## Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green |

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Resultat 1-5 av 5

Side 3

GROWTH OF GEOMETRY — THE ELEMENTS OF EUCLID . GEOMETRY , land -

measuring , as the word denotes ( from gee ,

measure ) , was in its origin an Art and not a Science : it embraced a system of

rules ...

GROWTH OF GEOMETRY — THE ELEMENTS OF EUCLID . GEOMETRY , land -

measuring , as the word denotes ( from gee ,

**earth**, or land , and metron , ameasure ) , was in its origin an Art and not a Science : it embraced a system of

rules ...

Side 34

... quantities seen under a greater angle appear greater . For this reason the

apparent diameter of the sun measures more when the

when it is in aphelion . Andthus , - - according to Vitruvius , who composed his

work ...

... quantities seen under a greater angle appear greater . For this reason the

apparent diameter of the sun measures more when the

**earth**sin perihelion , thanwhen it is in aphelion . Andthus , - - according to Vitruvius , who composed his

work ...

Side 42

ERATOSTHENES , who died B . C . 196 , at the age of 80 , applied the last three

Propositions to the measuring of the circumference of the

method still employed . ( See Dictionary of Greek and Roman Biography , vol . ii ...

ERATOSTHENES , who died B . C . 196 , at the age of 80 , applied the last three

Propositions to the measuring of the circumference of the

**earth**, and followed themethod still employed . ( See Dictionary of Greek and Roman Biography , vol . ii ...

Side 46

In Astronomy to determine the Parallax of a heavenly Let C represent the

centre , A a point on the

A ; S is a star or any heavenly body not in the zenith . By observation take the ...

In Astronomy to determine the Parallax of a heavenly Let C represent the

**earth**' scentre , A a point on the

**earth**' s circumference AB , and Z the zenith of the stationA ; S is a star or any heavenly body not in the zenith . By observation take the ...

Side 62

2 The height of any elevation on the

with the

ascertaining the height of mountains , we may consider the

diameter ...

2 The height of any elevation on the

**earth**' s surface is so small when comparedwith the

**earth**' s diameter , that for practical purposes , as levelling , andascertaining the height of mountains , we may consider the

**earth**' s actualdiameter ...

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ABCD added angle equal apply ascertain assumed Axioms base base BC bisected centre circle circumference coincide common Conc construct contained definition demonstration describe diagonal diameter distance divided draw drawn earth's equal Euclid extremity fall feet figure four Geometry given given point greater half height impossible inches inference intersect join length less line BC measure meet miles named object opposite parallel parallelogram perpendicular plane practical principle produced Prop proposition proved reason rectangle rectil rectilineal representative right angles scale sides square straight line suppose surface thing third triangle true truth units Wherefore whole

### Populære avsnitt

Side 36 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.

Side 17 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Side 17 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.

Side 41 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.

Side 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Side 16 - LET it be granted that a straight line may be drawn from any one point to any other point.

Side 54 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

Side 21 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.

Side 22 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity.

Side 12 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.