Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles |
Inni boken
Side 4
Of these Trilateral figures , a right - angled Triangle is that which has one right angle ; as the Triangle A. A B ... Two figures are equiangular , if the several angles of the one figure be equal to the several angles of the other .
Of these Trilateral figures , a right - angled Triangle is that which has one right angle ; as the Triangle A. A B ... Two figures are equiangular , if the several angles of the one figure be equal to the several angles of the other .
Side 9
With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles Euclid, Isaac Barrow. PROPOSITION I. U Pon a finite right line given AB , to describe an equilateral triangle ACB .
With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles Euclid, Isaac Barrow. PROPOSITION I. U Pon a finite right line given AB , to describe an equilateral triangle ACB .
Side 10
А D B C E B If two triangles B AC , EDF , have two sides of ahe one BA , AC equal to two sides of the other ED , DF , each to its correspondent fide ( that is , BAGED , and and AC = DF ) and have the angle A о The first Book of.
А D B C E B If two triangles B AC , EDF , have two sides of ahe one BA , AC equal to two sides of the other ED , DF , each to its correspondent fide ( that is , BAGED , and and AC = DF ) and have the angle A о The first Book of.
Side 11
and AC = DF ) and have the angle A equal to the angle D contained under the equal right lines ; they shall have the ... to the triangle EDF ; and the remaining angles B , C , Mall be equal to the remaining angles E , F , each to each ...
and AC = DF ) and have the angle A equal to the angle D contained under the equal right lines ; they shall have the ... to the triangle EDF ; and the remaining angles B , C , Mall be equal to the remaining angles E , F , each to each ...
Side 12
Hence , every equilateral triangle is also equiangular . PROP . VI . If two angles ABC , ACB of a triangle ABC be equal the one to the other , the sides AC , AB subtended under the equal angles , fball also be equal one to the other .
Hence , every equilateral triangle is also equiangular . PROP . VI . If two angles ABC , ACB of a triangle ABC be equal the one to the other , the sides AC , AB subtended under the equal angles , fball also be equal one to the other .
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. with ... Isaac Barrow,Isaac Euclid,Francois Foix De Candale Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 2 - The radius of a circle is a right line drawn from the centre to the circumference.
Side 1 - Bounds) of a Line, are Points. IV. A Right Line, is that which lietb evenly between its Points.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Bibliografisk informasjon
| Tittel | Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles |
| Forfattere | Euclid, Isaac Barrow |
| Redaktør | Isaac Barrow |
| Utgiver | W. Redmayne, 1714 |
| Original fra | University of Michigan |
| Digitalisert | 8. jun 2007 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |