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 70
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
Página 71
... circumference ; and BF is greater than CF , and CF than GF . Also there can be drawn only two equal straight lines from the point F to the circumference , one upon each side of the shortest line FD . At the point E , in the straight ...
... circumference ; and BF is greater than CF , and CF than GF . Also there can be drawn only two equal straight lines from the point F to the circumference , one upon each side of the shortest line FD . At the point E , in the straight ...
Página 72
... circumference , whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the nearer to it is always greater than the more ...
... circumference , whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the nearer to it is always greater than the more ...
Página 73
... circumference , one upon each side of the least . At the point M , in the straight line MD , make ( I. 23. ) the angle DMB equal to the angle DMK , and join DB . And because MK is equal to MB , and MD common to the triangle KMD , BMD ...
... circumference , one upon each side of the least . At the point M , in the straight line MD , make ( I. 23. ) the angle DMB equal to the angle DMK , and join DB . And because MK is equal to MB , and MD common to the triangle KMD , BMD ...
Página 74
... circumference FAB cut the circumference DEF in more than two points , viz . in B , G , F. A B Ꭰ H E K C Take the centre K ( III . 3. ) of the circle ABC , and join KB , KG , KF . And because within the circle DEF there is taken the ...
... circumference FAB cut the circumference DEF in more than two points , viz . in B , G , F. A B Ꭰ H E K C Take the centre K ( III . 3. ) of the circle ABC , and join KB , KG , KF . And because within the circle DEF there is taken the ...
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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