The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 2
... angle , that is , at the point in which the straight lines that con- tain the angle meet one another , is put ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
... angle , that is , at the point in which the straight lines that con- tain the angle meet one another , is put ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
Side 4
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but ...
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but ...
Side 8
... equal to the base EF ; B and the triangle ABC to the A.A CE T triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , 8 EUCLID'S ELEMENTS .
... equal to the base EF ; B and the triangle ABC to the A.A CE T triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , 8 EUCLID'S ELEMENTS .
Side 9
... equal to DE ( Hyp . ) ; and AB coinciding with DE , AC shall coincide with DF because the angle BAC is equal to the angle EDF ( Hyp . ) ; wherefore also the point c shall coincide with the point F , because the straight line AC is equal ...
... equal to DE ( Hyp . ) ; and AB coinciding with DE , AC shall coincide with DF because the angle BAC is equal to the angle EDF ( Hyp . ) ; wherefore also the point c shall coincide with the point F , because the straight line AC is equal ...
Side 10
... equal to a C , and let the straight lines A B , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from A E , the greater , cut off AG equal ( 1 ...
... equal to a C , and let the straight lines A B , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from A E , the greater , cut off AG equal ( 1 ...
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