Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green |
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Side 19
To use a Scale of Equal Parts intelligently , we should understand the nature of
Representative Values . A miniature is representative of the human face ; and a
map may be representative of an immense tract of the heavens . The lines in the
...
To use a Scale of Equal Parts intelligently , we should understand the nature of
Representative Values . A miniature is representative of the human face ; and a
map may be representative of an immense tract of the heavens . The lines in the
...
Side 20
The representative Values of these measure - A ments must now be taken from a
Scale of Equal Parts , and drawn on paper , or on any plane surface : thus , draw
a st . line DF of an indefinite length , and at D , by aid of the graduated ...
The representative Values of these measure - A ments must now be taken from a
Scale of Equal Parts , and drawn on paper , or on any plane surface : thus , draw
a st . line DF of an indefinite length , and at D , by aid of the graduated ...
Side 21
The representative Values of these measure- A 7B ET F ments must now be
taken from a Scale of Equal Parts , and drawn on paper , or on any plane surface
: thus , draw a st . line DF of an indefinite length , and at D , by aid of the
graduated ...
The representative Values of these measure- A 7B ET F ments must now be
taken from a Scale of Equal Parts , and drawn on paper , or on any plane surface
: thus , draw a st . line DF of an indefinite length , and at D , by aid of the
graduated ...
Side 35
All rectil . figures being divisible into triangles , this Prop . is of very extensive use
either for making one rectil . figure equal to another , or on the theory of
Representative Values , making one figure like to another : in the first case the
triangles ...
All rectil . figures being divisible into triangles , this Prop . is of very extensive use
either for making one rectil . figure equal to another , or on the theory of
Representative Values , making one figure like to another : in the first case the
triangles ...
Side 44
The use of parallel lines enables the Surveyor to ascertain the distance of an
inaccessible object , by the method of Representative Values or of Construction :
thus , there are three objects , A , B , C , distant from each other AC 6 miles , AB 8
...
The use of parallel lines enables the Surveyor to ascertain the distance of an
inaccessible object , by the method of Representative Values or of Construction :
thus , there are three objects , A , B , C , distant from each other AC 6 miles , AB 8
...
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Vanlige uttrykk og setninger
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.
Bibliografisk informasjon
| Tittel | Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green |
| Forfatter | Euclides |
| Redaktør | Henry Green |
| distribuert | 1863 |
| Original fra | Oxford University |
| Digitalisert | 14. nov 2006 |
| Eksporter sitat | BiBTeX EndNote RefMan |