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 Seiten |
Im Buch
Ergebnisse 1-5 von 100
Seite 3
... drawn from a certain point within the figure to the circum- ference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a ftraight line drawn through the centre , and ...
... drawn from a certain point within the figure to the circum- ference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a ftraight line drawn through the centre , and ...
Seite 8
... draw the straight b . Poft . lines b CA , CB to the points A , B : ABC fhall finition . be an equilateral triangle ... draw a straight line equal to a given ftraight line . Let A be the given point , and BC the given ftraight line ; it ...
... draw the straight b . Poft . lines b CA , CB to the points A , B : ABC fhall finition . be an equilateral triangle ... draw a straight line equal to a given ftraight line . Let A be the given point , and BC the given ftraight line ; it ...
Seite 9
... draw a the straight line AB ; and upon it defcribe b the equilateral triangle DAB , and produce the straight lines DA ... drawn equal to the given straight line BC . Which was to be done . F PROP . III . PROB . ROM the greater of two ...
... draw a the straight line AB ; and upon it defcribe b the equilateral triangle DAB , and produce the straight lines DA ... drawn equal to the given straight line BC . Which was to be done . F PROP . III . PROB . ROM the greater of two ...
Seite 16
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the gi- ven point ...
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the gi- ven point ...
Seite 17
... drawn from the given point C , is perpendicular to the given straight line AB . C II . Def . I. Becaufe FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ...
... drawn from the given point C , is perpendicular to the given straight line AB . C II . Def . I. Becaufe FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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...
Seite 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.
Seite 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.
Seite 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Seite 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.
Seite 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.
Seite 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.
Seite 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 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...
Seite 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...