Instructions Given in the Drawing School Established by the Dublin Society: Course of mathematicks. System of the physical world. System of the moral world. Plan of the military art. Plan of the marcantile arts. Plan of naval art. Plan of mechanic arts. The elements of Euclid
A. M'Culloch, 1769
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ABCD added alſo altitude angles arch Attraction baſe becauſe Bodies circle Comet common cone Conſequently contained cylinder DEMONSTRATION deſcribed determined Diameter diſcovered Diſtance divided double draw drawn Earth ECAUSE equal Equator Experiments fall fame fides figure firſt follows Force given Gravity greater greateſt half Height Hypotheſis Jupiter Laws leſs Likewiſe magnitude manner mean meet Moon Motion multiple Nature Newton Nodes Number Obſervations oppoſite Orbit paſſes Place plane plle Prep Preparation priſm produced proportional PROPOSITION proved pyramid Quantity ratio Rays remaining Rgle round ſame Saturn ſecond ſhould ſides ſimilar ſtraight line ſuch ſuppoſed taken THEOREM theſe Theſis third thoſe thro Tides tion triangles Waters Wherefore whole whoſe
Side 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 164 - When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth : and, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. " Analogy, or proportion, is the similitude of ratios.
Side 165 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals.
Side 241 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Side xxviii - ... bodies that are within the sphere of their activity, and consequently, that not only the sun and moon have .an influence upon the body and motion of the earth, and the earth upon them, but that...
Side 165 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.
Side 226 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side xiv - Oh! qui m'arrêtera sous vos sombres asiles? Quand pourront les neuf Sœurs, loin des cours et des villes, M'occuper tout entier, et m'apprendre des deux Les divers mouvements inconnus à nos yeux, Les noms et les vertus de ces clartés errantes Par qui sont nos destins et nos mœurs différentes.
Side xxviii - Now what these several degrees are I have not yet experimentally verified; but it is a notion which, if fully prosecuted, as it ought to be, will mightily assist the astronomers to reduce all the celestial motions to a certain rule, which I doubt will never be done true without it.