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 EuclidA. M'Culloch, 1769 - Mathematics |
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Page xv
... Comets , as it is well known , were one of the great Objects of Terror which the Knowledge of the Syftem of the World has , in fine , ( a ) Seneca , Hipolit . 787. Tacit . Ann , Plutarch in Pericle , et de defectu Oraculorum . The Know ...
... Comets , as it is well known , were one of the great Objects of Terror which the Knowledge of the Syftem of the World has , in fine , ( a ) Seneca , Hipolit . 787. Tacit . Ann , Plutarch in Pericle , et de defectu Oraculorum . The Know ...
Page xxi
... Comets of which he was the firft Difcoverer ; and we have feen in 1759 the Accomplishment of his Prediction ; in 1713 he was made Secretary of the Royal Society ; he examined the different Methods for finding the Longitude at Sea , and ...
... Comets of which he was the firft Difcoverer ; and we have feen in 1759 the Accomplishment of his Prediction ; in 1713 he was made Secretary of the Royal Society ; he examined the different Methods for finding the Longitude at Sea , and ...
Page xxvi
... Comets , that they afcend above the Moon ; he was the first who obferved what is called the Moon's variation ; and in fine , it is from his Obfervations on the Motions of the Planets , that Kepler who refided with him , near Prague ...
... Comets , that they afcend above the Moon ; he was the first who obferved what is called the Moon's variation ; and in fine , it is from his Obfervations on the Motions of the Planets , that Kepler who refided with him , near Prague ...
Page xxxiii
... comets the other Bodies of our Syftem , and that they describe Ellipfes fo very excen- tric as to be vifible only while they are moving over a very fmall Part of their Orbit . VII . are planets . and comets observe the All the Planets ...
... comets the other Bodies of our Syftem , and that they describe Ellipfes fo very excen- tric as to be vifible only while they are moving over a very fmall Part of their Orbit . VII . are planets . and comets observe the All the Planets ...
Page xlviii
... of this Propofition , the Remainder of its Orbit is found out , and the Determination of the Orbits of Comets , may in a great Measure be deduced from this Propofition . XI . confequence It is eafy to conceive that in XLVIII . SYSTEM OF ...
... of this Propofition , the Remainder of its Orbit is found out , and the Determination of the Orbits of Comets , may in a great Measure be deduced from this Propofition . XI . confequence It is eafy to conceive that in XLVIII . SYSTEM OF ...
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Common terms and phrases
ABCD alfo alſo arch bafe baſe becauſe Bodies Cafe circle Cofine Comet cone Confequently cylinder defcribed demonftrated DEMONSTRATION diameter difcovered Diſtance draw the ftraight Earth ECAUSE Ecliptic equal Equator equiangular equimultiples fame altitude fame manner fame multiple fame plane fame ratio fecond fegment fhall fhewing fhould fimilar fince firft firſt folid fome Force fphere fquare ftraight lines AC fuch fuppofed given Gravity greateſt heliocentric Hypothefis impoffible interfect Jupiter leaft lefs Likewife line A B magnitude Meaſure Moon moſt Motion Newton Nodes Number Obfervations oppofite Orbit paffes pafs parallelepiped parallelogram Perihelion plle Prep prifm proportional PROPOSITION pyramid Rays rectilineal figure Revolution Rgle right angles Saturn Syfigies Syftem Tangent thefe Thefis THEOREM theſe thofe thoſe thro Tides tion triangle true Anomaly Vafe Wherefore whofe
Popular passages
Page 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Page 4 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 226 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Page 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.
Page 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.