The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 11-15 av 26
Side 57
... square of AC ; therefore the gnomon AKF , together with the squares CK , HF , is equal to twice the rectangle AB , BC , and the square of AC : But the gnomon AK F , together with the squares CK , HF , make up the whole figure ADEB and ...
... square of AC ; therefore the gnomon AKF , together with the squares CK , HF , is equal to twice the rectangle AB , BC , and the square of AC : But the gnomon AK F , together with the squares CK , HF , make up the whole figure ADEB and ...
Side 58
... square of AC ; Therefore four times the rectangle AB , BC , together with the square of AC , is equal to the gnomon AOH and the square XH : But the gnomon AOH and xí make up the figure AEFD , which is the square of AD : Therefore four ...
... square of AC ; Therefore four times the rectangle AB , BC , together with the square of AC , is equal to the gnomon AOH and the square XH : But the gnomon AOH and xí make up the figure AEFD , which is the square of AD : Therefore four ...
Side 59
... squares of AC , CD . A E C D B From the point c draw ( 1. 11. ) CE at right angles to AB , and make it equal to AC or CB , and join EA , EB ; through D draw ( 1. 31. ) DF parallel to CE , and through F draw FG parallel to AB ; and join ...
... squares of AC , CD . A E C D B From the point c draw ( 1. 11. ) CE at right angles to AB , and make it equal to AC or CB , and join EA , EB ; through D draw ( 1. 31. ) DF parallel to CE , and through F draw FG parallel to AB ; and join ...
Side 60
Euclides Thomas Tate. AC : But the square of EA is equal ( 1. 47. ) to the square of AC , CE , because ACE is a right ... squares of EG , GF are double of the square of GF ; but the square of EF is equal to the squares of EG , GF ...
Euclides Thomas Tate. AC : But the square of EA is equal ( 1. 47. ) to the square of AC , CE , because ACE is a right ... squares of EG , GF are double of the square of GF ; but the square of EF is equal to the squares of EG , GF ...
Side 61
... AC is equal to CE , the angle CEA is equal ( 1.5 . ) to the angle EAC ; and the angle ACE is a right angle ... squares of EC , CA are double of the square of ca : But the square of EA is equal ( 1. 47. ) to the squares of EC , CA ...
... AC is equal to CE , the angle CEA is equal ( 1.5 . ) to the angle EAC ; and the angle ACE is a right angle ... squares of EC , CA are double of the square of ca : But the square of EA is equal ( 1. 47. ) to the squares of EC , CA ...
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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