Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated : with Archimedes's Theorems of the Sphere and Cylinder, Investigated by the Method of IndivisiblesDaniel Midwinter and Aaron Ward, 1732 - 514 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is given ABCD abfurd alfo given alſo altitude angle ABC angle BAC bafe baſe becauſe bifect binomial circle commenfurable compounded Cone confequently Conftr Coroll cube defcribed demonftrated diameter Dodecaedron drawn equilateral faid fame fball fecond feeing fegment fhall fide figure fince firft folid angle fome Forafmuch fore fphere fquare number fuperficies fuppofe given angle given in kind given in magnitude given in pofition given Magnitude given ratio greater hath Icofaedron infcribed interfection leaft lefs likewife meaſure medial oppofite parallel parallelogram pentagone perpendicular plane prifmes PROP proportion pyramides rectangle refidual line right angles right line AB right line BC right-line Schol Scholium ſhall thefe thofe triangle ABC whence Wherefore whofe whole
Δημοφιλή αποσπάσματα
Σελίδα 120 - An EVEN NUMBER is that which can be divided into two equal whole numbers.
Σελίδα 325 - ... 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...
Σελίδα 46 - Hence, a right line drawn from the extremity of the .diameter of a circle, and at right -angles, is a tangent to the faid circle. From this propofition are gathered many paradoxes, and wonderful confecbtries, which you may meet with in the interpreters.
Σελίδα 248 - Right-lined plane Angles equal , from whofe Points equal Right Lines be elevated on the Planes of the Angles, containing equal Angles with the Lines firft given, each to each ; Perpendiculars drawn from the extreme Points of thofe elevated Lines to the Planes of the Angles firft given, are equal to one another.
Σελίδα 174 - Divide KM into as many equal parts as there are units in the number B, and let as many of thefe, as there are units in the number C, b make the right line HR, it is manifeft that KM.
Σελίδα 61 - A circle is faid to be defcribcd about a figure when the periphery of the circle touches all the angles of the figure, which it circumfcribes. VII. A right line is faid to be fitted or applied in a circle when the extremes thereof fall upon the circumference; as the right line AB.
Σελίδα 20 - DBCF, becaufe they are upon the fame bafe BC, and between the fame parallels BC, EF ; and the triangle ABC is the half of the parallelogram EBCA...
Σελίδα 73 - A ; and here note, that the quantity which is referred to another quantity, is called the antecedent of the ratio ; and that to which the other is referred is called the consequent of the ratio ; as, in the ratio of A to B, A is the antecedent, and B the consequent.
Σελίδα 230 - Diameter of a fphere, is a right line drawn thro' the center, and terminated on either fide in the fuperficies of the fphere. XVIII. A Cone is a figure made, when one fide of a rectangled triangle ( v'fz.