## 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 9

IF equals be

AC , be

the part EF , equal to BC ; the remainders AB , DE , will be equal . Fig . 3 . IV .

IF equals be

**taken**from equals , the remainders are equal . , If from the whole lineAC , be

**taken**the part BC , and from the whole line DF , equal to AC , be**taken**the part EF , equal to BC ; the remainders AB , DE , will be equal . Fig . 3 . IV .

Side 84

Consequently , the D of AE & the of EG

& of the of CD . Ax . 2. B. 1 . And because the o of AE & the of EG

are = to the of AG ( P. 47. B. 1. & Arg . 5. ) . 12. The o of AG is also double of the ...

Consequently , the D of AE & the of EG

**taken**together , are double of the O of AC& of the of CD . Ax . 2. B. 1 . And because the o of AE & the of EG

**taken**together ,are = to the of AG ( P. 47. B. 1. & Arg . 5. ) . 12. The o of AG is also double of the ...

Side 162

The lines A & B have a ratio to one another , because the line B , for example ,

it . Tbe Rgles M & Ń bave alfa aratio to one another , because the Rgle N

The lines A & B have a ratio to one another , because the line B , for example ,

**taken**three times ond a ball , is equal to tbe line A , and**taken**four times exceedsit . Tbe Rgles M & Ń bave alfa aratio to one another , because the Rgle N

**taken**... Side 174

AM AN M V = P N P PROPOSITION V. THEOREM V. If a magnitude fa M ) be the

fame multiple of another ( M ) , which a mese nitude ( a N )

of a magnitude ( N )

...

AM AN M V = P N P PROPOSITION V. THEOREM V. If a magnitude fa M ) be the

fame multiple of another ( M ) , which a mese nitude ( a N )

**taken**from the first , isof a magnitude ( N )

**taken**from the other , the remainder ( aP ) shall be the same...

Side 323

Therefore , if from the whole cylinder be

from three times the cone B Å C + 2 , the magnitude Z. 8. The remaining prism (

viz . that which has for base the polygon A a B 6 DICT ) will be > the triple of the

cone ...

Therefore , if from the whole cylinder be

**taken**those elements ( Arg . 7. ) . Andfrom three times the cone B Å C + 2 , the magnitude Z. 8. The remaining prism (

viz . that which has for base the polygon A a B 6 DICT ) will be > the triple of the

cone ...

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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...