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Side 36
... given equal are right angles or obtuse angles . For then the remaining angles must be acute , and there- fore cannot ... angle . ( 3 ) If the side opposite the given angle in each triangle is not less than the other given side . For then ...
... given equal are right angles or obtuse angles . For then the remaining angles must be acute , and there- fore cannot ... angle . ( 3 ) If the side opposite the given angle in each triangle is not less than the other given side . For then ...
Side 40
... 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 ... given point to a given straight line . 7. Prove fully the corollary to Theorem 19 . 8. Enumerate the five cases in ...
... 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 ... given point to a given straight line . 7. Prove fully the corollary to Theorem 19 . 8. Enumerate the five cases in ...
Side 46
James Maurice Wilson. Again , because the angle EBC = the alternate angle BCH add to each the angle CBF ; therefore the two angles ... given equal , or if two interior angles on the same side are supplementary , then the alternate angles will ...
James Maurice Wilson. Again , because the angle EBC = the alternate angle BCH add to each the angle CBF ; therefore the two angles ... given equal , or if two interior angles on the same side are supplementary , then the alternate angles will ...
Side 58
... angle of a regular polygon is one - third of a right angle : find the number of sides in the polygon . 17. Two lines ... Given that a four - sided figure has its opposite sides equal , prove that it must be a parallelogram . 23. Prove that ...
... angle of a regular polygon is one - third of a right angle : find the number of sides in the polygon . 17. Two lines ... Given that a four - sided figure has its opposite sides equal , prove that it must be a parallelogram . 23. Prove that ...
Side 59
... Given two angles of a triangle to be respectively 72 ° o . 15′.47 ′′ and 83o . 51 ′ . 16 ′′ , find the third angle . 5 . If one angle of a triangle is equal to the other two , prove that it must be a right angle . 6. Isosceles triangles ...
... Given two angles of a triangle to be respectively 72 ° o . 15′.47 ′′ and 83o . 51 ′ . 16 ′′ , find the third angle . 5 . If one angle of a triangle is equal to the other two , prove that it must be a right angle . 6. Isosceles triangles ...
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Vanlige uttrykk og setninger
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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