## 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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Side xxxix

XVI . the effects This Motion of the Celestial Bodies about their Centers alters

their Fi - of the rogures , for it is known that Bodies revolving in

Force matery which is so much the greater , the Time of their Revolution being

the ...

XVI . the effects This Motion of the Celestial Bodies about their Centers alters

their Fi - of the rogures , for it is known that Bodies revolving in

**Circles**, acquire aForce matery which is so much the greater , the Time of their Revolution being

the ...

Side 92

ΤΗ H E distance of a straight line ( FB ) from the center of a

perpendicular ( CM ) let fall from the center of the

line ( FB ) ; for which reason two straight lines ( FB , DÈ , ) are said to be equally

diftant from ...

ΤΗ H E distance of a straight line ( FB ) from the center of a

**circle**, is theperpendicular ( CM ) let fall from the center of the

**circle**( C ) upon this straightline ( FB ) ; for which reason two straight lines ( FB , DÈ , ) are said to be equally

diftant from ...

Side 113

H E straight line ( AB ) perpendicular to the diameter of a

extremity of it ( A ) , falls without the

between this perpendicular ( AB ) & the circumference from the extremity , so as

not to cut ...

H E straight line ( AB ) perpendicular to the diameter of a

**circle**( AHD ) at theextremity of it ( A ) , falls without the

**circle**; & no straight line can be drawnbetween this perpendicular ( AB ) & the circumference from the extremity , so as

not to cut ...

Side 137

from any point ( E ) without a

lines ( AE , EG , & c ) culting it in ( B & F , & c ) : the retlangles contained by the

whole secants ( AE , GE ) , and the parts of them ( EB , EF ) without the

...

from any point ( E ) without a

**circle**( ADBF ) , there be drawn several Firaighilines ( AE , EG , & c ) culting it in ( B & F , & c ) : the retlangles contained by the

whole secants ( AE , GE ) , and the parts of them ( EB , EF ) without the

**circle**, are...

Side 140

F С G Fig.2 D B Fig.3 B D A A A B E H A E D DEFINITION S. V. A

is said to be inscribed in a refilineal figure ( EFGH , when the circumference of the

F С G Fig.2 D B Fig.3 B D A A A B E H A E D DEFINITION S. V. A

**Circle**( ABCD )is said to be inscribed in a refilineal figure ( EFGH , when the circumference of the

**circle**touches each of the sides ( EF , FG , GH , HE ) of the figure in which it is ...### Hva folk mener - Skriv en omtale

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Instructions Given in the Drawing School Established by the Dublin Society ... Joseph Fenn Uten tilgangsbegrensning - 1769 |

### Vanlige uttrykk og setninger

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### 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...