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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Side xxv
... fquare exactly with the Ap - Efforts that pearances of Sence , yet on Examination it is found entirely infufficient to have been explain the Phenomena , and to account for the Heavenly Motions : This made to constrained Ptolemy and his ...
... fquare exactly with the Ap - Efforts that pearances of Sence , yet on Examination it is found entirely infufficient to have been explain the Phenomena , and to account for the Heavenly Motions : This made to constrained Ptolemy and his ...
Side xxix
... fquare with the Distances of the Planets , he fancied that the celestial Moti- ons are performed in Proportions correfponding with thofe , according to which a Cord is divided in order to produce the Tones which compofe the Octave in ...
... fquare with the Distances of the Planets , he fancied that the celestial Moti- ons are performed in Proportions correfponding with thofe , according to which a Cord is divided in order to produce the Tones which compofe the Octave in ...
Side xlvii
... fquare dies revolving in Circles be in the fefquiplicate Ratio of their Rays , the cen- of their dif tripetal Force which urges them to the Center of those Circles , is in the tances from inverse Ratio of the Squares of those fame Rays ...
... fquare dies revolving in Circles be in the fefquiplicate Ratio of their Rays , the cen- of their dif tripetal Force which urges them to the Center of those Circles , is in the tances from inverse Ratio of the Squares of those fame Rays ...
Side xlviii
... fquare of the dif tance . proportion IX . Newton , not content with examining the Law that makes the Planets de- scribe Ellipfes ; he enquired further weather in confequence of this Law : The centri Bodies might not defcribe other ...
... fquare of the dif tance . proportion IX . Newton , not content with examining the Law that makes the Planets de- scribe Ellipfes ; he enquired further weather in confequence of this Law : The centri Bodies might not defcribe other ...
Side l
... fquare acts that makes the Moon revolve in her Orbit round the Earth , as in this of the dif- Cafe we have no Term of Comparison . tances . How New- attractive lows the tion . Newton has found the Means of fupplying this Defect ; his ...
... fquare acts that makes the Moon revolve in her Orbit round the Earth , as in this of the dif- Cafe we have no Term of Comparison . tances . How New- attractive lows the tion . Newton has found the Means of fupplying this Defect ; his ...
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Instructions Given in the Drawing School Established by the Dublin Society ... Joseph Fenn Uten tilgangsbegrensning - 1769 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
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 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 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...
Side 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...
Side 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.
Side 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.
Side 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.
Side 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...