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

### Im Buch

Ergebnisse 1-5 von 5

Seite 22

line . equal to one another , the sides also which subtend , be

angle contained by the sides ur are opposite to , the equal angles , shall be equal

equal to them of the other . to one another . • Prop . XXVI . Theor . If two triangles

...

line . equal to one another , the sides also which subtend , be

**greater**than theangle contained by the sides ur are opposite to , the equal angles , shall be equal

equal to them of the other . to one another . • Prop . XXVI . Theor . If two triangles

...

Seite 22

A

the line which of a less , when the

that is , when the

...

A

**greater**inognitude is said to be a multiple cle , shall be equalto the square ofthe line which of a less , when the

**greater**is measured by the less , touches it .that is , when the

**greater**contains the less a cer . Prop . XXXVII . Theor . If from a...

Seite 22

That magnitude of which a multiple is greato then , for sboriness sake , M is said

to have to N , er than the same inultiple of another , is

compounded of the ratios of E to F , G than that other magnitude . to H , and K to L

. Prop .

That magnitude of which a multiple is greato then , for sboriness sake , M is said

to have to N , er than the same inultiple of another , is

**greater**the ratiocompounded of the ratios of E to F , G than that other magnitude . to H , and K to L

. Prop .

Seite 22

If the first has to the second same kind are proportionals , the greatest and least

the same ratio which the third has to the fourth of them together are

the other tuo but the third to the fourth a

...

If the first has to the second same kind are proportionals , the greatest and least

the same ratio which the third has to the fourth of them together are

**greater**thanthe other tuo but the third to the fourth a

**greater**ritio than the together . fifth has to...

Seite

Fourth , 6th

lesser , 6th lesser Oct . nication between the soul and the body . A Fourth lesser ,

6th ...

Fourth , 6th

**greater**. . Oct . system of M . Leibnitz , by means whereof he Third**greater**, 6th**greater**- Oct . attempts to account for the union or commuThirdlesser , 6th lesser Oct . nication between the soul and the body . A Fourth lesser ,

6th ...

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### Häufige Begriffe und Wortgruppen

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### Beliebte Passagen

Seite 22 - Similar triangles are to one another in the duplicate ratio of their homologous sides.

Seite 22 - 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 22 - 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 20 - A man hath a body, and that body is confined to a place; but where friendship is, all offices of life are, as it were, granted to him and his deputy; for he may exercise them by his friend.

Seite 22 - 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 22 - PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle.

Seite 22 - 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 22 - 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.