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 28
Side 69
... touch a circle , when it meets the circle , and be- ing produced does not cut it . II . Circles are faid to touch one another , which meet , but do not cut one another . III . Sraight lines are faid to be equally di- ftant from the ...
... touch a circle , when it meets the circle , and be- ing produced does not cut it . II . Circles are faid to touch one another , which meet , but do not cut one another . III . Sraight lines are faid to be equally di- ftant from the ...
Side 74
... touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another inter- nally in the point C : they have not the fame centre . For , " For , if they can , let it be 74 ELEMENTS.
... touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another inter- nally in the point C : they have not the fame centre . For , " For , if they can , let it be 74 ELEMENTS.
Side 80
... touch each other internally , the Iftraight line which joins their centres being pro duced , fhall pass through the point of contact . Let the two circles ABC , ADE , touch each other internal- ly in the point A , and let F be the ...
... touch each other internally , the Iftraight line which joins their centres being pro duced , fhall pass through the point of contact . Let the two circles ABC , ADE , touch each other internal- ly in the point A , and let F be the ...
Side 81
... touch another in more points than one , whether it touches it on the infide or outfide . 2 For , if it be poffible , let the circle EBF touch the circle ABC in more points than one , and first on the infide , in the points B , D ; join ...
... touch another in more points than one , whether it touches it on the infide or outfide . 2 For , if it be poffible , let the circle EBF touch the circle ABC in more points than one , and first on the infide , in the points B , D ; join ...
Side 82
... touch another on the infide in more points than one . K Nor can two circles touch one another on the outfide in more than one point : For , if it be poffible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
... touch another on the infide in more points than one . K Nor can two circles touch one another on the outfide in more than one point : For , if it be poffible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
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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...