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 σελίδες |
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Σελίδα 3
... Plate I. Fig . 4 . XXV . A Scalenum , is a triangle whose three fides are all unequal ; as ABC . Fig . 5 . XXVI . Of these trilateral figures , a right - angled tri- angle is that which hath one right - angle , as the triangle ABD . Fig ...
... Plate I. Fig . 4 . XXV . A Scalenum , is a triangle whose three fides are all unequal ; as ABC . Fig . 5 . XXVI . Of these trilateral figures , a right - angled tri- angle is that which hath one right - angle , as the triangle ABD . Fig ...
Σελίδα 4
... Plate I. Fig . 7 . XXXVI . In a Parallelogram AGEL , Fig . 9. when a diameter AE , and two lines BK , CF , parallel to the fides , cutting the diameter in one and the fame point D , are drawn , so that the Parallelogram be divided by ...
... Plate I. Fig . 7 . XXXVI . In a Parallelogram AGEL , Fig . 9. when a diameter AE , and two lines BK , CF , parallel to the fides , cutting the diameter in one and the fame point D , are drawn , so that the Parallelogram be divided by ...
Σελίδα 7
... Plate I. Fig . 14 . Two right - lines , A and DC , being given , from the greater DC , to take away the right - line DE , equal to the lefer A. From the point D ( a ) draw the right - line B D A. The circle defcribed from the center D ...
... Plate I. Fig . 14 . Two right - lines , A and DC , being given , from the greater DC , to take away the right - line DE , equal to the lefer A. From the point D ( a ) draw the right - line B D A. The circle defcribed from the center D ...
Σελίδα 8
... Plate I Fig . 4 . If two angles BCA , ACB of a triangle ABC , be equal the one to the other , the fides BC , AB , fubtcnded under the equal angles , shall also be equal one to the other . If the fides be not equal , let one be bigger ...
... Plate I Fig . 4 . If two angles BCA , ACB of a triangle ABC , be equal the one to the other , the fides BC , AB , fubtcnded under the equal angles , shall also be equal one to the other . If the fides be not equal , let one be bigger ...
Σελίδα 14
... Plate I. Fig . 25 . If from the utmost points of one fide BC , of a triangle ABC , two right - lines BD , CD , be drawn to any point within the triangle , then are both those two lines horter than the two other fides of the triangle BA ...
... Plate I. Fig . 25 . If from the utmost points of one fide BC , of a triangle ABC , two right - lines BD , CD , be drawn to any point within the triangle , then are both those two lines horter than the two other fides of the triangle BA ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 95 - An EVEN NUMBER is that which can be divided into two equal whole numbers.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.