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

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Ergebnisse 1-5 von 5

Seite 22

angles of one equal to two angles of the other , on the same side of it , there

cannot be two trian - each to each ; and one side equal to one side , viz . gles that

have ...

**Theor**. If two triangles have two Prop . VII ,**Theor**. Upon the same base , andangles of one equal to two angles of the other , on the same side of it , there

cannot be two trian - each to each ; and one side equal to one side , viz . gles that

have ...

Seite 22

the circumference of a circle , the straight line small an angle with the straight line

wbieh is at which joins them sball fall within the circle . right angles to it , as not ...

**Theor**. If any two points be taken in angle with the diameter at its extremity , of sothe circumference of a circle , the straight line small an angle with the straight line

wbieh is at which joins them sball fall within the circle . right angles to it , as not ...

Seite 22

rallo the same ratio , are the same to one another . which the sixth has to the

fourth ; the first and Prop . XII .

shall ...

**Theor**. Ratios that are tbe same to fourth ; and the fifth to the second , the samerallo the same ratio , are the same to one another . which the sixth has to the

fourth ; the first and Prop . XII .

**Theor**. If any number of magnitules fifth togethershall ...

Seite 22

be each of them parallel to the same straight line , cut by a plane parallel to two of

its opposite planes ; and not in the same plane with it , are parallel to it divides ...

**Theor**. Two straight lines which are Prop . XXV .**Theor**. If a solid parallelopipedbe each of them parallel to the same straight line , cut by a plane parallel to two of

its opposite planes ; and not in the same plane with it , are parallel to it divides ...

Seite 22

dicular to another plane , and a straight line be axis of the other . drawu from a

point in one of the planes perpen - Prop . XIV .

...

**Theor**. If a plane he perpen . which is to the other as the axis of the first to thedicular to another plane , and a straight line be axis of the other . drawu from a

point in one of the planes perpen - Prop . XIV .

**Theor**. Cones and cylinders upon...

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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.