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Side 12
... requested . Isosceles . ἴσος σκέλος , ισοσκελής , having equal legs . Hypotenuse . ὑπὸ τείνουσα ( γραμμή ) , the line ... required to prove that ABC is equal to PRS . Proof . If the point B were placed on the point R , and the line BC ...
... requested . Isosceles . ἴσος σκέλος , ισοσκελής , having equal legs . Hypotenuse . ὑπὸ τείνουσα ( γραμμή ) , the line ... required to prove that ABC is equal to PRS . Proof . If the point B were placed on the point R , and the line BC ...
Side 13
... required to prove that the ad- jacent angles ABD , DBC are to- gether equal to two right angles . A D B с ( Hyp . ) ( Def . 14. ) Proof . Because ABC is a straight line , therefore the angle ABC is equal to two right angles ; but the ...
... required to prove that the ad- jacent angles ABD , DBC are to- gether equal to two right angles . A D B с ( Hyp . ) ( Def . 14. ) Proof . Because ABC is a straight line , therefore the angle ABC is equal to two right angles ; but the ...
Side 14
... required to prove that AB , BC are in one straight line . Proof . Because DBA and DBC are together equal to two right angles ; ( Hyp . ) and DBA and DBC , from the figure , make up the angle ABC ; therefore ABC is an angle of two right ...
... required to prove that AB , BC are in one straight line . Proof . Because DBA and DBC are together equal to two right angles ; ( Hyp . ) and DBA and DBC , from the figure , make up the angle ABC ; therefore ABC is an angle of two right ...
Side 19
... required to prove that the triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be ...
... required to prove that the triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be ...
Side 20
... required to prove that the angle B is equal to the angle C. B C Χ Proof . Let AX be the bisector of the angle BAC , meeting the base BC in X. Then in the triangles BAX , CAX we have BA = AC , AX common , ( Ax . 4. ) ( Hyp . ) and the ...
... required to prove that the angle B is equal to the angle C. B C Χ Proof . Let AX be the bisector of the angle BAC , meeting the base BC in X. Then in the triangles BAX , CAX we have BA = AC , AX common , ( Ax . 4. ) ( Hyp . ) and the ...
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Vanlige uttrykk og setninger
ABCD angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal
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