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]. |
Inni boken
Resultat 1-5 av 77
Side
59 64 69 99 109 110 113 PREFACE to the Third Edition . . . . . . . . . First Book of
the Elements . . . . . . . . . . . Notes to the First Book . . . . . . . . . . . . Questions on the
First Book . . . On the Ancient Geometrical Analysis . Geometrical Exercises on ...
59 64 69 99 109 110 113 PREFACE to the Third Edition . . . . . . . . . First Book of
the Elements . . . . . . . . . . . Notes to the First Book . . . . . . . . . . . . Questions on the
First Book . . . On the Ancient Geometrical Analysis . Geometrical Exercises on ...
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 19
... of a triangle are together greater - than the third side . Let ABC be a triangle .
Then any two sides of it together shall be greater than the third side , viz . the
sides BĂ , AC greater than the side BC ; AB , BC greater than AC ; and BC ,
BOOK 1 .
... of a triangle are together greater - than the third side . Let ABC be a triangle .
Then any two sides of it together shall be greater than the third side , viz . the
sides BĂ , AC greater than the side BC ; AB , BC greater than AC ; and BC ,
BOOK 1 .
Side 21
Therefore , if from the ends of the side , & c . Q . E . D . PROPOSITION XXII .
PROBLEM . To make a triangle of which the sides shall be equal to three given
straight lines , but any two whatever of these must be greater than the third . Let A
, B ...
Therefore , if from the ends of the side , & c . Q . E . D . PROPOSITION XXII .
PROBLEM . To make a triangle of which the sides shall be equal to three given
straight lines , but any two whatever of these must be greater than the third . Let A
, B ...
Side 24
... and one siile equal to one side , viz . either the sides adja . cent to the equal
angles in each , or the sides opposite to them ; then shall the other sides be
equal , each to each , and also the third angle of the one equal to the third angle
of the ...
... and one siile equal to one side , viz . either the sides adja . cent to the equal
angles in each , or the sides opposite to them ; then shall the other sides be
equal , each to each , and also the third angle of the one equal to the third angle
of the ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
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 |