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 ix
... Circle : This Theory produces important and curious Remarks upon the pofitive and negative Roots , upon the Pofition of the Lines which exprefs them , upon the different Solutions that a Pro- blem is fufceptible of ; from thence they ...
... Circle : This Theory produces important and curious Remarks upon the pofitive and negative Roots , upon the Pofition of the Lines which exprefs them , upon the different Solutions that a Pro- blem is fufceptible of ; from thence they ...
Side xxv
... Circles and Epicycles equally arduous to be con- to be at rest . ceived and employed , for nothing fo difficult as to fubftitute Error in the Syftem of room of Truth . Probably the Influence of Ariftotle's Authority , whofe Writings in ...
... Circles and Epicycles equally arduous to be con- to be at rest . ceived and employed , for nothing fo difficult as to fubftitute Error in the Syftem of room of Truth . Probably the Influence of Ariftotle's Authority , whofe Writings in ...
Side xxxix
... Circles , acquire a Force motion of tatory which is fo much the greater , the Time of their Revolution being the the planete fame as the Circle which they defcribe is greater . This Force is called confift in Centrifugal Force ; that is ...
... Circles , acquire a Force motion of tatory which is fo much the greater , the Time of their Revolution being the the planete fame as the Circle which they defcribe is greater . This Force is called confift in Centrifugal Force ; that is ...
Side xlv
... Circle it defcribes . Its denfity . What bodies weigh on its furface . How the ancient phi- lofophers To explain this Phenomenon , the Ancients invented their folid Orbs and Defeartes Vortices , but both one and the other of those ...
... Circle it defcribes . Its denfity . What bodies weigh on its furface . How the ancient phi- lofophers To explain this Phenomenon , the Ancients invented their folid Orbs and Defeartes Vortices , but both one and the other of those ...
Side xlvii
... Circles are to one another as the Squares to the Sun of the Arcs of thofe Circles defcribed in equal Times , divided by their to be in the Rays , from whence he deduces ( cor . 6. ) that if the periodic Times of Bo- of the fquare dies ...
... Circles are to one another as the Squares to the Sun of the Arcs of thofe Circles defcribed in equal Times , divided by their to be in the Rays , from whence he deduces ( cor . 6. ) that if the periodic Times of Bo- of the fquare dies ...
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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...