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 1 - 5 από τα 15.
Σελίδα 2
... perpendicular to it . XI . An obtuse 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 ...
... perpendicular to it . XI . An obtuse 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 ...
Σελίδα 16
... perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
... perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
Σελίδα 60
... perpendicular falls , and the straight line intercepted without the triangle , between the perpendicular and the obtuse angle . Let ABC be an obtuse - angled triangle , having the obtuse angle ACB ; and from the point A let AD be drawn ...
... perpendicular falls , and the straight line intercepted without the triangle , between the perpendicular and the obtuse angle . Let ABC be an obtuse - angled triangle , having the obtuse angle ACB ; and from the point A let AD be drawn ...
Σελίδα 61
... perpendicular let fall upon it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B one of its acute angles ; and upon BC , one of the sides containing it , let fall ( I. 12. ) the perpen- dicular ...
... perpendicular let fall upon it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B one of its acute angles ; and upon BC , one of the sides containing it , let fall ( I. 12. ) the perpen- dicular ...
Σελίδα 62
... perpendicular to BC . B C Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest that ( I. 47. ) The squares of AB , BC , are equal to the square of AC , and twice the square of BC ...
... perpendicular to BC . B C Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest that ( I. 47. ) The squares of AB , BC , are equal to the square of AC , and twice the square of BC ...
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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