Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Resultater 1-5 af 78
Side 1
... fimilar , r . fimilar folid . P. 441. at the Top , for Book III . r . Book VI . P. 443. at the Top , r . Book XII . P. 446 , 447 , 448. at the Top , r . Book VI . P. 452 453. at the Top , T. Book XI . EUCLID's ELEMENTS . BOOK I. " A ...
... fimilar , r . fimilar folid . P. 441. at the Top , for Book III . r . Book VI . P. 443. at the Top , r . Book XII . P. 446 , 447 , 448. at the Top , r . Book VI . P. 452 453. at the Top , T. Book XI . EUCLID's ELEMENTS . BOOK I. " A ...
Side 133
... fimilar and unequal fegments of circles cannot be fet upon the fame right line , on the fame fide of it . For if this be poffible , let two unequal fegments , ACB , A D B , of two circles ftand upon the fame right line AB , both on the ...
... fimilar and unequal fegments of circles cannot be fet upon the fame right line , on the fame fide of it . For if this be poffible , let two unequal fegments , ACB , A D B , of two circles ftand upon the fame right line AB , both on the ...
Side 134
... fimilar fegments of circles ftand- ing upon the equal right lines A B , CD : I fay , the fegments AE B , C F D are equal to one another . For the fegment A E B being applied to the fegment CFD fo as the point A agrees E A F with C , and ...
... fimilar fegments of circles ftand- ing upon the equal right lines A B , CD : I fay , the fegments AE B , C F D are equal to one another . For the fegment A E B being applied to the fegment CFD fo as the point A agrees E A F with C , and ...
Side 136
... fimilar to the fegment EDF , and they are upon the equal right lines BC , EF : But fimilar fegments of circles which are upon equal right lines [ by 24. 3. ] are equal to one another : Therefore the fegment B A C is equal to the fegment ...
... fimilar to the fegment EDF , and they are upon the equal right lines BC , EF : But fimilar fegments of circles which are upon equal right lines [ by 24. 3. ] are equal to one another : Therefore the fegment B A C is equal to the fegment ...
Side 251
... fimilar to one another , and to the whole right angled tri- angle . Let there be a right angled triangle ABC , having the right angle B A C ; and let AD be the perpendicular drawn from the point A to the base BC : I fay the triangles A ...
... fimilar to one another , and to the whole right angled tri- angle . Let there be a right angled triangle ABC , having the right angle B A C ; and let AD be the perpendicular drawn from the point A to the base BC : I fay the triangles A ...
Andre udgaver - Se alle
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2016 |
Almindelige termer og sætninger
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 passager
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...