## 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

Resultat 1-5 av 45

Side 1

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

equal to two right angles , this is

the several arguments and proofs , and laying them together in proper order , by

...

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

equal to two right angles , this is

**called**a Theorem ; and the method of collectingthe several arguments and proofs , and laying them together in proper order , by

...

Side 2

This is sometimes

and falsehood of all suppositions contrary to that contained in the proposition . 8.

A Problem is a proposition or a question proposed , which requires a solution .

This is sometimes

**called**Reductio ad Absurdum ; because it shows the absurdityand falsehood of all suppositions contrary to that contained in the proposition . 8.

A Problem is a proposition or a question proposed , which requires a solution .

Side 3

The sign of Addition is an erect cross ; thus A + B implies the sum of A and B , and

is

read A minus B ; A - B represents their difference , or the part of A remaining ...

The sign of Addition is an erect cross ; thus A + B implies the sum of A and B , and

is

**called**A plus B. 21. Subtraction is denoted by a single line ; as A - B , which isread A minus B ; A - B represents their difference , or the part of A remaining ...

Side 4

The extremities of a line are points ; and the intersections “ of one line with

another are also points . ” 3. “ If two lines are such that they cannot coincide in

any two points , with“ out coinciding altogether , each of them is

line .

The extremities of a line are points ; and the intersections “ of one line with

another are also points . ” 3. “ If two lines are such that they cannot coincide in

any two points , with“ out coinciding altogether , each of them is

**called**a straightline .

Side 5

BD , is named the angle ABD , or DBA ; and that which is contained by ' BD , CB ,

is

may be expressed by a letter placed at that point ; as the angle at E. 6 6 7. When

a ...

BD , is named the angle ABD , or DBA ; and that which is contained by ' BD , CB ,

is

**called**the angle DBC , or CBD ; but , if there be only one angle at a point , itmay be expressed by a letter placed at that point ; as the angle at E. 6 6 7. When

a ...

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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