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Page iii
... FIGURES , THE CIRCLE , AND PROPORTION . BY OTHECA J. M. WILSON , M.A. LATE FELLOW OF ST JOHN'S COLLEGE , CAMBRIDGE , AND MATHEMATICAL MASTER OF RUGBY SCHOOL . SECOND EDITION . London and Cambridge : MACMILLAN AND CO . 1869 [ All Rights ...
... FIGURES , THE CIRCLE , AND PROPORTION . BY OTHECA J. M. WILSON , M.A. LATE FELLOW OF ST JOHN'S COLLEGE , CAMBRIDGE , AND MATHEMATICAL MASTER OF RUGBY SCHOOL . SECOND EDITION . London and Cambridge : MACMILLAN AND CO . 1869 [ All Rights ...
Page xii
... figures by proofs differing in many cases from Euclid's , without being less rigorous . And when it is urged that Euclid affords an excellent training in logic , it must not be forgotten that very heavy deductions have to be made from ...
... figures by proofs differing in many cases from Euclid's , without being less rigorous . And when it is urged that Euclid affords an excellent training in logic , it must not be forgotten that very heavy deductions have to be made from ...
Page xxi
... figures . THEOREM 22. 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 ...
... figures . THEOREM 22. 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 ...
Page xxiv
... figure in- scribed in a circle are together equal to two right angles 94 · · · 94 The locus of a point at which a given straight line sub- tends a constant angle is an arc of a circle . COR . 6. In equal circles equal angles at the ...
... figure in- scribed in a circle are together equal to two right angles 94 · · · 94 The locus of a point at which a given straight line sub- tends a constant angle is an arc of a circle . COR . 6. In equal circles equal angles at the ...
Page 1
... figures , that is of solids , surfaces , and lines considered independently of the substances of which they are composed . Plane Geometry deals only with the line and plane , or flat surface ; and the elements of plane Geometry include ...
... figures , that is of solids , surfaces , and lines considered independently of the substances of which they are composed . Plane Geometry deals only with the line and plane , or flat surface ; and the elements of plane Geometry include ...
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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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