Euclidian Geometry |
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Page 49
... twice as many right 4s as the figure has sides ; but all the exteriors are = 4 right 4 s ; ... all the interiors of the polygon together with four rights are = twice as many rights as the figures has sides . 4 C. G. PROBLEM H. To divide ...
... twice as many right 4s as the figure has sides ; but all the exteriors are = 4 right 4 s ; ... all the interiors of the polygon together with four rights are = twice as many rights as the figures has sides . 4 C. G. PROBLEM H. To divide ...
Page 72
... twice the squares on AC , CD . К. H AC , CD . We shall first describe a square = twice the squares on Draw CF and = AC ; join AF . Then ACF is a right - angled isosceles △ , AF twice the square on AC . = = and square on ( I. 35 ) Join ...
... twice the squares on AC , CD . К. H AC , CD . We shall first describe a square = twice the squares on Draw CF and = AC ; join AF . Then ACF is a right - angled isosceles △ , AF twice the square on AC . = = and square on ( I. 35 ) Join ...
Page 73
... twice the squares on AC , CK . For the squares on AD , DH = twice the squares on AC , CD ; .. the squares on AD , DH and twice the square on DK twice the square on AC and twice the squares on CD , DK ; = i.e. the squares on AK , KH ...
... twice the squares on AC , CK . For the squares on AD , DH = twice the squares on AC , CD ; .. the squares on AD , DH and twice the square on DK twice the square on AC and twice the squares on CD , DK ; = i.e. the squares on AK , KH ...
Page 84
... twice the rect- angle A , B. Also , if A and B be unequal and D be their difference , the rectangle S , D is the difference between the squares on A , B ; and the square on D is < the squares on A and B by twice the rectangle A , B ...
... twice the rect- angle A , B. Also , if A and B be unequal and D be their difference , the rectangle S , D is the difference between the squares on A , B ; and the square on D is < the squares on A and B by twice the rectangle A , B ...
Page 85
... twice rectangle A , B = twice squares on A , B + twice rectangle A , B ; .. squares on S , D = twice squares on A , B. Also that square on S = squares on A , B + twice rectangle A , B , and ... square on D + four times rectangle A ...
... twice rectangle A , B = twice squares on A , B + twice rectangle A , B ; .. squares on S , D = twice squares on A , B. Also that square on S = squares on A , B + twice rectangle A , B , and ... square on D + four times rectangle A ...
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Common terms and phrases
base bisect Cambridge centre chapter chord circle circumference classes cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence Illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reading rect rectangle render respectively revised right angles Schools Second Edition segment selected sides similar Similarly square student taken tangent THEOREM third touch TREATISE triangle twice University volume whole
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Page 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 10 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
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Page 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Page 15 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Page 47 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
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Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Page 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.