Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles |
Im Buch
Ergebnisse 1-5 von 100
Seite 4
An Oxygonium , or acute - angled Triangle , is that which has three acute angles ; An Equiangular , or equal - angled figure is that whereof all the angles are equal . Two figures are equiangular , if the several angles of the one ...
An Oxygonium , or acute - angled Triangle , is that which has three acute angles ; An Equiangular , or equal - angled figure is that whereof all the angles are equal . Two figures are equiangular , if the several angles of the one ...
Seite 7
If to equal things you add equal things , the wholes shall be equal . 3. If from equal things you take away equal things , the things remaining will be equal , 4. If to unequal things you add equal things , the wholes will be unequal .
If to equal things you add equal things , the wholes shall be equal . 3. If from equal things you take away equal things , the things remaining will be equal , 4. If to unequal things you add equal things , the wholes will be unequal .
Seite 8
If to equal things you add things unequal , the excess of the wholes shall be equal to the excess of the additions . 16. If to unequal things equal be added , the excess of the wholes shall be equal to the excess of those which were at ...
If to equal things you add things unequal , the excess of the wholes shall be equal to the excess of the additions . 16. If to unequal things equal be added , the excess of the wholes shall be equal to the excess of those which were at ...
Seite 11
and AC = DF ) and have the angle A equal to the A angle D contained under the equal right lines ; they Mall have the base BC equal to the base EF ; and the triangle BAC shall be equal to the triangle EDF ; and the remaining angles B ...
and AC = DF ) and have the angle A equal to the A angle D contained under the equal right lines ; they Mall have the base BC equal to the base EF ; and the triangle BAC shall be equal to the triangle EDF ; and the remaining angles B ...
Seite 12
If two angles ABC , ACB of a triangle ABC be equal the one to the other , t ! e fides ĀC , AB subtended under the equal angles , fball also be equal one to the other . C If the fides be not equal , let one be bigger than the other ...
If two angles ABC , ACB of a triangle ABC be equal the one to the other , t ! e fides ĀC , AB subtended under the equal angles , fball also be equal one to the other . C If the fides be not equal , let one be bigger than the other ...
Was andere dazu sagen - Rezension schreiben
Es wurden keine Rezensionen gefunden.
Andere Ausgaben - Alle anzeigen
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: With ... Isaac Barrow,Isaac Euclid,Francois Foix De Candale Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
ABCD alſo given altitude baſe becauſe circle common compounded Cone conſequently Conſtr contained Coroll cube Demonſtr deſcribed diameter divided double draw drawn equal equilateral fall fame fide figure firſt fore fourth given by kind given by poſition given magnitude given reaſon greater hath Hence join leaſt leſs likewiſe line BC magnitude manner meaſure medial multiplied parallel parallelogram pentagone perpendicular plane prime produced PROP proportion pyramides rational reaſon rectangle remaining reſidual right angles right line ſaid ſame ſay ſecond ſeeing ſegment ſhall ſide ſolid ſpace ſphere ſquare ſuperficies Take taken thence thereof theſe things third thoſe triangle triangle ABC whence Wherefore whole whoſe
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 |