The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12]. |
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Resultat 1-5 av 85
Side 2
Thus the angle which is contained by the straight lines AB , CB , is named the
angle ABC , or CBA ; that which is contained by AB , DB , is named the angle
ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC ,
or ...
Thus the angle which is contained by the straight lines AB , CB , is named the
angle ABC , or CBA ; that which is contained by AB , DB , is named the angle
ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC ,
or ...
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 . XVI . And this point is called the ...
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 . XVI . And this point is called the ...
Side 8
If two triangles have two sides of the one equal to two sides of the other , each to
each , and have likewise the angles contained by those sides equal to each other
; they shall likewise have their bases or third sides equal , and the two triangles ...
If two triangles have two sides of the one equal to two sides of the other , each to
each , and have likewise the angles contained by those sides equal to each other
; they shall likewise have their bases or third sides equal , and the two triangles ...
Side 12
If two triangles have two sides of the one equal to two sides of the other , each to
each , and have likewise their bases equal ; the angle which is contained by the
two sides of the one shall be equal to the angle contained by the two sides equal
...
If two triangles have two sides of the one equal to two sides of the other , each to
each , and have likewise their bases equal ; the angle which is contained by the
two sides of the one shall be equal to the angle contained by the two sides equal
...
Side 22
If two triangles have two sides of the one equal to two sides of the other , each to
each , but the angle contained by the two sides of one of them greater than the
angle contained by the two sides equal to them , of the other ; the base of that ...
If two triangles have two sides of the one equal to two sides of the other , each to
each , but the angle contained by the two sides of one of them greater than the
angle contained by the two sides equal to them , of the other ; the base of that ...
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Vanlige uttrykk og setninger
ABCD Algebraically Apply base bisected Book chord circle circumference common construction contained definition demonstrated described diagonals diameter difference distance divided double draw drawn equal equal angles equiangular equilateral triangle equimultiples Euclid extremities fall figure formed four fourth Geometrical given circle given line given point given straight line greater half Hence inscribed intersection isosceles join length less Let ABC line drawn magnitudes manner mean meet multiple parallel parallelogram pass perpendicular plane problem produced Prop proportionals proved Q.E.D. PROPOSITION radius ratio reason rectangle rectangle contained regular remaining respectively right angles segment semicircle shew shewn sides similar solid square straight line taken tangent THEOREM third touch triangle ABC twice units vertex wherefore whole
Populære avsnitt
Side 112 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Side 83 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Side 48 - If two triangles have two sides of the one equal to two sides of the other, each to each ; and...
Side 238 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 198 - A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater, that is, ' when the less is contained a certain number of times exactly in the greater.
Side 271 - SIMILAR triangles are to one another in the duplicate ratio of their homologous sides.
Side 81 - 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 115 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Side 341 - On the same base, and on the same side of it, there cannot be two triangles...
Side 24 - ... twice as many right angles as the figure has sides ; 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.
Bibliografisk informasjon
| Tittel | The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12]. |
| Forfatter | Euclides |
| Redaktør | Robert Potts |
| Utgave | 5 |
| distribuert | 1864 |
| Original fra | Oxford University |
| Digitalisert | 7. sep 2006 |
| Eksporter sitat | BiBTeX EndNote RefMan |