Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 páginas |
Dentro del libro
Resultados 1-5 de 51
Página xi
... itself in its Place ) which fays , " If the Multiple of the First Magni- tude be equal to the Multiple of the Second , " the Multiple of the Third will be equal to the Multiple 66 66 Multiple of the Fourth , " Cannot exist when.
... itself in its Place ) which fays , " If the Multiple of the First Magni- tude be equal to the Multiple of the Second , " the Multiple of the Third will be equal to the Multiple 66 66 Multiple of the Fourth , " Cannot exist when.
Página xii
The First Six, the Eleventh and Twelfth Books Euclid. 66 Multiple of the Fourth , " Cannot exist when the Magnitudes are incommenfurable ; because when the First and Second , and the Third and Fourth Terms of Two equal Ratios , or Four ...
The First Six, the Eleventh and Twelfth Books Euclid. 66 Multiple of the Fourth , " Cannot exist when the Magnitudes are incommenfurable ; because when the First and Second , and the Third and Fourth Terms of Two equal Ratios , or Four ...
Página xiii
... Fourth Definition of it , and therefore they are all of the fame Kind , viz . Lines , Superficies , or Solids , & c . - If this be not granted , I am certain the Twelfth , Fourteenth , Sixteenth , and Twenty - fifth Propofitions of the ...
... Fourth Definition of it , and therefore they are all of the fame Kind , viz . Lines , Superficies , or Solids , & c . - If this be not granted , I am certain the Twelfth , Fourteenth , Sixteenth , and Twenty - fifth Propofitions of the ...
Página 64
... fourth , fecond and fifth , third and fixth ) will be equal to one another ; thirdly , any diagonal joining two of thofe oppofite angles , will divide the figure into two equal parts . G B C For let ABCDEF be a right - lined figure ...
... fourth , fecond and fifth , third and fixth ) will be equal to one another ; thirdly , any diagonal joining two of thofe oppofite angles , will divide the figure into two equal parts . G B C For let ABCDEF be a right - lined figure ...
Página 65
... ( viz . the firft and fourth , fecond and fifth , third and fixth ) will be equal to one another : Thirdly , any diagonal joining two of those F oppofite oppofite angles , will divide the figure into two equal Book I. 65 ADDITIONS .
... ( viz . the firft and fourth , fecond and fifth , third and fixth ) will be equal to one another : Thirdly , any diagonal joining two of those F oppofite oppofite angles , will divide the figure into two equal Book I. 65 ADDITIONS .
Otras ediciones - Ver todas
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C D alfo alſo angle ABC becauſe the angle bifected centre circle A B C circumference cone confequent cylinder defcribed demonftrated diameter equal angles equiangular equimultiples Euclid EUCLID's ELEMENTS fame altitude fame multiple fame ratio fame reafon fecond fegment femidiameter fhall fides A B fimilar fince firft firſt fixth folid angle folid parallelepipedon fome fphere ftand given circle given right line given triangle greater infcribed interfect join leffer lefs leſs parallel parallelogram perpendicular polygon prifm PROP propofition proportional pyramid rectangle contained regular polygon remaining angle right angles right line A B right lined figure right-lined SCHOLIUM ſquare thefe THEOR theſe thofe thoſe trapezium triangle ABC twice the fquare vertex the point Wherefore whofe bafe whoſe baſe
Pasajes populares
Página 247 - 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.
Página 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Página 248 - But it was proved that the angle AGB is equal to the angle at F ; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than a right angle ; which is absurd.
Página 18 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Página 32 - Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD.
Página 56 - 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.
Página 391 - KL: but the cylinder CM is equal to the cylinder EB, and the axis LN to the axis GH; therefore as the cylinder EB to...
Página 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Página 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Página 183 - FK : in the same manner it may be demonstrated, that FL, FM, FG are each of them equal to FH, or FK : therefore the five straight lines FG, FH, FK, FL, FM are equal to one another : wherefore the circle described from the centre F, at the distance of...