Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 páginas |
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Página 1
The First Six, the Eleventh and Twelfth Books Euclid. ERRAT A. Page 3. line 41. for Def . 5. r . Def . 6. P. 25. 1.7 . for the Angle ACD , r . the Angle BCD . P. 27. 1. 15. r .. Centre . P. 28. 1. 9. r . Euclid . P. 64. 1. 17. for DF , r ...
The First Six, the Eleventh and Twelfth Books Euclid. ERRAT A. Page 3. line 41. for Def . 5. r . Def . 6. P. 25. 1.7 . for the Angle ACD , r . the Angle BCD . P. 27. 1. 15. r .. Centre . P. 28. 1. 9. r . Euclid . P. 64. 1. 17. for DF , r ...
Página 3
The First Six, the Eleventh and Twelfth Books Euclid. EUCLID's ELEMENTS . BOOK I. " A DEFINITIONS . POINT is that which has no parts 2 . 2. A line is length without breadth . 3. The extremes of a line are points . 4. A right line is that ...
The First Six, the Eleventh and Twelfth Books Euclid. EUCLID's ELEMENTS . BOOK I. " A DEFINITIONS . POINT is that which has no parts 2 . 2. A line is length without breadth . 3. The extremes of a line are points . 4. A right line is that ...
Página 4
The First Six, the Eleventh and Twelfth Books Euclid. 1 24. Of three - fided figures , that is an equilateral ... Euclid's definition of parallels is in general the beft ; though in fome particular inftances , thefe others are not ...
The First Six, the Eleventh and Twelfth Books Euclid. 1 24. Of three - fided figures , that is an equilateral ... Euclid's definition of parallels is in general the beft ; though in fome particular inftances , thefe others are not ...
Página 5
... Euclid calls parallels . --- This eighth axiom is univerfally convertible , although Proclus , Borelius , Taquet , & c . fay it is not . See Barrow's learned arguments upon this fubject in his 13th Mathematical Lecture . * In fome books ...
... Euclid calls parallels . --- This eighth axiom is univerfally convertible , although Proclus , Borelius , Taquet , & c . fay it is not . See Barrow's learned arguments upon this fubject in his 13th Mathematical Lecture . * In fome books ...
Página 9
... Euclid's , they are therefore not to be ad- mitted in the pure elements of geometry . Euclid himself , doubtless , very well knew that thefe problems might be mc- chanically refolved more eafily by compaff.s ; and even that he might ...
... Euclid's , they are therefore not to be ad- mitted in the pure elements of geometry . Euclid himself , doubtless , very well knew that thefe problems might be mc- chanically refolved more eafily by compaff.s ; and even that he might ...
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...