Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 sider |
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Resultat 1-5 av 84
Side iii
... have been employed by the modern mathematicians to deli- ver them from blemishes , with which , it is certain , that they were not originally marked . Of these mathematicians , a 2 mathematicians , Dr SIMSON , as he may be ac- Lib comm.
... have been employed by the modern mathematicians to deli- ver them from blemishes , with which , it is certain , that they were not originally marked . Of these mathematicians , a 2 mathematicians , Dr SIMSON , as he may be ac- Lib comm.
Side xii
... these reasons , I would willingly referve it , or rather a compend of it , for a work on that analysis , which I have long meditated . Plane and Spherical Trigonometry , on the other hand , make a part of this volume , because , in ...
... these reasons , I would willingly referve it , or rather a compend of it , for a work on that analysis , which I have long meditated . Plane and Spherical Trigonometry , on the other hand , make a part of this volume , because , in ...
Side 2
... these ' two is somewhere upon one of those straight lines , and the other upon the other line : Thus the angle which is con- tained by the ftraight lines AB , CB , is named the angle ABC , of CBA ; that which is contained by AB , BD is ...
... these ' two is somewhere upon one of those straight lines , and the other upon the other line : Thus the angle which is con- tained by the ftraight lines AB , CB , is named the angle ABC , of CBA ; that which is contained by AB , BD is ...
Side 18
... these two straight lines fhall be in one and the fame ftraight line . At the point B in the ftraight line AB , let the two straight lines EC , BD upon the oppo- fite fides of AB , make the ad- jancent angles ABC , ABD e- qual together ...
... these two straight lines fhall be in one and the fame ftraight line . At the point B in the ftraight line AB , let the two straight lines EC , BD upon the oppo- fite fides of AB , make the ad- jancent angles ABC , ABD e- qual together ...
Side 18
... these equals ; therefore the angles CBE , EBD are equal c to the three angles CBA , ABE , EBD . Again , because the angle DBA is equal to the two angles DBE , EBA , add to thefe equals the angle ABC ; therefore the angles DBA , ABC are ...
... these equals ; therefore the angles CBE , EBD are equal c to the three angles CBA , ABE , EBD . Again , because the angle DBA is equal to the two angles DBE , EBA , add to thefe equals the angle ABC ; therefore the angles DBA , ABC are ...
Andre utgaver - Vis alle
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With Two ... Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD adjacent angles alfo alfo equal alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame ratio fame reaſon fecond fection fegment femicircle fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ſtraight line greater impoffible infcribed interfection join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſpace ſpherical triangle ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore
Populære avsnitt
Side 18 - 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...
Side 155 - 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.
Side 17 - If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Side 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 23 - 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.
Side 12 - ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore the angles at the base, &c.
Side 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 156 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Side 44 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced...