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 1
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines . VII . A plane ...
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines . VII . A plane ...
Página 2
... angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . is the extremity of any thing . ” 辈 XIV . A figure is that which is inclosed 2 EUCLID'S ELEMENTS .
... angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . is the extremity of any thing . ” 辈 XIV . A figure is that which is inclosed 2 EUCLID'S ELEMENTS .
Página 11
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have ...
Página 12
Euclid, Samuel A. GOOD. terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. C E F C A B B Join CD . Then , in the case in which the vertex of each of the tri ...
Euclid, Samuel A. GOOD. terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. C E F C A B B Join CD . Then , in the case in which the vertex of each of the tri ...
Página 13
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity . But this is impossible ( I. 7. ) ; therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide ...
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity . But this is impossible ( I. 7. ) ; therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide ...
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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