Elementary Geometry ... |
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Page 10
... opposite angles made by two straight lines that intersect are called vertically opposite angles . Def . 22. A plane ... sides and angles are equal . Def . 25. A diagonal is the straight line joining the vertices of any angles of a polygon ...
... opposite angles made by two straight lines that intersect are called vertically opposite angles . Def . 22. A plane ... sides and angles are equal . Def . 25. A diagonal is the straight line joining the vertices of any angles of a polygon ...
Page 16
... opposite sides of AOC , are also in the same straight line . 12. If the corner of the page of a book be folded down so as to form an oblique crease , prove that the bisector of the angle between the parts of the edge that meet at the ...
... opposite sides of AOC , are also in the same straight line . 12. If the corner of the page of a book be folded down so as to form an oblique crease , prove that the bisector of the angle between the parts of the edge that meet at the ...
Page 18
... sides equal . Def . 31. A right - angled triangle is that which has one of ... opposite to the right angle is called the hypotenuse . Def . 34. Figures ... sides of the one equal to two sides of the other , each to each , and have ...
... sides equal . Def . 31. A right - angled triangle is that which has one of ... opposite to the right angle is called the hypotenuse . Def . 34. Figures ... sides of the one equal to two sides of the other , each to each , and have ...
Page 21
... side of the other , and the angles at the extremities of those sides equal , each to each , then the triangles are equal in all respects , those sides being equal which are opposite to the equal angles * . Part . En . Let the triangles ...
... side of the other , and the angles at the extremities of those sides equal , each to each , then the triangles are equal in all respects , those sides being equal which are opposite to the equal angles * . Part . En . Let the triangles ...
Page 22
... opposite angles . Part . En . Let ABC be a triangle , and let one of its sides BC be produced to D ; it is required to prove that the exterior angle ACD is greater than either of the interior and opposite angles CAB or ABC . * Euclid ...
... opposite angles . Part . En . Let ABC be a triangle , and let one of its sides BC be produced to D ; it is required to prove that the exterior angle ACD is greater than either of the interior and opposite angles CAB or ABC . * Euclid ...
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Common terms and phrases
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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