The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Página 7
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB ... the straight lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle .
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB ... the straight lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle .
Página 9
Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to each , viz . ... and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to each , viz . ... and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Página 10
Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , and the apgle CBD to the angle BCE .
Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , and the apgle CBD to the angle BCE .
Página 11
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AČ . A D B For if AB be not equal to 4C , one of them is greater than the other . Let AB be the greater , and from it cut off ( I.
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AČ . A D B For if AB be not equal to 4C , one of them is greater than the other . Let AB be the greater , and from it cut off ( I.
Página 12
... their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF , be two triangles having the 12 EUCLID'S ELEMENTS .
... their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF , be two triangles having the 12 EUCLID'S ELEMENTS .
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Términos y frases comunes
AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole