The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 1-5 av 32
Side 3
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
Side 36
... diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . C B D ...
... diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . C B D ...
Side 37
... diameter bisects them ; for AB being equal to CD , and BC common , the two A B , BC are equal to the two DC , CB , each to each ; and the angle ABC is equal to the angle BCD ; therefore the triangle ABC is equal ( 1. 4. ) to the ...
... diameter bisects them ; for AB being equal to CD , and BC common , the two A B , BC are equal to the two DC , CB , each to each ; and the angle ABC is equal to the angle BCD ; therefore the triangle ABC is equal ( 1. 4. ) to the ...
Side 39
... diameter A B bisects it ( 1. 34. ) ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it : But the halves of equal things are equal ( Ax . 7. ) ; therefore the triangle ABC is equal to the ...
... diameter A B bisects it ( 1. 34. ) ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it : But the halves of equal things are equal ( Ax . 7. ) ; therefore the triangle ABC is equal to the ...
Side 40
... diameter A B bisects it ; and the triangle DEF is the half ( 1. 34. ) of the parallelogram DEH , because the diameter DF bisects it : But the halves of equal things are equal ( Ax . 7. ) ; therefore the triangle ABC is equal to the ...
... diameter A B bisects it ; and the triangle DEF is the half ( 1. 34. ) of the parallelogram DEH , because the diameter DF bisects it : But the halves of equal things are equal ( Ax . 7. ) ; therefore the triangle ABC is equal to the ...
Andre utgaver - Vis alle
The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
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