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Side 4
... construction to be effected by the aid of certain instruments . It has been universally agreed by Geometers to use only the ruler , i . e . a straight edge , not divided , and a pair of compasses , in the solution of Problems . A ...
... construction to be effected by the aid of certain instruments . It has been universally agreed by Geometers to use only the ruler , i . e . a straight edge , not divided , and a pair of compasses , in the solution of Problems . A ...
Side 5
... construction . REMARKS . A beginner often asks ' What is the use of Geometry ? ' The following remarks may perhaps help to shew him part at least of the use of it . What is Geometry ? What is the object of the science ? It is not ...
... construction . REMARKS . A beginner often asks ' What is the use of Geometry ? ' The following remarks may perhaps help to shew him part at least of the use of it . What is Geometry ? What is the object of the science ? It is not ...
Side 23
... ( Constr . ) ( Constr . ) and the contained angles AEB , CEF are equal ; ( Th . 4. ) , therefore the triangles are equal in all respects ; and therefore the angle EAB = the angle ECF . ( Th . 5. ) But the angle ECD is greater than ECF ...
... ( Constr . ) ( Constr . ) and the contained angles AEB , CEF are equal ; ( Th . 4. ) , therefore the triangles are equal in all respects ; and therefore the angle EAB = the angle ECF . ( Th . 5. ) But the angle ECD is greater than ECF ...
Side 24
... ( Constr . ) ( Th . 6. ) But because ADB is the exterior angle of the triangle BDC , therefore the angle ADB is greater than the angle ACB ; ( Th . 9. ) therefore also the angle ABD is greater than the angle ACB : much more then is the ...
... ( Constr . ) ( Th . 6. ) But because ADB is the exterior angle of the triangle BDC , therefore the angle ADB is greater than the angle ACB ; ( Th . 9. ) therefore also the angle ABD is greater than the angle ACB : much more then is the ...
Side 25
... ( Constr . ) ( Th . 6. ) But the angle ACD is greater than the angle BCD ; therefore the angle ACD is greater than the angle ADC ; and therefore AD is greater than AC . ( Th . 11. ) But AD is equal to AB and BC together , therefore AB and ...
... ( Constr . ) ( Th . 6. ) But the angle ACD is greater than the angle BCD ; therefore the angle ACD is greater than the angle ADC ; and therefore AD is greater than AC . ( Th . 11. ) But AD is equal to AB and BC together , therefore AB and ...
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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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