The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Side 3
... drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and ...
... drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and ...
Side 5
... drawn from any one point to any other point . II . That a terminated straight line may be pro- duced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
... drawn from any one point to any other point . II . That a terminated straight line may be pro- duced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
Side 6
... draw the straight lines ( Post . 1. ) CA , CB , to the points A , B ; ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal ( Definition 15. ) to AB ; and because the point B is the ...
... draw the straight lines ( Post . 1. ) CA , CB , to the points A , B ; ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal ( Definition 15. ) to AB ; and because the point B is the ...
Side 7
... draw from the point A a straight line equal to BC . B K Ꭰ From the point A to B draw ( Post . 1. ) the straight line AB ; and upon it describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA ...
... draw from the point A a straight line equal to BC . B K Ꭰ From the point A to B draw ( Post . 1. ) the straight line AB ; and upon it describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA ...
Side 8
... draw ( 1. 2. ) the straight line AD equal to C ; and E B from the centre A , and at the distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to c . Because A is the centre of the circle DEF , AE is equal to AD ( Def ...
... draw ( 1. 2. ) the straight line AD equal to C ; and E B from the centre A , and at the distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to c . Because A is the centre of the circle DEF , AE is equal to AD ( Def ...
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