Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side 47
... four leffer parallelograms within the greater , those two of the four leffer parallelograms , which fall without that diagonal , will be equal to one another . PROP . XLIV . PROBL . To apply a parallelogram to a given right line equal ...
... four leffer parallelograms within the greater , those two of the four leffer parallelograms , which fall without that diagonal , will be equal to one another . PROP . XLIV . PROBL . To apply a parallelogram to a given right line equal ...
Side 50
... four right lines BA , AD , DE , E B are equal to one another . Wherefore the parallelogram A DEB is equilateral : I fay , it is alfo right - angled . For because the right line AD falls upon the two parallels AB , DE ? the angles BAD ...
... four right lines BA , AD , DE , E B are equal to one another . Wherefore the parallelogram A DEB is equilateral : I fay , it is alfo right - angled . For because the right line AD falls upon the two parallels AB , DE ? the angles BAD ...
Side 54
... four right lines that are drawn from any point whatsoever to the four angles of that figure [ except it be the inter- fection of the diagonals ] . Let A B C D be a right - lined quadrilateral figure , and the right lines A C , B D its ...
... four right lines that are drawn from any point whatsoever to the four angles of that figure [ except it be the inter- fection of the diagonals ] . Let A B C D be a right - lined quadrilateral figure , and the right lines A C , B D its ...
Side 55
... four right lines A E , E C , B E , ED together . Therefore the two diagonals of any right - lined quadri- lateral figure , are together lefs than the four right lines that are drawn from any point whatsoever to the four angles of that ...
... four right lines A E , E C , B E , ED together . Therefore the two diagonals of any right - lined quadri- lateral figure , are together lefs than the four right lines that are drawn from any point whatsoever to the four angles of that ...
Side 56
... four , as that figure has fides . Which was to be demonftrated . Otherwife thus : From any point within the figure ... four right angles at the point of fection , and these four angles are equal to any number of angles about that point ...
... four , as that figure has fides . Which was to be demonftrated . Otherwife thus : From any point within the figure ... four right angles at the point of fection , and these four angles are equal to any number of angles about that point ...
Andre utgaver - Vis alle
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Side 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 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...