Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 Seiten |
Im Buch
Ergebnisse 6-10 von 74
Seite 313
... folid figures are fuch as are con- tained under fimilar planes equal in number and magni- tude . 11. A folid angle is the inclination of more than two right lines , which touch one another and be not in the fame plane . Or thus , a folid ...
... folid figures are fuch as are con- tained under fimilar planes equal in number and magni- tude . 11. A folid angle is the inclination of more than two right lines , which touch one another and be not in the fame plane . Or thus , a folid ...
Seite 314
... folid figure made by the entire re- volution of a right angled parallelogram about one of its fides , which remains at reft during the revolution of the parallelogram 8 . 22. The axis of the cylinder is that fide of the revolv- ing ...
... folid figure made by the entire re- volution of a right angled parallelogram about one of its fides , which remains at reft during the revolution of the parallelogram 8 . 22. The axis of the cylinder is that fide of the revolv- ing ...
Seite 315
... folid figure contained under fix equal fquares . 26. A tetrahedron is a folid figure contained under four equal equilateral triangles . 27. An octahedron is a folid figure contained under eight equal equilateral triangles . 28. A ...
... folid figure contained under fix equal fquares . 26. A tetrahedron is a folid figure contained under four equal equilateral triangles . 27. An octahedron is a folid figure contained under eight equal equilateral triangles . 28. A ...
Seite 331
... folid angle be contained under three plane angles , any two of them taken together , are greater than the third . For let a folid angle at A be contained under the three plane angles B AC , CAD , DAB : I fay any two of these angles BAC ...
... folid angle be contained under three plane angles , any two of them taken together , are greater than the third . For let a folid angle at A be contained under the three plane angles B AC , CAD , DAB : I fay any two of these angles BAC ...
Seite 332
... folid angle be contained under three plane angles , any two of them , taken together , are greater than the third . Which was to be demonstrated . PROP . XXI . THEOR . Every folid angle is contained under plane angles that [ taken ...
... folid angle be contained under three plane angles , any two of them , taken together , are greater than the third . Which was to be demonstrated . PROP . XXI . THEOR . Every folid angle is contained under plane angles that [ taken ...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Seite 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 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...