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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Σελίδα xxxvi
... diameters fuppofed to be divided into 100,000 Parts , nets in femi of the earth That of Saturn , excentricity That of ... Diameter of the Sun being taken for a common Measure , and supposed to be divided into 1000 Parts : That of Saturn ...
... diameters fuppofed to be divided into 100,000 Parts , nets in femi of the earth That of Saturn , excentricity That of ... Diameter of the Sun being taken for a common Measure , and supposed to be divided into 1000 Parts : That of Saturn ...
Σελίδα xxxix
... Diameters is much greater than that of the Earth , because this Planet is a great deal bigger , and revolves with ... Diameter , in general , is a Line which paffes through the Center . and is termi- aated at the Circumference , In ...
... Diameters is much greater than that of the Earth , because this Planet is a great deal bigger , and revolves with ... Diameter , in general , is a Line which paffes through the Center . and is termi- aated at the Circumference , In ...
Σελίδα xli
... diameters , the fecond of 9 , the third of 14 , and the fourth of 25 , neglect- from this of Jupiter ing Fractions ... Diameter of Saturn's Ring for a common Measure , Distances of the Satellites of Saturn commencing with the innermoft ...
... diameters , the fecond of 9 , the third of 14 , and the fourth of 25 , neglect- from this of Jupiter ing Fractions ... Diameter of Saturn's Ring for a common Measure , Distances of the Satellites of Saturn commencing with the innermoft ...
Σελίδα xlii
... Diameter of this the body of Ring is to the Diameter of Saturn as 9 to 4 , according to Hugbens , that is this planet . more than the Double of the Diameter of Saturn ; the Distance of the Body from the bo- of Saturn from his Ring , is ...
... Diameter of this the body of Ring is to the Diameter of Saturn as 9 to 4 , according to Hugbens , that is this planet . more than the Double of the Diameter of Saturn ; the Distance of the Body from the bo- of Saturn from his Ring , is ...
Σελίδα xliii
... Diameter was former- ly equal to the Sum of its actual Diameter , and the Breadth of the Ring . Another Conje & ture has alfo been propofed , that the Ring of Saturn is on- The fatel- ly an Affemblage of Moons , which from the immense ...
... Diameter was former- ly equal to the Sum of its actual Diameter , and the Breadth of the Ring . Another Conje & ture has alfo been propofed , that the Ring of Saturn is on- The fatel- ly an Affemblage of Moons , which from the immense ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...