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 very well accommodated for the particular purpose of that moft ingenious Man ) yet feems in my Opinion to labour under a double Defect . First , in regard that , altho ' of two or more Propofitions , produs ced ced for the Proof ...
... and very well accommodated for the particular purpose of that moft ingenious Man ) yet feems in my Opinion to labour under a double Defect . First , in regard that , altho ' of two or more Propofitions , produs ced ced for the Proof ...
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THE FIRST BOOK OF EUCLI DE'S D ELEMENTS . 1 A Definitions . I. Point is that which has no part . II . A Line is a longitude without latitude . III . The ends , or limits , of a line are Points . IV . A Right Line is that which lies ...
THE FIRST BOOK OF EUCLI DE'S D ELEMENTS . 1 A Definitions . I. Point is that which has no part . II . A Line is a longitude without latitude . III . The ends , or limits , of a line are Points . IV . A Right Line is that which lies ...
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A Diameter of a E circle is a right line drawn through the center thereof , and ending at the cirD cumference on either fide , dividing the circle into two equal parts . XVIII . divis The first Book of V ...
A Diameter of a E circle is a right line drawn through the center thereof , and ending at the cirD cumference on either fide , dividing the circle into two equal parts . XVIII . divis The first Book of V ...
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... as ABCD , A as C. c P A D B XXX . A figure on the one square , is that which hath right angles , but not equal fides ; as ABCD , i Honger , or a long А XXXI . A Rhombus , or diamond - figure , XXXL A 4 . The first Book of A ...
... as ABCD , A as C. c P A D B XXX . A figure on the one square , is that which hath right angles , but not equal fides ; as ABCD , i Honger , or a long А XXXI . A Rhombus , or diamond - figure , XXXL A 4 . The first Book of A ...
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If to unequal things equal be added , the excess of the wholes shall be equal to the excess of those which were at first . 17. If from equal things , unequal things be taken away , the excess of the remainders shall be equal to the ...
If to unequal things equal be added , the excess of the wholes shall be equal to the excess of those which were at first . 17. If from equal things , unequal things be taken away , the excess of the remainders shall be equal to the ...
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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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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
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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 |