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 19
Side 16
... manner , because A B D is a straight line , the angle DBE is equal to the angle E BA ; wherefore the angle DBE is equal to the angle CBE , the less to the greater , which is ☎ B D C impossible ; therefore two straight lines cannot have ...
... manner , because A B D is a straight line , the angle DBE is equal to the angle E BA ; wherefore the angle DBE is equal to the angle CBE , the less to the greater , which is ☎ B D C impossible ; therefore two straight lines cannot have ...
Side 19
... manner , it may be demonstrated that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . If two straight lines ...
... manner , it may be demonstrated that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . If two straight lines ...
Side 20
... to the angle ECF ; but the angle E CD is greater than the angle ECF ; therefore the angle ACD is greater than BA E. In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG 20 EUCLID'S ELEMENTS .
... to the angle ECF ; but the angle E CD is greater than the angle ECF ; therefore the angle ACD is greater than BA E. In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG 20 EUCLID'S ELEMENTS .
Side 21
... manner , it may be demonstrated , that BAC , AC B , as also CAB , ABC , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater ...
... manner , it may be demonstrated , that BAC , AC B , as also CAB , ABC , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater ...
Side 23
... manner it may be demonstrated , that the sides A B , B C are greater than CA , and B C , CA greater than a B. Therefore any two sides , & c . Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn ...
... manner it may be demonstrated , that the sides A B , B C are greater than CA , and B C , CA greater than a B. Therefore any two sides , & c . Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
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