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Page 68
... similar remark may be made on the other cases we have con- sidered . But there are cases in which the data may be insufficient to deter- mine the triangle . For example , if only two sides are given , an indefinite number of different ...
... similar remark may be made on the other cases we have con- sidered . But there are cases in which the data may be insufficient to deter- mine the triangle . For example , if only two sides are given , an indefinite number of different ...
Page 68
... similar remark may be made on the other cases we have con- sidered . But there are cases in which the data may be insufficient to deter- mine the triangle . For example , if only two sides are given , an indefinite number of different ...
... similar remark may be made on the other cases we have con- sidered . But there are cases in which the data may be insufficient to deter- mine the triangle . For example , if only two sides are given , an indefinite number of different ...
Page 192
... similar , and IF = BP . } II . The circles which pass through two vertices of a triangle , and the intersection of the perpendiculars , will be equal to the circumscribing circle . 12. The angles BIC , CIA , AIC are respectively double ...
... similar , and IF = BP . } II . The circles which pass through two vertices of a triangle , and the intersection of the perpendiculars , will be equal to the circumscribing circle . 12. The angles BIC , CIA , AIC are respectively double ...
Page 222
... also divided into m and n equal parts respectively , and therefore arc AB arc PQ :: m : n :: LAOB L POQ :: sector AOB : sector POQ . SECTION I. SIMILAR FIGURES . Def . 1. Similar rectilineal 222 [ Book V. ELEMENTARY GEOMETRY .
... also divided into m and n equal parts respectively , and therefore arc AB arc PQ :: m : n :: LAOB L POQ :: sector AOB : sector POQ . SECTION I. SIMILAR FIGURES . Def . 1. Similar rectilineal 222 [ Book V. ELEMENTARY GEOMETRY .
Page 223
James Maurice Wilson. SECTION I. SIMILAR FIGURES . Def . 1. Similar rectilineal figures are those which have their angles equal , and the sides about the equal angles proportional . Def . 2. Similar figures are said to be similarly ...
James Maurice Wilson. SECTION I. SIMILAR FIGURES . Def . 1. Similar rectilineal figures are those which have their angles equal , and the sides about the equal angles proportional . Def . 2. Similar figures are said to be similarly ...
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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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