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

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Results 1-5 of 5

Page

If two triangles have two

one equal to two angles of the other , each on the same side of it , there cannot

be two trian- to each ; and one side equal to one side , viz . either gles that have ...

If two triangles have two

**Prop**. VII . Theor . Upon the same base , and angles ofone equal to two angles of the other , each on the same side of it , there cannot

be two trian- to each ; and one side equal to one side , viz . either gles that have ...

Page

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

the straight line which is at which joins them shall fall within the circle . right

angles to ...

**Prop**. II . Theor . If any two points be taken in angle with the diameter at itsextremity , or so the circumference of a circle , the straight line small an angle with

the straight line which is at which joins them shall fall within the circle . right

angles to ...

Page

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

to the fourth ; the first and

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

to the fourth ; the first and

**Prop**. XII . Thevr . If any number of magnitudes fifth ... Page

XIX . Tbeor . Similar triangles are to one triangle into two equal angles . another

in the duplicate ratio of their hoinologous

equal sides . angles of equiangular triangles are proportionals ;

.

XIX . Tbeor . Similar triangles are to one triangle into two equal angles . another

in the duplicate ratio of their hoinologous

**Prop**. IV . Theor . The sides about theequal sides . angles of equiangular triangles are proportionals ;

**Prop**. XX . Theor.

Page

parallelepiped 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 ...

**Prop**. IX . Theor . Two straight lines which are**Prop**. XXV . Theor . If a solidparallelepiped 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 ...

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### Popular passages

Page 6 - How many things are there which a man cannot, with any face or comeliness, say or do himself! A man can scarce allege his own merits with modesty, much less extol them ; a man cannot sometimes brook to supplicate or beg; and a number of the like. But all these things are graceful in a friend's mouth, which are blushing in a man's own.

Page 6 - Men have their time, and die many times in desire of some things which they principally take to heart; the bestowing of a child, the finishing of a work, or the like. If a man have a true friend, he may rest almost secure that the care of those things will continue after him.