The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Side 52
Euclides Thomas Tate. equal to AB ; therefore the rectangle contained by AB , AC ... AC , CB , together with the square of BC . с Upon BC describe ( 1.46 . ) the ... squares of the two parts , together with twice the rectangle contained by ...
Euclides Thomas Tate. equal to AB ; therefore the rectangle contained by AB , AC ... AC , CB , together with the square of BC . с Upon BC describe ( 1.46 . ) the ... squares of the two parts , together with twice the rectangle contained by ...
Side 53
... AC , CB . Upon AB describe ( 1. 46. ) the square ADEB , and join BD , and through C draw ( I. 31. ) CGF parallel to ... squares of AC , CB ; and because the complement AG is equal ( 1. 43. ) to the complement GE , and that AG is the ...
... AC , CB . Upon AB describe ( 1. 46. ) the square ADEB , and join BD , and through C draw ( I. 31. ) CGF parallel to ... squares of AC , CB ; and because the complement AG is equal ( 1. 43. ) to the complement GE , and that AG is the ...
Side 54
Euclides Thomas Tate. is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. COR . From the demonstration , it is manifest that ...
Euclides Thomas Tate. is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. COR . From the demonstration , it is manifest that ...
Side 55
... square of CD , is equal to the square of CB . Wherefore , if a straight line , & c . Q. E. D. COR . From this proposition it is manifest , that the difference of the squares of two unequal lines AC , CD , is equal to the rectangle ...
... square of CD , is equal to the square of CB . Wherefore , if a straight line , & c . Q. E. D. COR . From this proposition it is manifest , that the difference of the squares of two unequal lines AC , CD , is equal to the rectangle ...
Side 56
... square of the other part . Let the straight line AB be divided into any two parts in the point c ; the squares of AB , BC are equal to twice the rectangle AB , BC , together with the square of AC . A C B G K Upon AB describe ( 1. 46. ) the ...
... square of the other part . Let the straight line AB be divided into any two parts in the point c ; the squares of AB , BC are equal to twice the rectangle AB , BC , together with the square of AC . A C B G K Upon AB describe ( 1. 46. ) the ...
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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