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 |
Dentro del libro
Resultados 1-5 de 61
Página 2
... straight lines to one another , which meet together , but are not in the same straight line . D B E- N.B. " When ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
... straight lines to one another , which meet together , but are not in the same straight line . D B E- N.B. " When ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is ...
Página 3
... line , which is called the cir- cumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII ...
... line , which is called the cir- cumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII ...
Página 5
... straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point ... equal to the same POSTULATES . 5.
... straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point ... equal to the same POSTULATES . 5.
Página 6
... equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ... straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meet ...
... equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ... straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meet ...
Página 7
... straight line . Let AB be the given straight line ; it is required to ... lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , ( Definition 15. ) 1. AC is equal ...
... straight line . Let AB be the given straight line ; it is required to ... lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , ( Definition 15. ) 1. AC is equal ...
Otras ediciones - Ver todas
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 THEOREM touches the circle triangle ABC twice the rectangle