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Page xx
... PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram will be equal , and the diagonal , or the line which joins its opposite angles , will bisect it . Two Corollaries . PAGE · 29 SECTION V. PROBLEMS OF ...
... PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram will be equal , and the diagonal , or the line which joins its opposite angles , will bisect it . Two Corollaries . PAGE · 29 SECTION V. PROBLEMS OF ...
Page xxi
... Parallelograms on the same base and between the same parallels will be equivalent Three Corollaries . · 56 THEOREM 23. Triangles on the same base and between the same parallels will be equivalent Three Corollaries . · 58 THEOREM 24 ...
... Parallelograms on the same base and between the same parallels will be equivalent Three Corollaries . · 56 THEOREM 23. Triangles on the same base and between the same parallels will be equivalent Three Corollaries . · 58 THEOREM 24 ...
Page xxviii
... 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 • 149 SECTION II . AREAS . THEOREM II . Parallelograms of xxviii CONTENTS .
... 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 • 149 SECTION II . AREAS . THEOREM II . Parallelograms of xxviii CONTENTS .
Page xxix
James Maurice Wilson. SECTION II . AREAS . THEOREM II . Parallelograms of the same altitude are to one another as their bases FIVE COROLLARIES • THEOREM 12. Equiangular parallelograms have to one another the ratio compounded of the ...
James Maurice Wilson. SECTION II . AREAS . THEOREM II . Parallelograms of the same altitude are to one another as their bases FIVE COROLLARIES • THEOREM 12. Equiangular parallelograms have to one another the ratio compounded of the ...
Page 36
... is joined , prove that the angle ADB is an obtuse angle . 7. Prove that the sum of the three sides of a triangle is greater than the sum of the three medians . SECTION IV . PARALLELOGRAMS . Def . 30. A four 36 [ Book ELEMENTARY GEOMETRY .
... is joined , prove that the angle ADB is an obtuse angle . 7. Prove that the sum of the three sides of a triangle is greater than the sum of the three medians . SECTION IV . PARALLELOGRAMS . Def . 30. A four 36 [ Book ELEMENTARY GEOMETRY .
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Common terms and phrases
AB² 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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