Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 σελίδες |
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Σελίδα 30
... have two angles of the one equal to two angles of the other , each to each , and one fide of the one equal to one fide of the other , either that fide which is between the equal angles , or that which is oppofite to one of them ; then ...
... have two angles of the one equal to two angles of the other , each to each , and one fide of the one equal to one fide of the other , either that fide which is between the equal angles , or that which is oppofite to one of them ; then ...
Σελίδα 32
... have two angles of the one equal to two angles of the other , each to each ; and one fide of the one equal to one fide of the other , either that which is between the equal angles , or that which is oppofite to one of them ; the ...
... have two angles of the one equal to two angles of the other , each to each ; and one fide of the one equal to one fide of the other , either that which is between the equal angles , or that which is oppofite to one of them ; the ...
Σελίδα 113
... have two angles of the one equal to two angles of the other , and the fide EF of the one equal to the fide E F of the other , viz . the common fide oppofite to one of the equal angles : therefore the remaining fides of the one triangle ...
... have two angles of the one equal to two angles of the other , and the fide EF of the one equal to the fide E F of the other , viz . the common fide oppofite to one of the equal angles : therefore the remaining fides of the one triangle ...
Σελίδα 184
... have two angles of the one equal to two angles of the other , and one fide of the one equal to one fide of the other , viz . the common fide Fc , which is oppofite to one of the equal angles : Therefore [ by 26. 1. ] their remaining ...
... have two angles of the one equal to two angles of the other , and one fide of the one equal to one fide of the other , viz . the common fide Fc , which is oppofite to one of the equal angles : Therefore [ by 26. 1. ] their remaining ...
Σελίδα 317
... have two angles of the one equal to two angles of the other , each to each , and one fide AE of the one equal to one fide EB of the other , which lies between the equal an- gles : Wherefore [ by 26. 1. ] the remaining fides of the one ...
... have two angles of the one equal to two angles of the other , each to each , and one fide AE of the one equal to one fide EB of the other , which lies between the equal an- gles : Wherefore [ by 26. 1. ] the remaining fides of the one ...
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...