## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N. Bosworth assisted by other gentlemen of eminence, Band 5 |

### Im Buch

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if M has to N the same

multiple is greato then , for sboriness sake , M is said to have to N , er than the

same inultiple of another , is greater the

G ...

if M has to N the same

**ratio**which A has to D ; . 4 . That magnitude of which amultiple is greato then , for sboriness sake , M is said to have to N , er than the

same inultiple of another , is greater the

**ratio**compounded of the**ratios**of E to F ,G ...

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same

first and Prop . XII . Theor . If any number of magnitules fifth together shall bave to

...

**Ratios**that are tbe same to fourth ; and the fifth to the second , the same rallo thesame

**ratio**, are the same to one another . which the sixth has to the fourth ; thefirst and Prop . XII . Theor . If any number of magnitules fifth together shall bave to

...

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equal sides . divided into two equal angles , by a straight line one angle in the

one equal to one angle in the which also cuts the base ; the segments of the base

other , and their sides about the equal angles shall have the same

...

equal sides . divided into two equal angles , by a straight line one angle in the

one equal to one angle in the which also cuts the base ; the segments of the base

other , and their sides about the equal angles shall have the same

**ratio**which the...

Seite 54

if M has to N the same

multiple is greato then , for shortness sake , M is said to have to N , er than the

same multiple of another , is greater the

G than ...

if M has to N the same

**ratio**which A has to D ; 4. That magnitude of which amultiple is greato then , for shortness sake , M is said to have to N , er than the

same multiple of another , is greater the

**ratio**compounded of the**ratios**of E to F ,G than ...

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15709

reciprocal

DIFFERENT BO . And hence again the specific gravities are as the derisities .

15709

**ratio**, compounded of the direct**ratio**of their A TABLE weights andreciprocal

**ratio**of their magnitudes . OF THE SPECIFIC GRAVITIES OFDIFFERENT BO . And hence again the specific gravities are as the derisities .

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### Häufige Begriffe und Wortgruppen

according acid ancient angles animal appears applied ball barrel becomes body botany called cause circle colour common considerable consists contained continued covered died divided Dryden earth effect employed English equal experiments express feet figure fire force four French gass give given glass gold grains greater ground half heat horses inches iron Italy kind language Latin leaves length less letters lower manner means mercury metal method mixed motion nature observed pass person piece plants principal probability produced Prop proportion quantity ratio received remains respect says separated Shakspeare side sometimes species straight line strong substances supposed surface taken term Theor thing third tion town trees various weight whole

### Beliebte Passagen

Seite 108 - And, father Cardinal, I have heard you say That we shall see and know our friends in heaven; If that be true, I shall see my boy again; For since the birth of Cain, the first male child, To him that did but yesterday suspire, There was not such a gracious creature born. But now will...

Seite 30 - Similar triangles are to one another in the duplicate ratio of their homologous sides.

Seite 30 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Seite 80 - Two of far nobler shape, erect and tall, Godlike erect, with native honour clad, In naked majesty seem'd lords of all : And worthy seem'd ; for in their looks divine The image of their glorious Maker shone, Truth, wisdom, sanctitude severe and pure (Severe, but in true filial freedom placed), Whence true authority in men...

Seite 108 - I shall do so ; But I must also feel it as a man : I cannot but remember such things were, That were most precious to me.

Seite 64 - Next, it is evident, that what had its being and beginning from another, must also have all that which is in, and belongs to its being, from another too. All the powers it has must be owing to, and received from, the same source. This eternal source then of all being must also be the source and original of all power; and so this eternal being must be also the most powerful.

Seite 28 - PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle.

Seite 65 - Since therefore whatsoever is the first eternal being must necessarily be cogitative; and whatsoever is first of all things must necessarily contain in it, and actually have, at least, all the perfections that can ever after exist; nor can it ever give to another any perfection that it hath not, either actually in itself, or at least in a higher degree; it necessarily follows, that the first eternal being cannot be matter.

Seite 64 - Thus from the consideration of ourselves, and what we infallibly find in our own constitutions, our reason leads us to the knowledge of this certain and evident truth, that there is an eternal, most powerful, and most knowing being ; which whether any one will please to call God, it matters not.