Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books |
Im Buch
Ergebnisse 1-5 von 100
Seite iii
They have always been in esteem and cultivated proportionably to the greatness and riches of a country , and as these have declined , so have those . a 2 When When learning flourish'd amongst the Romans , in the time.
They have always been in esteem and cultivated proportionably to the greatness and riches of a country , and as these have declined , so have those . a 2 When When learning flourish'd amongst the Romans , in the time.
Seite iv
... and some of the degenerate writers of those times , such as Tacitus , Suetonius , Gellius , seemed even not to know what mathematics or mathematicians were ; they ranked mathematicians with conjurers and fortune - tellers .
... and some of the degenerate writers of those times , such as Tacitus , Suetonius , Gellius , seemed even not to know what mathematics or mathematicians were ; they ranked mathematicians with conjurers and fortune - tellers .
Seite ix
... and diligently revised the sheets over and over before they were printed off , as they came from the press . The figures are annexed to the several proposi . tions , and not at a distance . Those of the fifth book are more distinct ...
... and diligently revised the sheets over and over before they were printed off , as they came from the press . The figures are annexed to the several proposi . tions , and not at a distance . Those of the fifth book are more distinct ...
Seite x
... useful , and elegant theorems and problems , which ; with those of Euclid himself , do render che whole more compleat elements of common geometry and fome of these are new , at least to me ; fuch as Prop . ii . at page 54 .
... useful , and elegant theorems and problems , which ; with those of Euclid himself , do render che whole more compleat elements of common geometry and fome of these are new , at least to me ; fuch as Prop . ii . at page 54 .
Seite xii
... and incommensurable Onės Irrationals , i . e . the former such as have a Ratio , or may be compared together according to Quantity , and the latter those that cannot be compared together according to Quantity , as not having a Ratio ...
... and incommensurable Onės Irrationals , i . e . the former such as have a Ratio , or may be compared together according to Quantity , and the latter those that cannot be compared together according to Quantity , as not having a Ratio ...
Was andere dazu sagen - Rezension schreiben
Es wurden keine Rezensionen gefunden.
Andere Ausgaben - Alle anzeigen
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
A B C ABCD added alſo altitude baſe becauſe centre circle circumference common cone continue cylinder definition demonſtrated deſcribed diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid exceeds fall fame fides figure firſt folid fore four fourth given right line greater half inſcribed join leſs magnitudes manner meet multiple oppoſite parallel parallelogram perpendicular plane polygon priſms PROP proportional propoſition proved pyramid ratio rectangle remaining angle right angles right line A B right lined figure ſame ſay ſecond ſegment ſhall ſides ſimilar ſince ſolid ſome ſphere ſquare ſtand ſum taken THEOR theſe third thoſe thro touch triangle triangle ABC twice vertex Wherefore whole whoſe baſe
Beliebte Passagen
Seite 245 - 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 28 - 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 246 - 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 16 - 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 30 - 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 54 - 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 389 - 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 108 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Seite 128 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 181 - 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...