The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 6-10 av 12
Side 99
... touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle , shall be equal to the angles which are in the alternate segments of the circle ...
... touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle , shall be equal to the angles which are in the alternate segments of the circle ...
Side 101
... touches the circle ; and because A B drawn from the point of contact A cuts the circle , the angle DAB is equal to the angle in the alternate segment AHB ( III . 32. ) . But the angle DAB is equal to the angle c , therefore also the ...
... touches the circle ; and because A B drawn from the point of contact A cuts the circle , the angle DAB is equal to the angle in the alternate segment AHB ( III . 32. ) . But the angle DAB is equal to the angle c , therefore also the ...
Side 102
... circle ABC that shall contain an angle equal to the angle D. Draw ( III . 17. ) the straight line EF touching the ... touches the circle A B C , and BC is drawn from the point of contact B , the angle FBC D is equal ( III . 32. ) to the ...
... circle ABC that shall contain an angle equal to the angle D. Draw ( III . 17. ) the straight line EF touching the ... touches the circle A B C , and BC is drawn from the point of contact B , the angle FBC D is equal ( III . 32. ) to the ...
Side 104
... circle , shall be equal to the square of the line which touches it . Let D be any point without the circle ABC , and DCA , DB two straight lines drawn from it , of which DCA cuts the circle , and DB touches the same 101 EUCLID'S ELEMENTS .
... circle , shall be equal to the square of the line which touches it . Let D be any point without the circle ABC , and DCA , DB two straight lines drawn from it , of which DCA cuts the circle , and DB touches the same 101 EUCLID'S ELEMENTS .
Side 105
Euclides Thomas Tate. DCA cuts the circle , and DB touches the same ; The rectangle AD , DC is equal to the square of DB . D Either DCA passes through the centre , or it does not ; first , let it pass through the centre E , and join EB ...
Euclides Thomas Tate. DCA cuts the circle , and DB touches the same ; The rectangle AD , DC is equal to the square of DB . D Either DCA passes through the centre , or it does not ; first , let it pass through the centre E , and join EB ...
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