Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with Archimede's Theorems of the Sphere and Cylinder, Investigated by the Method of Indivisibles. Also, Euclide's Data, and A Brief Treatise [added by Flussas] of Regular SolidsW. and J. Mount, 1751 - 384 sider |
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Resultat 1-5 av 15
Side 29
... segment E. I say ZE = AE + Eq . ( a ) For EZ = EA + Eq . PRO P. IV . Fig . 50 . If a right - line Z be cut any wife ... Segments A , E , taken together . I fay that Zq Aq + Eq - + - 2AE . For ZA ( a ) = Aq + AE , and ZE ( a ) EqEA ...
... segment E. I say ZE = AE + Eq . ( a ) For EZ = EA + Eq . PRO P. IV . Fig . 50 . If a right - line Z be cut any wife ... Segments A , E , taken together . I fay that Zq Aq + Eq - + - 2AE . For ZA ( a ) = Aq + AE , and ZE ( a ) EqEA ...
Side 32
... Segment AG . Upon AB ( a ) describe the square AC ( b ) Bifect the fide AD in E , and draw the line EB ; from the line EA produced take EFEB . On AF make the square AH . Then is AH AB × BG . For ¡ For HG being drawn out to I ; the ...
... Segment AG . Upon AB ( a ) describe the square AC ( b ) Bifect the fide AD in E , and draw the line EB ; from the line EA produced take EFEB . On AF make the square AH . Then is AH AB × BG . For ¡ For HG being drawn out to I ; the ...
Side 44
... at least it shall fall partly within and partly without , and fo cut in three points , ( b ) which is abfurd . ( e ) Therefore the segment ABCDEF . Which was to be demonftrated . PROP . PRO P. XXV . Plate II . Fig . 27 44 The third Book of.
... at least it shall fall partly within and partly without , and fo cut in three points , ( b ) which is abfurd . ( e ) Therefore the segment ABCDEF . Which was to be demonftrated . PROP . PRO P. XXV . Plate II . Fig . 27 44 The third Book of.
Side 47
... Segment BAC , is less than a right - angle , and the angle which is in the leffer fegment BFC is greater than a right- angle . Moreover , the angle of the greater fegment is greater than a right - angle , and the angle of the leffer ...
... Segment BAC , is less than a right - angle , and the angle which is in the leffer fegment BFC is greater than a right- angle . Moreover , the angle of the greater fegment is greater than a right - angle , and the angle of the leffer ...
Side 48
... segment ABC containing an angle B ( c ) CAF ( d ) = D . Which was to be done . PROP . XXXV . Fig . 37 . If in a circle DBCA two right - lines AB , DC cut each other , the rectangle comprehended under the fegments AE , EB , of the one ...
... segment ABC containing an angle B ( c ) CAF ( d ) = D . Which was to be done . PROP . XXXV . Fig . 37 . If in a circle DBCA two right - lines AB , DC cut each other , the rectangle comprehended under the fegments AE , EB , of the one ...
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 - 1714 |
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated ... Euclid,Isaac Barrow Uten tilgangsbegrensning - 1732 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 18 - 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 281 - ... 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 2 - XV. A Circle is a plain figure contained under one line, which is called a circumference ; unto which all lines, drawn from one point within the figure, and falling upon the circumference thereof, are equal the one to the other. XVI. And that point is called the center of the circle. XVII. A Diameter of a circle is a right-line drawn thro' the center thereof, and ending at the circumference on either fide, dividing the circle into two equal parts.
Side 95 - An EVEN NUMBER is that which can be divided into two equal whole numbers.
Side 381 - Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required.
Side 197 - ... 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 rightangled parallelogram about one of its sides which remains fixed.
Side 196 - ... 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. XII. A Pyramid is a folid Figure comprehended under divers Planes fet upon one Plane, and put together at one Point. ' «. XIII. A Prifm is a folid Figure contained under Planes, whereof the two oppofite are equal, fimilar, and parallel, and the others Parallelograms.
Side 353 - To divide one number by another.* Subtract the logarithm of the divisor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient.
Side 2 - ... parts. XVIII. A Semicircle is a figure which is contained under the diameter and that part of the circumference which is cut off by the diameter. In the circle EABCD, E is the center, AC the diameter > ABC the femi circle.
Side 51 - ... 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.