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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Seite 6
Rom any point to any point to draw a right line . 2. To produce a right line finite , strait forth continually . 3. Upon any center , and at any distance , to describe a circle . Axioms . 1 . Hings equal to the same third , are also ...
Rom any point to any point to draw a right line . 2. To produce a right line finite , strait forth continually . 3. Upon any center , and at any distance , to describe a circle . Axioms . 1 . Hings equal to the same third , are also ...
Seite 9
From the centers A and B B , at the distance of AB , or BA , a ' describe two circles a 3.post . cutting each other in the point C ; from whence b draw two right lines CA , CB . Then is AC cb 1. poft . -ABC - BCI AC . é Wherefore the ...
From the centers A and B B , at the distance of AB , or BA , a ' describe two circles a 3.post . cutting each other in the point C ; from whence b draw two right lines CA , CB . Then is AC cb 1. poft . -ABC - BCI AC . é Wherefore the ...
Seite 10
... from the greater BC to take away Bythe right line BE equal to B the lesser 4 . a 2 , I. At the point B a draw A the right line BD = A. The circle described from the center B at the distance of BD shall cut off b 15. def .
... from the greater BC to take away Bythe right line BE equal to B the lesser 4 . a 2 , I. At the point B a draw A the right line BD = A. The circle described from the center B at the distance of BD shall cut off b 15. def .
Seite 12
I. Make BD - CA , and b draw the line CD . bi . poft . In the triangles DEC , ACB , because BD c fuppof . CA , and the fide BC is common , and the angle d byp . DBC - ACB , the triangles DBC , ACB e shall e 4.
I. Make BD - CA , and b draw the line CD . bi . poft . In the triangles DEC , ACB , because BD c fuppof . CA , and the fide BC is common , and the angle d byp . DBC - ACB , the triangles DBC , ACB e shall e 4.
Seite 14
А. To bisect , or divide into two equal parts , a right - lined angle given B 4C . à Take AD = to AE , and draw the line DE ; upon which b make an equilateral triangle DFE . draw F the right line AF ; it shall bifect the angle .
А. To bisect , or divide into two equal parts , a right - lined angle given B 4C . à Take AD = to AE , and draw the line DE ; upon which b make an equilateral triangle DFE . draw F the right line AF ; it shall bifect the angle .
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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 |