The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 52
Side 5
... 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 . That a terminated straight line may be pro- duced to any length in a ...
... 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 . That a terminated straight line may be pro- duced to any length in a ...
Side 7
... produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . be equal to BC ...
... produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . be equal to BC ...
Side 9
... at the base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the BOOK I. 9 PROP . V.
... at the base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the BOOK I. 9 PROP . V.
Side 10
... produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from A E , the greater , cut off AG equal ( 1. 3. ) to AF , the less , and join FC , GB . D A B C G ...
... produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from A E , the greater , cut off AG equal ( 1. 3. ) to AF , the less , and join FC , GB . D A B C G ...
Side 12
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the tri- angle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 1. 5. ) to one another , but the angle ECD is greater than the angle BCD ...
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the tri- angle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 1. 5. ) to one another , but the angle ECD is greater than the angle BCD ...
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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