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 vii
... Nature and Forma- fpecious is tion of Numbers are clearly stated , from whence the Manner of per- forming the principal Operations , as Addition , Subtraction , Multipli- cation and Divifion are deduced . The Explication of the Signs ...
... Nature and Forma- fpecious is tion of Numbers are clearly stated , from whence the Manner of per- forming the principal Operations , as Addition , Subtraction , Multipli- cation and Divifion are deduced . The Explication of the Signs ...
Page viii
... Nature and Number of their Roots , the different Reductions and Transformations that are in Ufe , the Manner of folving them , and the Rules imagined for this Purpose , fuch as Tranfpofition , Multiplication , Division , Substitution ...
... Nature and Number of their Roots , the different Reductions and Transformations that are in Ufe , the Manner of folving them , and the Rules imagined for this Purpose , fuch as Tranfpofition , Multiplication , Division , Substitution ...
Page x
... natural Divifion therefore of the inverse Method of Fluxions is into the Its Divifion . Method of finding the Fluents of fluxionary Quantities , containing one variable Quantity , or involving two or more variable Quantities ; the Rule ...
... natural Divifion therefore of the inverse Method of Fluxions is into the Its Divifion . Method of finding the Fluents of fluxionary Quantities , containing one variable Quantity , or involving two or more variable Quantities ; the Rule ...
Page xii
... Nature . It is , befides , a Prefervative against the Disorders of the Paffions ; a kind of Study therefore which elevates the Mind , which applies it clofely , confequently , which furnishes the most affured , arms against against the ...
... Nature . It is , befides , a Prefervative against the Disorders of the Paffions ; a kind of Study therefore which elevates the Mind , which applies it clofely , confequently , which furnishes the most affured , arms against against the ...
Page xiv
... Nature and Nature's Laws lay hid in Night ; God faid , Let Newton be , and all was Light . The great Geniufes of every Species have been furprized at the In- difference which Men fhew for the Spectacle of Nature . Talo puts Tasso ...
... Nature and Nature's Laws lay hid in Night ; God faid , Let Newton be , and all was Light . The great Geniufes of every Species have been furprized at the In- difference which Men fhew for the Spectacle of Nature . Talo puts Tasso ...
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Common terms and phrases
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
Popular passages
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 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Page 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...
Page 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...
Page 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.
Page 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.
Page 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.
Page 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...