Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With Archimedes Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles
W. Redmayne, 1714 - 520 sider
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...
Uten tilgangsbegrensning - 1751
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ...
Uten tilgangsbegrensning - 1714
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated ...
Uten tilgangsbegrensning - 1732
ABCD abſurd againſt alſo given altitude angle ABC baſe BC is given becauſe circle commenſurable compoſed compounded conſequently conſtr Coroll cube Demonſtr deſcribed diameter Dodecaedron drawn equilateral fides figure firſt Foraſmuch fore given by kind given by magnitude given by poſition given magnitude given reaſon greater greateſt hath Icoſaedron incommenſurable inſcribed Laſtly leaſt leſs leſſer likewiſe line BC meaſure medial oppoſite P R O parallel parallelepipedon parallelogram pentagone perpendicular plane priſms prop pyramides reëtangle reſt right angles right line ſaid ſame ſay ſch Schol Scholium ſecond ſeeing ſegment ſhall be equal ſide ſolid ſome ſpace ſphere ſquare ſquare number ſuch ſuperficies ſuppoſed thence theſe thoſe triangle ABC whence wherefore whole whoſe
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.