Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 3
... Whence it must be obferved , that the Big- nefs of Angles does not confift in the bigness of the two Lines that form them , ( which are called the Sides of the Angle ) but in the bigness of their Inclination , or bow- cing to one ...
... Whence it must be obferved , that the Big- nefs of Angles does not confift in the bigness of the two Lines that form them , ( which are called the Sides of the Angle ) but in the bigness of their Inclination , or bow- cing to one ...
Σελίδα 15
... Whence in the Triangles f 3 ax . BCE , BDC , the Angle ECB fhall be = DBC , ( which is the latter part of the Propofition to be de- monftrated ) and confequently the Angle EBC = DCB ; e ་ g what is DCB ; but the Angle ABF ACD Book I. IS ...
... Whence in the Triangles f 3 ax . BCE , BDC , the Angle ECB fhall be = DBC , ( which is the latter part of the Propofition to be de- monftrated ) and confequently the Angle EBC = DCB ; e ་ g what is DCB ; but the Angle ABF ACD Book I. IS ...
Σελίδα 19
... whence the Triangles DFC , EFC are mutually equilateral ; therefore & the SS . 1 . Angle DCF = ECF ; whence FC is a Perpen - h 10 def . dicular . Q. E. F. This and the following Problem are easily per- formed by means of a Square . PROP ...
... whence the Triangles DFC , EFC are mutually equilateral ; therefore & the SS . 1 . Angle DCF = ECF ; whence FC is a Perpen - h 10 def . dicular . Q. E. F. This and the following Problem are easily per- formed by means of a Square . PROP ...
Σελίδα 24
... whence the whole Angle BCD D : and fo BD f ( 8 BA + AC ) BC . Q.E. D. PROP . A D E B • BC . XXI . If from the Extreme Points of one Side ( BC ) of a Triangle ( ABC ) , two Lines ED , CD , be drawn to any Point within the Triangle ; then ...
... whence the whole Angle BCD D : and fo BD f ( 8 BA + AC ) BC . Q.E. D. PROP . A D E B • BC . XXI . If from the Extreme Points of one Side ( BC ) of a Triangle ( ABC ) , two Lines ED , CD , be drawn to any Point within the Triangle ; then ...
Σελίδα 30
... Whence AB and CD are parallel . Q.E.D. d I ax . e 27. I. e PRO P. XXXI . = A E B D From a given F Point ( A ) to draw a right Line AE , parallel to a right C Line BC given . From the Point A draw a right Line AD to any given Point of ...
... Whence AB and CD are parallel . Q.E.D. d I ax . e 27. I. e PRO P. XXXI . = A E B D From a given F Point ( A ) to draw a right Line AE , parallel to a right C Line BC given . From the Point A draw a right Line AD to any given Point of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 31 - 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.
Σελίδα 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Σελίδα 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Σελίδα 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Σελίδα 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.