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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Side 27
... two angles of the one equal to two angles of the other , each to each ; and one fide equal to one fide , viz . either the fides adjacent to the equal angles , or the fides oppofite to the equal angles in each ; then fhall the other ...
... two angles of the one equal to two angles of the other , each to each ; and one fide equal to one fide , viz . either the fides adjacent to the equal angles , or the fides oppofite to the equal angles in each ; then fhall the other ...
Side 113
... two angles of the one equal to two angles of the other ; and the fide BD , which is oppofite to one of the equal B E A G angles in each , is common to both ; therefore their other fides are equal ; wherefore DE is equal to DF . For the ...
... two angles of the one equal to two angles of the other ; and the fide BD , which is oppofite to one of the equal B E A G angles in each , is common to both ; therefore their other fides are equal ; wherefore DE is equal to DF . For the ...
Side 253
... right angles by con- ftruction ; wherefore , the triangles GMK , GMN have two angles of the one equal to two angles of the other , and they Book VIII . arch intercepted between them ; and hence have OF GEOMETRY . 253 Book VIII. ...
... right angles by con- ftruction ; wherefore , the triangles GMK , GMN have two angles of the one equal to two angles of the other , and they Book VIII . arch intercepted between them ; and hence have OF GEOMETRY . 253 Book VIII. ...
Side 253
... GMK , GMN are both right angles by con- struction ; wherefore , the triangles GMK , GMN have two angles of the one equal to two angles of the other , and they c 26. I. d 4 I. Book VIII . have have OF GEOMETRY . 253 Book VIII. ...
... GMK , GMN are both right angles by con- struction ; wherefore , the triangles GMK , GMN have two angles of the one equal to two angles of the other , and they c 26. I. d 4 I. Book VIII . have have OF GEOMETRY . 253 Book VIII. ...
Side 315
... two angles of the one equal to two angles of the other , and they have alfo the fide AG common , wherefore they are equal , and the fide AF is equal to the fide AE . " Y 2 Again , Again , because the triangles ADF , ADE are right ...
... two angles of the one equal to two angles of the other , and they have alfo the fide AG common , wherefore they are equal , and the fide AF is equal to the fide AE . " Y 2 Again , Again , because the triangles ADF , ADE are right ...
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...