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Page vii
... corresponding gain in grasp or cogency . The exclusion of hypothetical constructions may be mentioned as a self - imposed restriction which has made the confused order of his first book necessary , with out any compensating advantage ...
... corresponding gain in grasp or cogency . The exclusion of hypothetical constructions may be mentioned as a self - imposed restriction which has made the confused order of his first book necessary , with out any compensating advantage ...
Page xviii
... corresponding angles with every straight line which meets them Three Corollaries . THEOREM 6. The exterior angles of any convex polygon , made by producing the sides in succession , will be together equal to four right angles One ...
... corresponding angles with every straight line which meets them Three Corollaries . THEOREM 6. The exterior angles of any convex polygon , made by producing the sides in succession , will be together equal to four right angles One ...
Page xix
... corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one triangle are respectively . equal to two sides and the included angle of another , the triangles ...
... corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one triangle are respectively . equal to two sides and the included angle of another , the triangles ...
Page xx
... correspond- ing angle of the other , the triangles shall be equal in all re- spects · Three Corollaries . SECTION IV . PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram will be equal , and the diagonal , or ...
... correspond- ing angle of the other , the triangles shall be equal in all re- spects · Three Corollaries . SECTION IV . PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram will be equal , and the diagonal , or ...
Page xxviii
... corresponding angle of the other , these triangles will be similar • • PAGE 138 139 140 141 142 144 145 146 THEOREM 10 . Similar polygons can be divided into the same number of similar triangles THREE COROLLARIES · 147 148 EXAMPLES ...
... corresponding angle of the other , these triangles will be similar • • PAGE 138 139 140 141 142 144 145 146 THEOREM 10 . Similar polygons can be divided into the same number of similar triangles THREE COROLLARIES · 147 148 EXAMPLES ...
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Common terms and phrases
ABē ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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