## 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 37

Side 3

The Roots of quantities are expressed by means of the radical sign V , with the

proper index annexed ; thus , the square root of 5 is indicated V5 ; V ( A XB )

means the square of the product of A and B , or the mean

them .

The Roots of quantities are expressed by means of the radical sign V , with the

proper index annexed ; thus , the square root of 5 is indicated V5 ; V ( A XB )

means the square of the product of A and B , or the mean

**proportional**betweenthem .

Side 4

The word , therefore , or hence , frequently occurs . To express either of these

words , the sign .. is generally used . 30. If the quotients of two pairs of numbers ,

or quantities , are equal , the A С quantities are said to be

Õ ...

The word , therefore , or hence , frequently occurs . To express either of these

words , the sign .. is generally used . 30. If the quotients of two pairs of numbers ,

or quantities , are equal , the A С quantities are said to be

**proportional**: thus , if BÕ ...

Side 101

... and so on , the magnitudes are said to be continual proportionals . 9. When

three magnitudes are continual proportionals , the second is said to be a mean

magnitudes of ...

... and so on , the magnitudes are said to be continual proportionals . 9. When

three magnitudes are continual proportionals , the second is said to be a mean

**proportional**between the other two . 10. When there is any number ofmagnitudes of ...

Side 115

Two sides of one figure are said to be reciprocally

another , when one of the sides of the first is to one of the sides of the second , as

the remaining side of the second is to the remaining side of the first . 3. A straight

...

Two sides of one figure are said to be reciprocally

**proportional**to two sides ofanother , when one of the sides of the first is to one of the sides of the second , as

the remaining side of the second is to the remaining side of the first . 3. A straight

...

Side 123

From this it is manifest , that the perpendicular , drawn from the right angle of a

right angled triangle , to the base , is a mean

of the base ; and also that each of the sides is a mean

From this it is manifest , that the perpendicular , drawn from the right angle of a

right angled triangle , to the base , is a mean

**proportional**between the segmentsof the base ; and also that each of the sides is a mean

**proportional**between the ...### Hva folk mener - Skriv en omtale

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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