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 σελίδες |
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Σελίδα 40
... ABCD be a parallelogram , of which the diameter is AC , and EH , FG , the parallelograms about AC , that is , through which AC passes , and BK , KD , the other parallelograms which make up the whole figure ABCD , which are therefore ...
... ABCD be a parallelogram , of which the diameter is AC , and EH , FG , the parallelograms about AC , that is , through which AC passes , and BK , KD , the other parallelograms which make up the whole figure ABCD , which are therefore ...
Σελίδα 42
... ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB ; and describe ( I. 42. ) the parallelogram FH equal to the ...
... ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB ; and describe ( I. 42. ) the parallelogram FH equal to the ...
Σελίδα 43
... ABCD is equal to the whole parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it ...
... ABCD is equal to the whole parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it ...
Σελίδα 68
... ABCD be a circle , and AC , BD , two straight lines in it which cut one another in the point E , and do not both pass through the centre ; AC , BD , do not bisect one another . F D A B E For , if it be possible , let AE be equal to EC ...
... ABCD be a circle , and AC , BD , two straight lines in it which cut one another in the point E , and do not both pass through the centre ; AC , BD , do not bisect one another . F D A B E For , if it be possible , let AE be equal to EC ...
Σελίδα 70
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E : of all the straight lines FB , FC , FG , & c . , that can be drawn from F to the circumference , FA is the ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E : of all the straight lines FB , FC , FG , & c . , that can be drawn from F to the circumference , FA is the ...
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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