## 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 Euclid |

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alſo angles ATION baſe becauſe Bodies Caſe Cauſe Comet compoſed cone Conſequently conſidered correſponding cylinder demonſtrated Denſity deſcribed Diameter diſcovered Diſtance draw the ſtraight Earth Ecliptic equal Equator equiangular Eſq fides firſt Force Glaſs greateſt Hypotheſis I O N impoſſible inſcribed Jupiter leaſt leſs Likewiſe magnitude Meaſure Moon moſt Motion neceſſary Newton Nodes Obſervations oppoſite Orbit P R O POSITION parallelepiped paſs Perihelion plle Poſ Prep priſm proportional pyramid Reaſon Reſ reſpect reſult Revolution Rgle ſaid ſame manner ſame multiple ſame plane Saturn ſecond ſegment ſerve ſeveral ſhall ſhewing ſhould ſides ſimilar ſince ſmall ſolid ſome ſphere ſquare ſtraight line ſtraight line AB ſuch ſuppoſed Syſtem T H E O R E M theſe Theſis thoſe triangle true Anomaly Uſe Wherefore whoſe

### Popular passages

Page clxxvi - 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 clxxvi - 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...