Elementary Geometry ... |
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Página 8
... common vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of without qualifica- tion ...
... common vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of without qualifica- tion ...
Página 10
... common arm . Def . 26. The perimeter of a rectilineal figure is the sum of its sides . Def . 27. The area of a figure is the space inclosed by its boundary . Def . 28. A triangle is a figure contained by three straight lines . Def . 29 ...
... common arm . Def . 26. The perimeter of a rectilineal figure is the sum of its sides . Def . 27. The area of a figure is the space inclosed by its boundary . Def . 28. A triangle is a figure contained by three straight lines . Def . 29 ...
Página 11
... common lie wholly in the same straight line . 3. A finite straight line has one and only one point of bisection . 4. An angle has one and only one bisector . POSTULATES . Let it be granted that I. A straight line may be drawn from any ...
... common lie wholly in the same straight line . 3. A finite straight line has one and only one point of bisection . 4. An angle has one and only one bisector . POSTULATES . Let it be granted that I. A straight line may be drawn from any ...
Página 15
... common angle AOC ; therefore the angle COB is equal to the angle AOD * . Q. E. D. COR . The sum of all the angles made by any number of lines taken consecutively which meet at a point is four right anglest . I. EXERCISES ON ANGLES . If ...
... common angle AOC ; therefore the angle COB is equal to the angle AOD * . Q. E. D. COR . The sum of all the angles made by any number of lines taken consecutively which meet at a point is four right anglest . I. EXERCISES ON ANGLES . If ...
Página 20
... common , ( Ax . 4. ) ( Hyp . ) and the included angle BAX = the included angle CAX . ( Hyp . ) Therefore the triangles are equal in all respects , ( Th . 5. ) that is , the angle at B = the angle at C. Q. E. D. COR . I. If the equal ...
... common , ( Ax . 4. ) ( Hyp . ) and the included angle BAX = the included angle CAX . ( Hyp . ) Therefore the triangles are equal in all respects , ( Th . 5. ) that is , the angle at B = the angle at C. Q. E. D. COR . I. If the equal ...
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Términos y frases comunes
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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