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 16.
Σελίδα 172
... inscribed in the circle A B C. B D A H Hence an equilateral triangle may be eafily infcribed in a given circle ; for it C is but applying A D equal to the femidi- ameter A H of the circle ; and then again , applying BD equal to AH , and ...
... inscribed in the circle A B C. B D A H Hence an equilateral triangle may be eafily infcribed in a given circle ; for it C is but applying A D equal to the femidi- ameter A H of the circle ; and then again , applying BD equal to AH , and ...
Σελίδα 174
... [ by 5. def . 4. ] be inscribed in the triangle AB C. F Therefore the circle EFG is infcribed in the given tri- angle A B C. Which was to be done . PROP . PROP . V. PROBL : To circumfcribe a circle about 174 Book IV . Euclid's Elements .
... [ by 5. def . 4. ] be inscribed in the triangle AB C. F Therefore the circle EFG is infcribed in the given tri- angle A B C. Which was to be done . PROP . PROP . V. PROBL : To circumfcribe a circle about 174 Book IV . Euclid's Elements .
Σελίδα 176
... inscribe a square in a given circle . Let the given circle be A B C D : it is required to infcribe a fquare in the circle A B C D. Draw [ by 11. 1. ] two diameters A C , BD at right an- gles to one another ; and join A B2 B C , CD , DA ...
... inscribe a square in a given circle . Let the given circle be A B C D : it is required to infcribe a fquare in the circle A B C D. Draw [ by 11. 1. ] two diameters A C , BD at right an- gles to one another ; and join A B2 B C , CD , DA ...
Σελίδα 182
... inscribed in the circle A B C D. Note also that F G is the fide of a regular decagon or figure of ten equal fides and angles infcribed in that circle . The demonftration easily follows from the ninth and tenth propofi- tions of the ...
... inscribed in the circle A B C D. Note also that F G is the fide of a regular decagon or figure of ten equal fides and angles infcribed in that circle . The demonftration easily follows from the ninth and tenth propofi- tions of the ...
Σελίδα 184
... inscribe a circle in the penta- gon A B C D E. Bifect [ by 9 . right lines CF , DF . meet , draw the right B H M E 1. ] each of the angles B C D , CDE by the And from the point F wherein they lines F B , F A , FE . And becaufe B C is ...
... inscribe a circle in the penta- gon A B C D E. Bifect [ by 9 . right lines CF , DF . meet , draw the right B H M E 1. ] each of the angles B C D , CDE by the And from the point F wherein they lines F B , F A , FE . And becaufe B C is ...
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
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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...