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Side 19
... included angles equal , viz . AA E BA = ED , AC = DF , F and the included angle BAC = the included angle EDF ; it is required to prove that the triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle ...
... included angles equal , viz . AA E BA = ED , AC = DF , F and the included angle BAC = the included angle EDF ; it is required to prove that the triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle ...
Side 20
... 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 sides be produced the angles on the other ...
... 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 sides be produced the angles on the other ...
Side 27
... included angles unequal , their bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included ...
... included angles unequal , their bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included ...
Side 28
... included angle FDH = the included angle GDH , therefore HF = HG ; ( Constr . ) ( Th . 5. ) and therefore EH and HF together are equal to EG . But EH and HF together are greater than EF ; ( Th . 12. ) therefore EG or BC is greater than ...
... included angle FDH = the included angle GDH , therefore HF = HG ; ( Constr . ) ( Th . 5. ) and therefore EH and HF together are equal to EG . But EH and HF together are greater than EF ; ( Th . 12. ) therefore EG or BC is greater than ...
Side 36
... included among the data : what lines and angles are given equal by hypothesis . Then see what is required to be proved , what lines or angles have to be proved to be equal . It may follow from the properties proved of a single triangle ...
... included among the data : what lines and angles are given equal by hypothesis . Then see what is required to be proved , what lines or angles have to be proved to be equal . It may follow from the properties proved of a single triangle ...
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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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