The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 1
... the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane rectilineal angle ...
... the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . " IX . A plane rectilineal angle ...
Side 3
... straight lines 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 ...
... straight lines 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 ...
Side 5
... 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 . I. Things which are equal to the same are equal to one another . II .
... 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 . I. Things which are equal to the same are equal to one another . II .
Side 6
Euclides Thomas Tate. XII . " If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually pro- duced ...
Euclides Thomas Tate. XII . " If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually pro- duced ...
Side 7
... straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to 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 ...
... straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to 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 ...
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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