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]. |
Inni boken
Resultat 1-5 av 7
Side 101
FG to GE ; in the same manner it may be demonstrated that GH , GK are each f of
them equal to FG or GE : therefore the four straight lines GE , GF , GH , GK are
equal to one another ; and the circle described from the • В НС centre G at the ...
FG to GE ; in the same manner it may be demonstrated that GH , GK are each f of
them equal to FG or GE : therefore the four straight lines GE , GF , GH , GK are
equal to one another ; and the circle described from the • В НС centre G at the ...
Side 215
... the • B . 11 . same manner , the other solid angles of the figures are equal to
one another . If , then , the solid figure AG be applied to the solid fi - 1 R gure KQ ,
first the plane figure AC being applied to the DF + plane figure V KM ; the straight
.
... the • B . 11 . same manner , the other solid angles of the figures are equal to
one another . If , then , the solid figure AG be applied to the solid fi - 1 R gure KQ ,
first the plane figure AC being applied to the DF + plane figure V KM ; the straight
.
Side 217
... therefore , all the planes and sides of the solid figure AG coincide with the
planes and sides of the solid figure KQ , AG is equal and similar to KQ : And , in
the same manner , any other solid figures whatever contained by the same
number of ...
... therefore , all the planes and sides of the solid figure AG coincide with the
planes and sides of the solid figure KQ , AG is equal and similar to KQ : And , in
the same manner , any other solid figures whatever contained by the same
number of ...
Side 285
In the same manner , it may be demonstrated , that the sphere DEF has not to any
sphere less than ABC , the triplicate ratio of that which EF has to BC . Nor can the
sphere ABC have to any sphere greater than DEF , the triplicate ratio of that ...
In the same manner , it may be demonstrated , that the sphere DEF has not to any
sphere less than ABC , the triplicate ratio of that which EF has to BC . Nor can the
sphere ABC have to any sphere greater than DEF , the triplicate ratio of that ...
Side 319
This is demonstrated in a particular case , viz . that in which the third part of a
straight line is required to be cut off ; which is not at all like Luclid ' s manner :
Besides , the author of the demonstration , from four magnitudes being
proportionals ...
This is demonstrated in a particular case , viz . that in which the third part of a
straight line is required to be cut off ; which is not at all like Luclid ' s manner :
Besides , the author of the demonstration , from four magnitudes being
proportionals ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
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 |