## 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 |

### Inni boken

Resultat 1-5 av 5

Side 60

Produce GH indefinitely , as also GE , until it meets BF in F. Pof . 2 . 9.

points F & A , draw the straight line FA , which Pof . 1 , when produced will meet

GH ...

**Thro**' the point B , draw a straight line BF plle to EA or GH . P. 31. B. 1 . 6.Produce GH indefinitely , as also GE , until it meets BF in F. Pof . 2 . 9.

**Thro**' thepoints F & A , draw the straight line FA , which Pof . 1 , when produced will meet

GH ...

Side 104

F a point ( D ) be taken without a circle ( BGCA ) , & straight lines ( DA , DĖ , DF ,

DC , ) be drawn from it to the circumference , whereof one ( DA ) passes

center ( M ) ; of those which fall upon the concave circumference , the greatest is

...

F a point ( D ) be taken without a circle ( BGCA ) , & straight lines ( DA , DĖ , DF ,

DC , ) be drawn from it to the circumference , whereof one ( DA ) passes

**thro**' thecenter ( M ) ; of those which fall upon the concave circumference , the greatest is

...

Side 105

The straight line DA , which passes

drawn from the point D to the concave part of the O BGCA . Which was to be

demonstrated I. Moreover , DM being common to the two ADME , DMF , ME MF (

D.

The straight line DA , which passes

**thro**' the center M , is > any other straight linedrawn from the point D to the concave part of the O BGCA . Which was to be

demonstrated I. Moreover , DM being common to the two ADME , DMF , ME MF (

D.

Side 135

4 G Fig.3 А , E C С E H E F D D B B H Because CASE III . If one of the chords AB ,

passes

obliquely ( Fig . 3. ) . Preparation . 1. From the center C , let fall upon DE , the I ...

4 G Fig.3 А , E C С E H E F D D B B H Because CASE III . If one of the chords AB ,

passes

**thro**' the center & cuts the other DE which does not pass**thro**' the center ,obliquely ( Fig . 3. ) . Preparation . 1. From the center C , let fall upon DE , the I ...

Side 267

Joseph Fenn. A с z E B D F X IF PROPOSITION XVIII . THEOREM XVI . F a

straight line ( A B ) is perpendicular to a plane ( Z X ) : every plane ( as Q E )

which passes

Hypothesis .

Joseph Fenn. A с z E B D F X IF PROPOSITION XVIII . THEOREM XVI . F a

straight line ( A B ) is perpendicular to a plane ( Z X ) : every plane ( as Q E )

which passes

**thro**' this line ( A B ) shall be perpendicular to this plane ( Z X ) .Hypothesis .

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

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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...