Elementary Geometry ... |
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Página 10
... rectilineal figure is a portion of a plane surface inclosed by straight lines . When there are more than three inclosing straight lines the figure is called a polygon . Def . 23. A polygon is said to be convex when no one of its angles ...
... rectilineal figure is a portion of a plane surface inclosed by straight lines . When there are more than three inclosing straight lines the figure is called a polygon . Def . 23. A polygon is said to be convex when no one of its angles ...
Página 81
... given side as base is the perpendicular distance between the base and the opposite side . Thus in the figure the perpendiculars DE , FG , or CH , which are equal ( by I. 28 ) since DEFG , DEHC are parallelograms , are each of them the ...
... given side as base is the perpendicular distance between the base and the opposite side . Thus in the figure the perpendiculars DE , FG , or CH , which are equal ( by I. 28 ) since DEFG , DEHC are parallelograms , are each of them the ...
Página 98
... quadrilateral figure be bisected , and the points of bisection joined , prove that the figure so formed will be a parallelogram equal in area to half the given quadrilateral . 15. Bisect a parallelogram by a line passing through any given ...
... quadrilateral figure be bisected , and the points of bisection joined , prove that the figure so formed will be a parallelogram equal in area to half the given quadrilateral . 15. Bisect a parallelogram by a line passing through any given ...
Página 99
... given angle , equal to a given triangle . ( 2 ) To construct on a given ... figure . ( 4 ) To construct a square equal to a given rectilineal figure . PROBLEM I. To construct a ... rectilineal figures, such as irregularly shaped fields ...
... given angle , equal to a given triangle . ( 2 ) To construct on a given ... figure . ( 4 ) To construct a square equal to a given rectilineal figure . PROBLEM I. To construct a ... rectilineal figures, such as irregularly shaped fields ...
Página 100
... III . To construct a parallelogram equal to a given rectilineal figure and having one of its angles equal to a given angle . * Euclid , I. 44 . Let ABCDE be the given rectilineal figure ; F the 100 [ BOOK II , ELEMENTARY GEOMETRY .
... III . To construct a parallelogram equal to a given rectilineal figure and having one of its angles equal to a given angle . * Euclid , I. 44 . Let ABCDE be the given rectilineal figure ; F the 100 [ BOOK II , ELEMENTARY GEOMETRY .
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Términos y frases comunes
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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