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Side 75
... LOCI . When a point has to be found which satisfies two con- ditions , the problem is generally determinate if it is possible : and the method of loci is very frequently employed in dis- covering the point . For if the locus of points ...
... LOCI . When a point has to be found which satisfies two con- ditions , the problem is generally determinate if it is possible : and the method of loci is very frequently employed in dis- covering the point . For if the locus of points ...
Side 76
... loci do not intersect , or the solution becomes impossible . So in the case given , it will not be difficult to see ... locus of a point satisfying the condition Y ; then the intersections of A and B , and these points only , satisfy ...
... loci do not intersect , or the solution becomes impossible . So in the case given , it will not be difficult to see ... locus of a point satisfying the condition Y ; then the intersections of A and B , and these points only , satisfy ...
Side 77
... as a way of searching for a suggestion , and nothing but experience and ingenuity will here avail the student . The solution is supposed to be effected , and relations among the parts SECT . V. ] 77 INTERSECTION OF LOCI .
... as a way of searching for a suggestion , and nothing but experience and ingenuity will here avail the student . The solution is supposed to be effected , and relations among the parts SECT . V. ] 77 INTERSECTION OF LOCI .
Side 97
... locus of the vertices of triangles of equal area upon the same base . 4. If the sides of a triangle are 3 , 4 , 5 inches re- spectively , the triangle is right - angled . 5. Of all triangles having the same vertical angle , and whose ...
... locus of the vertices of triangles of equal area upon the same base . 4. If the sides of a triangle are 3 , 4 , 5 inches re- spectively , the triangle is right - angled . 5. Of all triangles having the same vertical angle , and whose ...
Side 106
... locus of a point which moves so that the sum of the squares of its distances from two given points is constant . We subjoin a few problems and theorems as miscel- laneous exercises in the Geometry of angles , lines , triangles ...
... locus of a point which moves so that the sum of the squares of its distances from two given points is constant . We subjoin a few problems and theorems as miscel- laneous exercises in the Geometry of angles , lines , triangles ...
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Vanlige uttrykk og setninger
ABCD angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal
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