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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... AB , CB , is named the angle ÃBC , or CBA ; that which is contained by AB , BD , is named the angle ABD , or DBÁ ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
... AB , CB , is named the angle ÃBC , or CBA ; that which is contained by AB , BD , is named the angle ABD , or DBÁ ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
Página 7
... equal to AB ; 1 . and because the point B is the centre of the circle ACE , 2 . BC is equal to BA . But it has been proved that CA is equal to AB ; therefore CA , CB , are each of them equal to AB ; but things which are equal to the same ...
... equal to AB ; 1 . and because the point B is the centre of the circle ACE , 2 . BC is equal to BA . But it has been proved that CA is equal to AB ; therefore CA , CB , are each of them equal to AB ; but things which are equal to the same ...
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... equal to BG ; and because D is the centre of the circle GLK , 2. DL is equal to DG ; 3 . and DA , DB , parts of them ... AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the ...
... equal to BG ; and because D is the centre of the circle GLK , 2. DL is equal to DG ; 3 . and DA , DB , parts of them ... AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the ...
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... equal sides are opposite . 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 ...
... equal sides are opposite . 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 ...
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... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be ...
... equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be ...
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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