The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
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Resultat 1-5 av 74
Side 7
... Therefore CA , AB , BC are equal to one another . Wherefore the triangle ABC is equilateral , and it is described on the given straight line AB . [ Axiom 1 . [ Def . 24 . Q.E.F. PROPOSITION 2. PROBLEM . From a given point to draw.
... Therefore CA , AB , BC are equal to one another . Wherefore the triangle ABC is equilateral , and it is described on the given straight line AB . [ Axiom 1 . [ Def . 24 . Q.E.F. PROPOSITION 2. PROBLEM . From a given point to draw.
Side 8
Isaac Todhunter. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line it is required to draw from the point A a straight line equal ...
Isaac Todhunter. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line it is required to draw from the point A a straight line equal ...
Side 15
Isaac Todhunter. Let BAC be the given rectilineal angle : it is required to bisect it . Take any point D in AB , and from AC cut off AE equal to AD ; [ I. 3 . join DE , and on DE , on the side remote from A , describe the equi- lateral ...
Isaac Todhunter. Let BAC be the given rectilineal angle : it is required to bisect it . Take any point D in AB , and from AC cut off AE equal to AD ; [ I. 3 . join DE , and on DE , on the side remote from A , describe the equi- lateral ...
Side 16
... a given straight line , from a given point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles to AB . A F E B Take any point D in AC ...
... a given straight line , from a given point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles to AB . A F E B Take any point D in AC ...
Side 17
... a common segment . PROPOSITION 12. PROBLEM . To draw a straight line 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 ...
... a common segment . PROPOSITION 12. PROBLEM . To draw a straight line 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 ...
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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