Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Resultat 1-5 av 22
Side 65
... perpendicular is the least . Min . We will take that as proved . Nie . We then deduce that the perpendicular is the shortest path from a point to a Line . Next comes a Definition . ' By the distance of a point from a straight line is ...
... perpendicular is the least . Min . We will take that as proved . Nie . We then deduce that the perpendicular is the shortest path from a point to a Line . Next comes a Definition . ' By the distance of a point from a straight line is ...
Side 66
... perpendicular let fall upon it from the given point . ' Min . What is your next step ? NIEMAND reads . P. 33. Ded . G. ' If points be taken along one of the arms of an angle farther and farther from the vertex , their dis- tances from ...
... perpendicular let fall upon it from the given point . ' Min . What is your next step ? NIEMAND reads . P. 33. Ded . G. ' If points be taken along one of the arms of an angle farther and farther from the vertex , their dis- tances from ...
Side 67
... perpendicular , each is equidistant from the other . Min . ( aside ) st , PE . ' ( aloud ) What then ? Nie . Next , that any Line intersecting one of these will intersect the other ( p . 35 ) . Min . That , I think , depends on ...
... perpendicular , each is equidistant from the other . Min . ( aside ) st , PE . ' ( aloud ) What then ? Nie . Next , that any Line intersecting one of these will intersect the other ( p . 35 ) . Min . That , I think , depends on ...
Side 108
... perpendicular to another straight Line when it makes a right angle with it . Hence there can be only one perpendicular to a given Line at a given point , on one side of that Line , because only one Line can make a right angle with the ...
... perpendicular to another straight Line when it makes a right angle with it . Hence there can be only one perpendicular to a given Line at a given point , on one side of that Line , because only one Line can make a right angle with the ...
Side 111
... perpendicular to FC drawn through A. ' ' ( 5 ) Vertical angles together greater than two right angles . This also requires a new proof , as we must insert , after the words ' the bisector of the angle FAC , the words ' produced through ...
... perpendicular to FC drawn through A. ' ' ( 5 ) Vertical angles together greater than two right angles . This also requires a new proof , as we must insert , after the words ' the bisector of the angle FAC , the words ' produced through ...
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Vanlige uttrykk og setninger
adjacent angles angles are equal assert assumed axiomatic beginners bisect CHAUVENET coincide common point contranominal course CUTHBERTSON deduced define definition demonstrated different directions Different Lines discussed doppelgänger drawn Elementary Geometry equal angles equal ext Euclid Euclid's Theorems examination finite Lines given Line given point grant interpolated Intersectional Lines LEGENDRE Lines are equidistant Lines make equal magnitude Manual mathematical meet if produced MINOS Modern Rivals NIEMAND reads old proof omission omitted Pair of Lines parallelogram perpendicular Petitio Principii Plane Geometry Playfair's Axiom Pref Problems and Theorems proof of Euc Prop propositions proved right angles Right Lines sD'-related Lines separational Lines sides straight angle straight Line suppose Syllabus TABLES I-IV Th Th third Line tion transversal Treatment of Parallels triangle true unequal University College School Wilson words writer دو وو