The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected. viz. the first six books, together with the eleventh and twelfth |
Inni boken
Resultat 1-5 av 5
Side 317
And because the sides AB , BC , CA are given , their ratios to one another are
given ( 1. dat . ) , therefore the ... in species . PROP . XLIII . 40 . If each of the
angles of a triangle be given in magnitude , the triangle is given in species . Let
each of ...
And because the sides AB , BC , CA are given , their ratios to one another are
given ( 1. dat . ) , therefore the ... in species . PROP . XLIII . 40 . If each of the
angles of a triangle be given in magnitude , the triangle is given in species . Let
each of ...
Side 324
FE FUE FG BA the thie Let the rectilineal figure ABCDE be given in species ; -
ABCDE may be divided into triangles given in species . Join BE , BD ; and
because ABCDE is given in species , the angle BAE is given ( 3. def . ) , and the
ratio of ...
FE FUE FG BA the thie Let the rectilineal figure ABCDE be given in species ; -
ABCDE may be divided into triangles given in species . Join BE , BD ; and
because ABCDE is given in species , the angle BAE is given ( 3. def . ) , and the
ratio of ...
Side 327
If two straight lines have a given ratio to one another ; the rectilineal figures given
in species described upon them , shall have to one another a given ratio . Let AB
, CD be two straight lines which have a given ratio to one another ' : the ...
If two straight lines have a given ratio to one another ; the rectilineal figures given
in species described upon them , shall have to one another a given ratio . Let AB
, CD be two straight lines which have a given ratio to one another ' : the ...
Side 353
First , let the parallelogram AB given in species and magnitude be increased by
the given gnomon ECBDFG , each of the straight lines CE , DF is given . Because
AB is given in species and magnitude , and that the gnomon ECBDFG is given ...
First , let the parallelogram AB given in species and magnitude be increased by
the given gnomon ECBDFG , each of the straight lines CE , DF is given . Because
AB is given in species and magnitude , and that the gnomon ECBDFG is given ...
Side 354
ع milarly placed ; therefore EF is given in speG H F cies , and is about the same
diameter ( 26. 6. ) with DL ; let BCG be the diameter , and K construct the figure ;
therefore , because the L figure EF given in species is described upon the given ...
ع milarly placed ; therefore EF is given in speG H F cies , and is about the same
diameter ( 26. 6. ) with DL ; let BCG be the diameter , and K construct the figure ;
therefore , because the L figure EF given in species is described upon the given ...
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 ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples Euclid excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line gles greater Greek half join less likewise manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained rectilineal figure remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
Populære avsnitt
Side 45 - Ir a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 41 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Side 54 - Ir any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the straight line drawn from A to B shall fall within the circle.
Side 18 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC.
Side 10 - From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line: it is required to draw from the point A a straight line equal to BC.
Side 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 256 - 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 129 - 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 23 - At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A...
Side 20 - ANY two angles of a triangle are together less than two right angles.
Bibliografisk informasjon
| Tittel | The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected. viz. the first six books, together with the eleventh and twelfth |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Desilver, Thomas & Company, 1838 |
| Original fra | University of Michigan |
| Digitalisert | 20. sep 2007 |
| Lengde | 416 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |