The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 32
Side 6
... describe an equilateral triangle upon a given finite straight line . C Let A B be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postu- late 3 ...
... describe an equilateral triangle upon a given finite straight line . C Let A B be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postu- late 3 ...
Side 7
... describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the ...
... describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the ...
Side 8
... 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 . 15. ) ; but the straight line c is likewise equal to AD ( Constr . ) ; whence AE and c are each of ...
... 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 . 15. ) ; but the straight line c is likewise equal to AD ( Constr . ) ; whence AE and c are each of ...
Side 14
... describe ( 1. 1. ) an equilateral tri- angle DEF ; then join AF ; the straight line AF bisects the triangle BA C. Because A D is equal to A E , and AF is common to the two triangles DAF , EAF ; the two sides DA , A F , are equal to the ...
... describe ( 1. 1. ) an equilateral tri- angle DEF ; then join AF ; the straight line AF bisects the triangle BA C. Because A D is equal to A E , and AF is common to the two triangles DAF , EAF ; the two sides DA , A F , are equal to the ...
Side 15
... 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 two triangles ...
... 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 two triangles ...
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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