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 sider |
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Resultat 1-5 av 100
Side 1
... touching the other in the fame plain , yet not lying in the fame strait line . IX . And if the lines which contain the angle , be right lines , it is called a right - lined angle . A X. When IC Ω X When a right - line CG , [ 1 I ] .
... touching the other in the fame plain , yet not lying in the fame strait line . IX . And if the lines which contain the angle , be right lines , it is called a right - lined angle . A X. When IC Ω X When a right - line CG , [ 1 I ] .
Side 2
... right - line CG , ftanding upon a right - line AB , makes the angles on either fide thereof , CGA , CGB , equal one to the other , then both thofe equal angles are right - angles ; and the B right - line CG , which ftandeth on the other ...
... right - line CG , ftanding upon a right - line AB , makes the angles on either fide thereof , CGA , CGB , equal one to the other , then both thofe equal angles are right - angles ; and the B right - line CG , which ftandeth on the other ...
Side 6
... right - line . 2. To produce a finite right - line , ftrait forth conti- nually 3 Upon any center , and at any diftance , to defcribe a circle . I. Axioms . • Things equal to the fame thing , are also equal one to other . As A = B - C ...
... right - line . 2. To produce a finite right - line , ftrait forth conti- nually 3 Upon any center , and at any diftance , to defcribe a circle . I. Axioms . • Things equal to the fame thing , are also equal one to other . As A = B - C ...
Side 7
... right - lines meeting in the fame point , if they be both produced , they fhall neceffarily cut one the other in that point . 12. All right - angles are equal the one to the other . F 13. If a right - line BA , falling on two right - lines ...
... right - lines meeting in the fame point , if they be both produced , they fhall neceffarily cut one the other in that point . 12. All right - angles are equal the one to the other . F 13. If a right - line BA , falling on two right - lines ...
Side 8
... right - lines CA , CB . Then is AC c — AB c — BC d — AC . e Where- fore the triangle ACB is equilateral . Which was to be done . Scholium . After the fame manner upon the line AB may be de- fcribed an Ifofceles triangle , if the ...
... right - lines CA , CB . Then is AC c — AB c — BC d — AC . e Where- fore the triangle ACB is equilateral . Which was to be done . Scholium . After the fame manner upon the line AB may be de- fcribed an Ifofceles triangle , if the ...
Andre utgaver - Vis alle
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... Euclid,Isaac Barrow Uten tilgangsbegrensning - 1714 |
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ... Euclid Uten tilgangsbegrensning - 1751 |
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... Euclid Uten tilgangsbegrensning - 1714 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 120 - An EVEN NUMBER is that which can be divided into two equal whole numbers.
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.