The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 16
to the angle EBA ; in the same manner , because A B D is a straight line , the angle D B E is equal to the angle E BA ; wherefore the angle DBE is equal to the angle CBE , the less to the greater , which is Ā impossible ; therefore two ...
to the angle EBA ; in the same manner , because A B D is a straight line , the angle D B E is equal to the angle E BA ; wherefore the angle DBE is equal to the angle CBE , the less to the greater , which is Ā impossible ; therefore two ...
Side 19
to the remaining angle A B D , the less to the greater , which is impossible ; therefore B E 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 ...
to the remaining angle A B D , the less to the greater , which is impossible ; therefore B E 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 ...
Side 20
... is equal to the angle E CF ; but the angle E cd is greater than the angle ECF ; therefore the angle Acd is greater than B A E. In the same manner , if the side bc be G A с D bisected , it may be demonstrated that 20 EUCLID'S ELEMENTS .
... is equal to the angle E CF ; but the angle E cd is greater than the angle ECF ; therefore the angle Acd is greater than B A E. In the same manner , if the side bc be G A с D bisected , it may be demonstrated that 20 EUCLID'S ELEMENTS .
Side 21
In like manner , it may be demonstrated , that B AC , AC B , as also C A B , A B C , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR .
In like manner , it may be demonstrated , that B AC , AC B , as also C A B , A B C , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR .
Side 23
side is opposite to the greater angle ; therefore the side DB is greater than the side BC ; but D B is equal to B A and AC ; therefore the sides B A , AC are greater than Bc . In the same manner it may be demonstrated , that the sides ...
side is opposite to the greater angle ; therefore the side DB is greater than the side BC ; but D B is equal to B A and AC ; therefore the sides B A , AC are greater than Bc . In the same manner it may be demonstrated , that the sides ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angle ABC angle ACB angle BAC angle equal base BC BC is equal bisect centre circle ABC circumference coincide common construct demonstrated describe diameter divided double draw equal angles equal to FB equilateral exterior angle extremity figure fore four given point given straight line greater impossible interior join less Let ABC likewise lines AC manner meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced Q. E. D. PROP rectangle A B rectangle contained remaining remaining angle right angles segment semicircle shown sides squares of AC straight line A B Take taken THEOR third touch touches the circle triangle ABC twice the rectangle Wherefore whole
Bibliografisk informasjon
| Tittel | The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate Gleig's sch. series |
| Forfatter | Euclides |
| Redaktør | Thomas Tate |
| distribuert | 1851 |
| Original fra | Oxford University |
| Digitalisert | 30. jan 2009 |
| Lengde | 139 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |