The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson]. |
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Side 389
32 D In like manner EF also is given in position ; wherefore the point F is given :
And the points D , E are given ; therefore each of the straight lines DE , EF , FD ,
is giveno in 99 Dat . magnitude ; wherefore the triangle DEF is given in species d
...
32 D In like manner EF also is given in position ; wherefore the point F is given :
And the points D , E are given ; therefore each of the straight lines DE , EF , FD ,
is giveno in 99 Dat . magnitude ; wherefore the triangle DEF is given in species d
...
Side 397
L . 76 . from the vertex of a triangle given in species , a straight line be drawn to
the base in a given angle ; it shall have a given ratio to the base . From the vertex
A of the triangle ABC which is given in species , let AD be drawn to the base BC ...
L . 76 . from the vertex of a triangle given in species , a straight line be drawn to
the base in a given angle ; it shall have a given ratio to the base . From the vertex
A of the triangle ABC which is given in species , let AD be drawn to the base BC ...
Side 401
Take a straight line H given in magnitude ; and because the ratio of AB to CD is
given , make the ratio of H to K the same with ... If two straight lines have a given
ratio to one another ; the rectilineal figures given in species , described upon
them ...
Take a straight line H given in magnitude ; and because the ratio of AB to CD is
given , make the ratio of H to K the same with ... If two straight lines have a given
ratio to one another ; the rectilineal figures given in species , described upon
them ...
Side 415
PROP . LXX . · 62 . 73 . If two straight lines have a given ratio to one an . See Ni
other , and upon one of them be described a rectiliDeal figure given in species ,
and upon the other a parallelogram having a given angle ; if the figure have ...
PROP . LXX . · 62 . 73 . If two straight lines have a given ratio to one an . See Ni
other , and upon one of them be described a rectiliDeal figure given in species ,
and upon the other a parallelogram having a given angle ; if the figure have ...
Side 434
If a parallelogram equal to a given space be applied to a given straight line
exceeding by a parallelogram given in species ; the sides of the excess are given
. Let the parallelogram AC equal to a given space be applied to the given straight
...
If a parallelogram equal to a given space be applied to a given straight line
exceeding by a parallelogram given in species ; the sides of the excess are given
. Let the parallelogram AC equal to a given space be applied to the given straight
...
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The Elements of Euclid; viz. the first six books, together with the eleventh ... Euclides Uten tilgangsbegrensning - 1834 |
Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC Take taken THEOR third triangle ABC wherefore whole
Populære avsnitt
Side 43 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 20 - Any two sides of a triangle are together greater than the third side.
Side 30 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 20 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Side 306 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
Side 8 - DL is equal to DG, and DA, DB, parts of them, are equal ; therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC.
Side 153 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 52 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Side 165 - SIMILAR triangles are to one another in the duplicate ratio of their homologous sides.
Bibliografisk informasjon
| Tittel | The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson]. |
| Forfatter | Euclides |
| Redaktør | Robert Simson |
| Utgave | 16 |
| distribuert | 1814 |
| Original fra | Oxford University |
| Digitalisert | 19. apr 2006 |
| Eksporter sitat | BiBTeX EndNote RefMan |