The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 páginas |
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Página 7
... Let AB be the given straight line ; it is required to describe an equi ... ABC shall be an equilateral triangle . C E Because the point A is the centre ... ABC is equilateral ; and it is described upon the given straight line AB . Which ...
... Let AB be the given straight line ; it is required to describe an equi ... ABC shall be an equilateral triangle . C E Because the point A is the centre ... ABC is equilateral ; and it is described upon the given straight line AB . Which ...
Página 9
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and ...
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and ...
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 angle CBD to the angle BCE . A B F G E D In ...
... 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 angle CBD to the angle BCE . A B F G E D In ...
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 AC . Ꭰ B C For if AB be not equal to AC , 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 AC . Ꭰ B C For if AB be not equal to AC , one of them is greater than the other . Let AB be the greater , and from it cut off ( I ...
Página 12
... 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 .
... 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 AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle