The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Side 11
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
Side 12
... equal to one another , and likewise their sides CB , DB , and are termi- nated in B. Join CD ; then , in the case in which the vertex of each of the triangles is without the other tri- A ' D B angle , because AC is equal to AD , the angle ...
... equal to one another , and likewise their sides CB , DB , and are termi- nated in B. Join CD ; then , in the case in which the vertex of each of the triangles is without the other tri- A ' D B angle , because AC is equal to AD , the angle ...
Side 13
Euclides Thomas Tate. then is the angle B D C greater than the angle BCD . Again , because C B is equal to D B , the angle B DC is equal ( 1. 5. ) to the angle BCD ; but BDC has been proved to be greater than the same BCD , which is ...
Euclides Thomas Tate. then is the angle B D C greater than the angle BCD . Again , because C B is equal to D B , the angle B DC is equal ( 1. 5. ) to the angle BCD ; but BDC has been proved to be greater than the same BCD , which is ...
Side 14
... angle BAC coincides with the angle E D F , and is equal ( Ax . 8. ) to it . There- fore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be ...
... angle BAC coincides with the angle E D F , and is equal ( Ax . 8. ) to it . There- fore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be ...
Side 15
... equal parts . Describe ( 1. 1. ) upon it an equilateral triangle A B C , and bisect ( 1. 9. ) the angle A C B by the straight AB is cut into two equal parts in the line C D. point D. C Because AC is equal to C B , and CD common to the ...
... equal parts . Describe ( 1. 1. ) upon it an equilateral triangle A B C , and bisect ( 1. 9. ) the angle A C B by the straight AB is cut into two equal parts in the line C D. point D. C Because AC is equal to C B , and CD common 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