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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Seite xii
... discovered captivate the Mind , and occupy it in a noble Manner ; they elevate the Imagination , improve the Understand- ing , and fatiate the Heart : The greatest Philofophers of Antiquity have been of this Opinion . Pythagoras was ...
... discovered captivate the Mind , and occupy it in a noble Manner ; they elevate the Imagination , improve the Understand- ing , and fatiate the Heart : The greatest Philofophers of Antiquity have been of this Opinion . Pythagoras was ...
Seite xvi
... Discovery of the Satellites of Jupiter , has contri- confequent buted more effectually to improve geographical or marine Charts , than ly of the ten thousand Years Navigation ; and when their Theory will be better known , the Method of ...
... Discovery of the Satellites of Jupiter , has contri- confequent buted more effectually to improve geographical or marine Charts , than ly of the ten thousand Years Navigation ; and when their Theory will be better known , the Method of ...
Seite xxi
... discovered that to obtain this Point it was fufficient to determine , every Day during 18 Years , the Place of the Moon by Obfervation , and to know how much the Tables differed from it , the Errors every Period afterwards being the ...
... discovered that to obtain this Point it was fufficient to determine , every Day during 18 Years , the Place of the Moon by Obfervation , and to know how much the Tables differed from it , the Errors every Period afterwards being the ...
Seite xxv
... discovered the Earth to be round , and the Sun to be the Cen- lonians , and ter of the Universe ( a ) in these Points they were followed by Pythagoras and of Pythage his School . III . ras . The true Syftem of the World being difcovered ...
... discovered the Earth to be round , and the Sun to be the Cen- lonians , and ter of the Universe ( a ) in these Points they were followed by Pythagoras and of Pythage his School . III . ras . The true Syftem of the World being difcovered ...
Seite xxvi
... discovered the Refraction of the Atmosphere , by Tycho . by which the Celestial Phenomena are fo much influenced ; he was the firit who proved from the Parallax of the Comets , that they afcend above the Moon ; he was the first who ...
... discovered the Refraction of the Atmosphere , by Tycho . by which the Celestial Phenomena are fo much influenced ; he was the firit who proved from the Parallax of the Comets , that they afcend above the Moon ; he was the first who ...
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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
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Seite 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.
Seite 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.
Seite 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.
Seite 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 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...
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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...