The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 23
... AC ; therefore the sides BA , A C are greater than B C. In the same manner it may be demonstrated , that the sides ... lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a ...
... AC ; therefore the sides BA , A C are greater than B C. In the same manner it may be demonstrated , that the sides ... lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a ...
Side 30
... AC ; but those straight lines which meet neither way , though produced ever so far , are par- allel ( Def . 35. ) to one another . AB therefore is parallel to CD . Wherefore if a straight line , & c . Q. E. D. PROP . XXVIII . THEOR . If ...
... AC ; but those straight lines which meet neither way , though produced ever so far , are par- allel ( Def . 35. ) to one another . AB therefore is parallel to CD . Wherefore if a straight line , & c . Q. E. D. PROP . XXVIII . THEOR . If ...
Side 34
... line AB ; and because AB is parallel to CE , and AC meets them , the alternate B angles BAC , ACE are equal ( 1. 29 ... lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of ...
... line AB ; and because AB is parallel to CE , and AC meets them , the alternate B angles BAC , ACE are equal ( 1. 29 ... lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of ...
Side 35
... lines AC , BD ; AC , BD are also equal and parallel . C B D Join BC ; and because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal ( 1. 29. ) ; and because AB is equal to CD ( Hyp . ) , and BC common ...
... lines AC , BD ; AC , BD are also equal and parallel . C B D Join BC ; and because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal ( 1. 29. ) ; and because AB is equal to CD ( Hyp . ) , and BC common ...
Side 36
... line BC meets the two straight lines AC , BD , and makes the alternate angles ACB , CBD equal to one another , ac is parallel ( I. 27. ) to BD ; and it was shown to be equal to it . Therefore , straight lines , & c . Q. E. D. PROP ...
... line BC meets the two straight lines AC , BD , and makes the alternate angles ACB , CBD equal to one another , ac is parallel ( I. 27. ) to BD ; and it was shown to be equal to it . Therefore , straight lines , & c . Q. E. D. PROP ...
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The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle