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 |
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Página vi
... third Class goes on in Aftronomy and Perspective , read a Part of Sir Ifaac Newton's Principia , and have a Courfe of Experiments for illuftrating them , performed and explained to them : the Mafter afterwards reads and demonstrates the ...
... third Class goes on in Aftronomy and Perspective , read a Part of Sir Ifaac Newton's Principia , and have a Courfe of Experiments for illuftrating them , performed and explained to them : the Mafter afterwards reads and demonstrates the ...
Página ix
... Third- ly , All the Operations neceffary to make known Truths , ferve as a Proof to an unknown one , are ranged in feparate Articles . Fourthly , The Foundation of each Propofition relative to the Figure , which forms the Minor of the ...
... Third- ly , All the Operations neceffary to make known Truths , ferve as a Proof to an unknown one , are ranged in feparate Articles . Fourthly , The Foundation of each Propofition relative to the Figure , which forms the Minor of the ...
Página x
... third and fourth Degree , by the Means of these Curves . The Conic Sections being finished , they pass to Curves of a fuperior The differ- Order , beginning by the Theory of multiple Points , of Points of Inflec- tion , Points of ...
... third and fourth Degree , by the Means of these Curves . The Conic Sections being finished , they pass to Curves of a fuperior The differ- Order , beginning by the Theory of multiple Points , of Points of Inflec- tion , Points of ...
Página xi
... third Order , have three Fluents of the fecond Order , but the last Fluent of a fluxionary Equation of any Order is fimple ; then the vari- ous Methods imagined by the most eminent Mathematicians for finding thefe Fluents , fuppofing ...
... third Order , have three Fluents of the fecond Order , but the last Fluent of a fluxionary Equation of any Order is fimple ; then the vari- ous Methods imagined by the most eminent Mathematicians for finding thefe Fluents , fuppofing ...
Página xxix
... potius ad obfervationes quas fimul offerebat confiderandas adjicerem ( it is Kepler who speaks ) notæ in fecundam : editionem myfterii cosmographici and the third , the Application of the two first PHYSICAL WORLD . XXIX.
... potius ad obfervationes quas fimul offerebat confiderandas adjicerem ( it is Kepler who speaks ) notæ in fecundam : editionem myfterii cosmographici and the third , the Application of the two first PHYSICAL WORLD . XXIX.
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Términos y frases comunes
ABCD alfo alſo arch bafe baſe becauſe Bodies Cafe caufe centrifugal Force circle Cofine Comet cone Confequently cylinder defcribed demonftrated Diameter diſcovered 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 fide AC fimilar fince firft firſt folid fome Force fquare ftraight lines AC fuch fuppofed Gravity greateſt heliocentric Hypothefis impoffible interfect Jupiter lefs Likewife line A B magnitude Meaſure Moon moſt Motion Newton Nodes Number Obfervations oppofite Orbit pafs thro parallelepiped Perihelion plle Prep prifm proportional PROPOSITION pyramid Rays rectilineal figure Revolution Rgle right angles Saturn ſphere Syfigies Syftem Tangent thefe Thefis THEOREM theſe thofe thoſe Tides tion triangle true Anomaly Vafe Wherefore whofe
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página xxviii - This depends upon three suppositions: — first, that all celestial bodies whatsoever have an attraction or gravitating power towards their own centres, whereby they attract not only their own parts and keep them from flying from them, as we may observe the earth to do, but that they do also attract all the other celestial bodies that are within the sphere of their activity...
Página 164 - VII. 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...
Página 29 - Therefore if two straight lines, &c. QED COR. 1. From this it is manifest, that, if two straight lines cut one another, the angles they make at the point where they cut, are together equal to four right angles.
Página 29 - Cor. 2. And consequently that all the angles made by any number of lines meeting in one point, are together equal to four right angles.
Página xxviii - Saturn also, by their attractive powers, have a considerable influence upon its motion, as in the same manner the corresponding attractive power of the earth hath a considerable influence upon every one of their motions also.
Página xxviii - The third supposition is that these attractive powers are so much the more powerful in operating, by how much the nearer the body wrought upon is to their own centers. Now what these several degrees are I have not yet experimentally verified...