Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 Seiten |
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Seite iv
... such as Tacitus , Suetonius , Gellius , seemed even not to know what mathematics or mathematicians were ; they ranked mathematicians with conjurers and fortune - tellers . Nay it is said in Tacitus's Annals , that the senate passed a ...
... such as Tacitus , Suetonius , Gellius , seemed even not to know what mathematics or mathematicians were ; they ranked mathematicians with conjurers and fortune - tellers . Nay it is said in Tacitus's Annals , that the senate passed a ...
Seite vii
... such as every one can easily apprehend , and no man in his senses can deny . And his method is such , that nothing is taken as true , unless it be de- monftrated , and nothing is demonftrated , but from what went before . And the ...
... such as every one can easily apprehend , and no man in his senses can deny . And his method is such , that nothing is taken as true , unless it be de- monftrated , and nothing is demonftrated , but from what went before . And the ...
Seite viii
... such as have given other demonstrations of fome of his propositions ; fuch as have left out fome of the most simple propofi- tions , or ranked them amongst the class of axioms , are generally faulty in some respect or other ; their own ...
... such as have given other demonstrations of fome of his propositions ; fuch as have left out fome of the most simple propofi- tions , or ranked them amongst the class of axioms , are generally faulty in some respect or other ; their own ...
Seite xiii
... such in any Magnitudes of different Kinds represented by these right Lines . I say it is more probable to suppose this , than to make that Author guilty of putting down the Four Propositions abovementioned , that cannot pass without ...
... such in any Magnitudes of different Kinds represented by these right Lines . I say it is more probable to suppose this , than to make that Author guilty of putting down the Four Propositions abovementioned , that cannot pass without ...
Seite xv
... such a Work . - The Book will be an Oftavo , and its Price not more than Six Shillings . But the Subscribers need not pay down any Thing till the Book be delivered . Gentlemen may fee a Specimen of this Work , and subscribe for it , at ...
... such a Work . - The Book will be an Oftavo , and its Price not more than Six Shillings . But the Subscribers need not pay down any Thing till the Book be delivered . Gentlemen may fee a Specimen of this Work , and subscribe for it , at ...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
alſo angle ABC becauſe the angle biſected centre circle ABCD circumference cone conſequent conſtruction cylinder demonftrated deſcribed diameter equal angles equal fides equiangular equimultiples Euclid fame altitude fame ratio fame reaſon fides A B fimilar fince firſt fixth fore four right given circle given right line given triangle greater inſcribed interfect join leſs oppoſite parallel parallelepipedon parallelogram perpendicular plane point F polygon priſms PROP proportional propoſition rectangle rectangle contained remaining angle right angles right line A B right lined figure right-lined ſame ſame multiple ſay SCHOLIUM ſecond ſector ſegment ſemidiameter ſhall ſide ſince ſolid ſome ſphere ſquares of A C ſtand ſuch ſum THEOR theſe thoſe thro trapezium triangle ABC twice the ſquare vertex the point Wherefore whoſe baſe
Beliebte Passagen
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Seite 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 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...