The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
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Resultat 1-5 av 66
Side 2
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any 2 EUCLID'S ELEMENTS .
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any 2 EUCLID'S ELEMENTS .
Side 17
... 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 pro- duced to any length both ways , and let C be the given point without it it is required ...
... 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 pro- duced to any length both ways , and let C be the given point without it it is required ...
Side 67
... 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 ...
Side 68
... perpendicular let fall on it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the opposite angle ...
... perpendicular let fall on it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the opposite angle ...
Side 69
... perpendicular to BC . Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest , that the squares on AB , BC are equal to the square on AC , and twice the square on BC . [ I. 47 and Ax . 2 ...
... perpendicular to BC . Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest , that the squares on AB , BC are equal to the square on AC , and twice the square on BC . [ I. 47 and Ax . 2 ...
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore