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

### Inni boken

Resultat 1-5 av 9

Side 1

two sides of the other , 21 . Trilateral figures , or triangles , by three each to each ;

and have likewise the angles constraight lines . tained by those sides equal to ...

**Theor**. If two triangles have two tained by straight lines . sides of the one equal totwo sides of the other , 21 . Trilateral figures , or triangles , by three each to each ;

and have likewise the angles constraight lines . tained by those sides equal to ...

Side 2

angles of 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 ...

**Theor**. If two triangles have two Prop . VII . Tbeor . Upon the same base , andangles of 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 ...

Side 4

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 it , as not ...

**Theor**. If any two points be taken in angle with the diameter at its extremity , or sothe 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 it , as not ...

Side 5

XXXVII .

be drawn to straight lines , one of 3 . Ratio is a mutual relation of two magniwhich

cuts the circle , and the other meets it ; iftudes of the same kind to one another ...

XXXVII .

**Theor**. If from a point without tain number of times exactly . a circle therebe drawn to straight lines , one of 3 . Ratio is a mutual relation of two magniwhich

cuts the circle , and the other meets it ; iftudes of the same kind to one another ...

Side 6

I .

terms are equin ultiples of as many , each of each ; what called homologous to

one another , as also the multiple soever any one of them is of its part , tho ...

I .

**Theor**. If any number of inagnitudes bre 12 . In proportionals , the antecedentterms are equin ultiples of as many , each of each ; what called homologous to

one another , as also the multiple soever any one of them is of its part , tho ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 11 John Mason Good Uten tilgangsbegrensning - 1819 |

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 6 John Mason Good Uten tilgangsbegrensning - 1813 |

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 1 John Mason Good Uten tilgangsbegrensning - 1813 |

### Vanlige uttrykk og setninger

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

### Populære avsnitt

Side 1 - 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.

Side 1 - 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.

Side 3 - If the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...

Side 6 - Similar triangles are to one another in the duplicate ratio of their homologous sides.

Side 1 - ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced.

Side 3 - 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.

Side 1 - If a straight line be divided into any two parts, four times the rectangle contained ~by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that part.

Side 3 - A greater magnitude is said to be a multiple of a less, when the greater is measured by the less ; that is, ' when the greater contains the less a certain number of times exactly.' 3. ' Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity.