Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 55
... twice the diagonals . PROP . III . THEOR . All the angles of any right - lined figure , when the angles are all inward , are equal to twice as many right angles , wanting four , as that figure has fides . For any right - lined figure ...
... twice the diagonals . PROP . III . THEOR . All the angles of any right - lined figure , when the angles are all inward , are equal to twice as many right angles , wanting four , as that figure has fides . For any right - lined figure ...
Σελίδα 56
... twice as many right angles , wanting four , as that figure has fides . Which was to be demonftrated . Otherwife thus ... twice as many right angles as the figure has fides : therefore all the angles of the figure , to- gether with all ...
... twice as many right angles , wanting four , as that figure has fides . Which was to be demonftrated . Otherwife thus ... twice as many right angles as the figure has fides : therefore all the angles of the figure , to- gether with all ...
Σελίδα 57
The First Six, the Eleventh and Twelfth Books Euclid. equal to twice as many right angles as the figure has angles , that is , has fides . But fince all the inward angles together , with four right angles , has been proved to be equal to ...
The First Six, the Eleventh and Twelfth Books Euclid. equal to twice as many right angles as the figure has angles , that is , has fides . But fince all the inward angles together , with four right angles , has been proved to be equal to ...
Σελίδα 58
... twice the number of fides of the figure ; as , if the figure has four fides , it can have one outward an- gle . And in this cafe , the outward angle is equal to all the three inward angles . If a pentagon has two outward angles and ...
... twice the number of fides of the figure ; as , if the figure has four fides , it can have one outward an- gle . And in this cafe , the outward angle is equal to all the three inward angles . If a pentagon has two outward angles and ...
Σελίδα 63
... twice the angle B FC , will be equal to the an- gles BFC , CFD , CDF ; that is , to the angles BFD , CDF . And if the equal angles A F B , B F D be taken away , there will remain the angle FA C , and twice the angle B F C , equal to the ...
... twice the angle B FC , will be equal to the an- gles BFC , CFD , CDF ; that is , to the angles BFD , CDF . And if the equal angles A F B , B F D be taken away , there will remain the angle FA C , and twice the angle B F C , equal to the ...
Άλλες εκδόσεις - Προβολή όλων
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Σελίδα 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Σελίδα 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...