGH , in treble proportion of that which the bomologous fide C has to the homologous fide F. Whereas by the * hyp . C.D :: F.G , & D.E :: * 21.def.7 . G. H. therefore a by inversion shall C. F :: D . a ...
Seite 174
B are solid numbers . But for that Cf = FM , and h 17.7 . ' Df = FN , therefore shall M , N h :: FM . ÉN k k 7. 5 . :: C.Dl :: E.F :: H.K .: P. L. m wherefore A and i conftr . Bare like solid numbers . Which was to be dem . mzi.def.7 .
B are solid numbers . But for that Cf = FM , and h 17.7 . ' Df = FN , therefore shall M , N h :: FM . ÉN k k 7. 5 . :: C.Dl :: E.F :: H.K .: P. L. m wherefore A and i conftr . Bare like solid numbers . Which was to be dem . mzi.def.7 .
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: With ... Isaac Barrow,Isaac Euclid,Francois Foix De Candale Keine Leseprobe verfügbar - 2018 |
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Beliebte Passagen
Seite 26 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 406 - ... which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn...
Seite 269 - A fphere is a folid figure defcribed by the revolution of a i'emicircle about its diameter, which remains unmoved. XV. The axis of a fphere is the fixed ftraight line about which the femicircle revolves. XVI. The centre of a fphere is the fame with that of the femicircle. XVII. The diameter of a fphere is any ftraight line which pafles through the centre, and is terminated both ways by the fuperficies of the fphere.
Seite 2 - The radius of a circle is a right line drawn from the centre to the circumference.
Seite 1 - Bounds) of a Line, are Points. IV. A Right Line, is that which lietb evenly between its Points.
Seite 269 - ... be less than the other side, an obtuse angled ; and if greater, an acute angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves. XX. The base of a cone is the circle described by that side containing the right angle which revolves. XXI. A cylinder is a solid figure described by the revolution of a right angled parallelogram about one of its sides which remains fixed.
Seite 26 - ... the fum of the remaining angles of the one triangle equal to the fum of the remaining angles of the other. 3 . If one angle in a triangle be right, the other two are equal to a right-angle.
Seite 76 - ... the angular points of the figure about which it is defcribed, each thro' each. III. A rectilineal figure is faid to be infcribed in a circle, when all the angles of the infcribed figure are upon the circumference of the circle.
Seite 77 - ... touch the circumference of the circle. IV A right-lined figure is faid to be defcribed about a circle, when all the fides of the figure which is circumfcribed touch the periphery of the circle V.
Seite 269 - Right Lines that touch one another, and are •not in the fame Superficies: Or, a folid Angle is that which is contained under more than two plane Angles which are not in the fame Superficies, but being all at one Point.
Bibliografische Informationen
| Titel | Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles |
| Autoren | Euclid, Isaac Barrow |
| Herausgeber | Isaac Barrow |
| Verlag | W. Redmayne, 1714 |
| Original von | University of Michigan |
| Digitalisiert | 8. Juni 2007 |
| Länge | 520 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |