## 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 |

### Inni boken

Side

The alterations made are chiefly in the First and

those Books is similar to that of LEGENDRE , in his Elements of Geometry and

Trigonometry . As the properties of the sections of straight lines are easily derived

...

The alterations made are chiefly in the First and

**Third**Books ; the arrangement ofthose Books is similar to that of LEGENDRE , in his Elements of Geometry and

Trigonometry . As the properties of the sections of straight lines are easily derived

...

Side vii

In the

the circumference of a circle, are left out, as tending to perplex one who has

advanced no farther than the elements of the science. Some propositions also

have ...

In the

**third**Book, the remarks concerning the angles made by a straight line, andthe circumference of a circle, are left out, as tending to perplex one who has

advanced no farther than the elements of the science. Some propositions also

have ...

Side

In the

and the circumference of a circle , are left out , as tending to perplex one who has

advanced no farther than the elements of the science . Some propositions also ...

In the

**third**Book , the remarks concerning the angles made by a straight line ,and the circumference of a circle , are left out , as tending to perplex one who has

advanced no farther than the elements of the science . Some propositions also ...

Side 1

... a

proposition ; in which some property in asserted , and the truth of it required to be

proved . Thus , when it is said that the sum of the three angles of any plane

triangle ...

... a

**third**quantity , are equal to each other . , 5. A Theorem is a demonstrativeproposition ; in which some property in asserted , and the truth of it required to be

proved . Thus , when it is said that the sum of the three angles of any plane

triangle ...

Side 3

refers back to the number of the proposition and the Book in which it has been

announced or demonstrated . The expression ( 15. 1. ) denotes the fifteenth

proposition , first book , and so on . In like manner , ( 3. Ax . ) designates the

axiom ...

refers back to the number of the proposition and the Book in which it has been

announced or demonstrated . The expression ( 15. 1. ) denotes the fifteenth

proposition , first book , and so on . In like manner , ( 3. Ax . ) designates the

**third**axiom ...

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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |

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

### 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 spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole