The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 6-10 av 52
Side 11
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle ACB ( Hyp ...
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle ACB ( Hyp ...
Side 16
... less to the greater , which is ☎ B D C impossible ; therefore two straight lines cannot have a common segment . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given ...
... less to the greater , which is ☎ B D C impossible ; therefore two straight lines cannot have a common segment . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given ...
Side 19
... less to the greater , which is impossible ; therefore BE is not in the same straight line with B C. And , in like manner , it may be demonstrated that no other can be in the same straight line with it but BD , which therefore is in the ...
... less to the greater , which is impossible ; therefore BE is not in the same straight line with B C. And , in like manner , it may be demonstrated that no other can be in the same straight line with it but BD , which therefore is in the ...
Side 21
... less than two right angles . A C D Let ABC be any triangle ; any two of its angles together are less than two right angles . Produce BC to D ; and be- cause A C D is the exterior angle of the triangle ABC , ACD is B greater ( 1. 16 ...
... less than two right angles . A C D Let ABC be any triangle ; any two of its angles together are less than two right angles . Produce BC to D ; and be- cause A C D is the exterior angle of the triangle ABC , ACD is B greater ( 1. 16 ...
Side 22
... less than it ; it is not equal , because then the angle ABC would be equal ( 1. 5. ) to the angle ACB ; but it is not ; therefore a C is not equal to A B ; neither is it less because then the angle ABC would be less ( 1. 18. ) than the ...
... less than it ; it is not equal , because then the angle ABC would be equal ( 1. 5. ) to the angle ACB ; but it is not ; therefore a C is not equal to A B ; neither is it less because then the angle ABC would be less ( 1. 18. ) than 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