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 5
... angles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but ...
... angles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but ...
Página 9
... angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that the point △ may be on D ...
... angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that the point △ may be on D ...
Página 10
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . 2. The angle ACF is equal to the angle ABG , and the angle AFC to the angle AGB . And because the whole AF ...
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . 2. The angle ACF is equal to the angle ABG , and the angle AFC to the angle AGB . And because the whole AF ...
Página 11
... opposite to , the equal angles , shall be equal to one another . 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 ...
... opposite to , the equal angles , shall be equal to one another . 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 ...
Página 17
... angles , or are together equal to two right angles . E D B D B Ꮹ For , if the angle CBA be equal to ABD , each of ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be ...
... angles , or are together equal to two right angles . E D B D B Ꮹ For , if the angle CBA be equal to ABD , each of ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be ...
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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