Euclidian GeometryMacmillan, 1874 - 349 sider |
Inni boken
Resultat 1-5 av 32
Side xvi
... whole is equal to the sum of its parts . If equals be added to equals the wholes are equal . If equals be taken from equals the remainders are equal . If equals be added to unequals the wholes are unequal . If equals be taken from ...
... whole is equal to the sum of its parts . If equals be added to equals the wholes are equal . If equals be taken from equals the remainders are equal . If equals be added to unequals the wholes are unequal . If equals be taken from ...
Side 8
... whole EHF is the whole △ EDF , * and ..L BAC is = LEDF . ( ii ) If HD passes through one extremity of 8 STRAIGHT LINES , ANGLES AND TRIANGLES .
... whole EHF is the whole △ EDF , * and ..L BAC is = LEDF . ( ii ) If HD passes through one extremity of 8 STRAIGHT LINES , ANGLES AND TRIANGLES .
Side 42
... whole ACK is the two angles ABC , BAC together . Now to each of these equals add the ACB ; ... the two angles ACK , ACB are together the three 4s of the △ ABC ; but the two angles ACK , ACB are together right 4 s ; 1 = two ( I. 9 ) ...
... whole ACK is the two angles ABC , BAC together . Now to each of these equals add the ACB ; ... the two angles ACK , ACB are together the three 4s of the △ ABC ; but the two angles ACK , ACB are together right 4 s ; 1 = two ( I. 9 ) ...
Side 44
... whole ABC is D Ꭺ △ ABD is = △ BDC , ( 1.21 ) L L ADB is = 4 DBC , ( 1.21 ) = the whole ADĆ . L Also : LABD , △ ADB , and the side BD , are re- spectively = ¿ CDB , △ CBD , and side BD ; ( I. 3 ) .. as ABD , CDB are equal in all ...
... whole ABC is D Ꭺ △ ABD is = △ BDC , ( 1.21 ) L L ADB is = 4 DBC , ( 1.21 ) = the whole ADĆ . L Also : LABD , △ ADB , and the side BD , are re- spectively = ¿ CDB , △ CBD , and side BD ; ( I. 3 ) .. as ABD , CDB are equal in all ...
Side 56
... .. ASGQ is = ARGQ , and △ PQK = △ NQK ; .. As SGQ , PQK are together = as RGQ , NQK ; but the whole △ FGK is = the △ HGK ; .. the remainder FQ is = the remainder QH . PROPOSITION XXXV . In any right - angled triangle , 56 AREAS .
... .. ASGQ is = ARGQ , and △ PQK = △ NQK ; .. As SGQ , PQK are together = as RGQ , NQK ; but the whole △ FGK is = the △ HGK ; .. the remainder FQ is = the remainder QH . PROPOSITION XXXV . In any right - angled triangle , 56 AREAS .
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Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex