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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Αποτελέσματα 6 - 10 από τα 15.
Σελίδα 64
... said to be equally distant from the centre of a circle , when the perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular EUCLID'S ELEMENTS OF GEOMETRY. ...
... said to be equally distant from the centre of a circle , when the perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular EUCLID'S ELEMENTS OF GEOMETRY. ...
Σελίδα 65
... perpendicular falls is said to be farther from the centre . VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . " The angle of a segment is that which is contained by the ...
... perpendicular falls is said to be farther from the centre . VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . " The angle of a segment is that which is contained by the ...
Σελίδα 80
... perpendicular to FA , and let it meet the circumference in H. F G H B And because AGD is a right angle , and DAG ... perpendicular AE . " And this is all that is to be understood , when , in the Greek text and translations from it , the ...
... perpendicular to FA , and let it meet the circumference in H. F G H B And because AGD is a right angle , and DAG ... perpendicular AE . " And this is all that is to be understood , when , in the Greek text and translations from it , the ...
Σελίδα 82
... perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take ( III . 1. ) the centre F , and draw the straight line FC ; FC is perpendicular to DE . D C G B For , if it be not ...
... perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take ( III . 1. ) the centre F , and draw the straight line FC ; FC is perpendicular to DE . D C G B For , if it be not ...
Σελίδα 96
... perpendicular to AC ; therefore ( III . 3. ) 1. AG is equal to GC ; wherefore ( II . 5. ) 2 . The rectangle AE , EC , together with the square of EG , is equal to the square of AG : to each of these equals add the square of GF 96 ...
... perpendicular to AC ; therefore ( III . 3. ) 1. AG is equal to GC ; wherefore ( II . 5. ) 2 . The rectangle AE , EC , together with the square of EG , is equal to the square of AG : to each of these equals add the square of GF 96 ...
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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