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 |
Inni boken
Resultat 1-5 av 35
Side 81
... circle ABC , and G the centre of ADE : The straight line which joins the points F , G fhall pals through the point ... touches it on the infide or outfide . 2 For , if it be poffible , let the circle EBF touch the circle ABC in more ...
... circle ABC , and G the centre of ADE : The straight line which joins the points F , G fhall pals through the point ... touches it on the infide or outfide . 2 For , if it be poffible , let the circle EBF touch the circle ABC in more ...
Side 86
... circle , and therefore the straight line AG cuts the circle . COR . From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it ...
... circle , and therefore the straight line AG cuts the circle . COR . From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it ...
Side 87
... touches the circle d . Ia PROP . XVIII . THEOR . [ F a ftraight line touches a circle , the straight line drawn from the centre to the point of contact , fhall be perpendicular to the line touching the circle . Let the straight line DE ...
... touches the circle d . Ia PROP . XVIII . THEOR . [ F a ftraight line touches a circle , the straight line drawn from the centre to the point of contact , fhall be perpendicular to the line touching the circle . Let the straight line DE ...
Side 88
... touches a circle , and from the point of contact a ftraight line be drawn at right angles to the touching line , the centre of the circle fhall be in that line . vie of 31 Let the ftraight line DE touch the circle ABC , in C , and from ...
... touches a circle , and from the point of contact a ftraight line be drawn at right angles to the touching line , the centre of the circle fhall be in that line . vie of 31 Let the ftraight line DE touch the circle ABC , in C , and from ...
Side 99
... touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle , fhall be equal to the angles which are in the alternate fegments of the circle ...
... touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle , fhall be equal to the angles which are in the alternate fegments of the circle ...
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...