The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 1-5 av 49
Side 5
... Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II ...
... Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II ...
Side 30
... parallel . Let the straight line EF , which falls upon the two straight lines A B , C D , make the alternate angles A E F , E F D equal to one another ; A B is parallel to C D. For , if it be not parallel , A B and CD being produced ...
... parallel . Let the straight line EF , which falls upon the two straight lines A B , C D , make the alternate angles A E F , E F D equal to one another ; A B is parallel to C D. For , if it be not parallel , A B and CD being produced ...
Side 31
... parallel to CD ( I. 27. ) . Wherefore if a straight line , & c . Q. E. D. PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal ...
... parallel to CD ( I. 27. ) . Wherefore if a straight line , & c . Q. E. D. PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal ...
Side 32
... parallel by the hypo- thesis ; therefore the angle AGH is not unequal to the angle GHD , that is , it is equal to it ... parallel to the same straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; A B is ...
... parallel by the hypo- thesis ; therefore the angle AGH is not unequal to the angle GHD , that is , it is equal to it ... parallel to the same straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; A B is ...
Side 33
... parallel ( 1. 27. ) to CD . Wherefore straight lines , & c . Q. E. D. PROP . XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . А Let A be the given point , and BC the given straight line ...
... parallel ( 1. 27. ) to CD . Wherefore straight lines , & c . Q. E. D. PROP . XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . А Let A be the given point , and BC the given straight line ...
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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