The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 36
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them in two equal parts . N.B.— A parallelogram is a four - sided figure , of which the opposite sides are ...
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them in two equal parts . N.B.— A parallelogram is a four - sided figure , of which the opposite sides are ...
Side 37
to the triangle BCD , and the diameter Bc divides the parallelogram ACDB into two equal parts . Q. E. D. EBCF . PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another .
to the triangle BCD , and the diameter Bc divides the parallelogram ACDB into two equal parts . Q. E. D. EBCF . PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another .
Side 38
nated in the same point ; then , because ABCD is a parallelogram , Ad is equal ( 1. 34. ) to BC ; for the А D E F А E D. F 2 3 13 B с same reason EF is equal to BC ; wherefore AD is equal ( Ax . 1. ) to EF ; and DE is common ; therefore ...
nated in the same point ; then , because ABCD is a parallelogram , Ad is equal ( 1. 34. ) to BC ; for the А D E F А E D. F 2 3 13 B с same reason EF is equal to BC ; wherefore AD is equal ( Ax . 1. ) to EF ; and DE is common ; therefore ...
Side 39
therefore EB , ch are both equal and parallel , and EBCH is a parallelogram ; and it is equal ( 1. 35. ) to ABCD , because it is upon the same base bc , and between the same parallels BC , AD : For the like reason , the parallelogram ...
therefore EB , ch are both equal and parallel , and EBCH is a parallelogram ; and it is equal ( 1. 35. ) to ABCD , because it is upon the same base bc , and between the same parallels BC , AD : For the like reason , the parallelogram ...
Side 40
to ca , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is parallelogram ; and they are equal to ( 1. 36. ) one another , because they are upon equal bases BC , EF , and between the same parallels BF ...
to ca , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is parallelogram ; and they are equal to ( 1. 36. ) one another , because they are upon equal bases BC , EF , and between the same parallels BF ...
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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 |