## 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

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 . Side 10

А D B C E B

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

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

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 .### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... Euclid Uten tilgangsbegrensning - 1714 |

Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. To ... Euclid Uten tilgangsbegrensning - 1705 |

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.