Elementary Geometry ... |
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Página 7
... on that other part . Def . 6. A plane surface , or plane , is a surface in which any two points being taken the straight line that joins them lies wholly in that surface . Def . 7. A plane figure is a portion of BOOK I. ...
... on that other part . Def . 6. A plane surface , or plane , is a surface in which any two points being taken the straight line that joins them lies wholly in that surface . Def . 7. A plane figure is a portion of BOOK I. ...
Página 8
... figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . This point is called the centre of the ...
... figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . This point is called the centre of the ...
Página 10
... figure is called a polygon . Def . 23. A polygon is said to be convex when no one of its angles is reflex . Def . 24 ... figure is the sum of its sides . Def . 27. The area of a figure is the space inclosed by its boundary . Def . 28. A ...
... figure is called a polygon . Def . 23. A polygon is said to be convex when no one of its angles is reflex . Def . 24 ... figure is the sum of its sides . Def . 27. The area of a figure is the space inclosed by its boundary . Def . 28. A ...
Página 13
... figure , made up of the angles ABD and DBC ; ( Def . 12. ) therefore the angles ABD and DBC are together equal to two right angles . Q. E. D. Eucl . I. 13 . THEOREM 3 . If the adjacent angles made by one SECT . I. ] 13 ANGLES AT A POINT .
... figure , made up of the angles ABD and DBC ; ( Def . 12. ) therefore the angles ABD and DBC are together equal to two right angles . Q. E. D. Eucl . I. 13 . THEOREM 3 . If the adjacent angles made by one SECT . I. ] 13 ANGLES AT A POINT .
Página 14
... figure , make up the angle ABC ; therefore ABC is an angle of two right angles ; and therefore ABC is a straight line . ( Def . 14. ) THEOREM 4 . Q. E. D. If two straight lines cut one another the vertically opposite angles will be ...
... figure , make up the angle ABC ; therefore ABC is an angle of two right angles ; and therefore ABC is a straight line . ( Def . 14. ) THEOREM 4 . Q. E. D. If two straight lines cut one another the vertically opposite angles will be ...
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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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