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 100.
Σελίδα 4
... drawn from a given point in a plane to a given right line in that plane , fo the longeft right line that can be drawn from that point to [ or rather towards ] that given right line , is pa- rallel to it . But Euclid's definition of ...
... drawn from a given point in a plane to a given right line in that plane , fo the longeft right line that can be drawn from that point to [ or rather towards ] that given right line , is pa- rallel to it . But Euclid's definition of ...
Σελίδα 17
... draw a right line at right angles to it . Let there be a given right line A B , and let the given point in the fame be c ... drawn the right line C F at right angles to A B. For because the right line C D is equal to the right line . CE ...
... draw a right line at right angles to it . Let there be a given right line A B , and let the given point in the fame be c ... drawn the right line C F at right angles to A B. For because the right line C D is equal to the right line . CE ...
Σελίδα 18
... draw the right lines CG , CH , CE : I fay , that the right line C H is EB drawn from the given point C , without the given infinite right line A B perpendicular to it . For because G H is equal to the right line HE , and the right line ...
... draw the right lines CG , CH , CE : I fay , that the right line C H is EB drawn from the given point C , without the given infinite right line A B perpendicular to it . For because G H is equal to the right line HE , and the right line ...
Σελίδα 19
... drawn the perpendicular C H to it . Which was to be done . It was very right in Euclid to fuppofe an infinite right line in this problem ; for if it were a finite right line , a right line could not always be drawn from a given point ...
... drawn the perpendicular C H to it . Which was to be done . It was very right in Euclid to fuppofe an infinite right line in this problem ; for if it were a finite right line , a right line could not always be drawn from a given point ...
Σελίδα 20
... drawn contrary ways do make , with the first line , the adjacent angles equal to two right angles , thofe right lines will be directly placed to one another , or both fall into one right linee . For at the point B in the right line A B ...
... drawn contrary ways do make , with the first line , the adjacent angles equal to two right angles , thofe right lines will be directly placed to one another , or both fall into one right linee . For at the point B in the right line A B ...
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...