## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

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Resultat 1-5 av 55

Side 3

Division , or the

one of the two quantities over the other , in the form of a fraction : A thus , В

signifies the

, this is ...

Division , or the

**ratio**of one quantity to another , is usually denoted by placingone of the two quantities over the other , in the form of a fraction : A thus , В

signifies the

**ratio**or quotient arising from the division of the quantity A by B. In fact, this is ...

Side 100

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.

same kind , to ...

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 thesame kind , to ...

Side 101

Magnitudes are said to be of the same kind , when the less can be multiplied so

as to exceed the greater ; and it is only such magnitudes that are said to have a

Magnitudes are said to be of the same kind , when the less can be multiplied so

as to exceed the greater ; and it is only such magnitudes that are said to have a

**ratio**to one another . 5. If there be four magnitudes , and if any equimultiples ... Side 102

In like manner , the same things being supposed , if M has to N the same

which A has to D , then , for shortness ' sake , M is said to have to N a

compounded of the same

In like manner , the same things being supposed , if M has to N the same

**ratio**which A has to D , then , for shortness ' sake , M is said to have to N a

**ratio**compounded of the same

**ratios**which compound the**ratio**of A to D ; that is , a**ratio**... Side 105

If the first of four magnitudes has the same

to the fourth , and if any equimultiples whatever be taken of the first and third ,

and any whatever of the second and fourth ; the multiple of the first · shall have

the ...

If the first of four magnitudes has the same

**ratio**to the second which the third hasto the fourth , and if any equimultiples whatever be taken of the first and third ,

and any whatever of the second and fourth ; the multiple of the first · shall have

the ...

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole