Euclidian Geometry |
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Page 51
... construction , AK is a □ . .. AB is HK , = and AH = BK , ( 1. 26 ) ( I. 26 ) also AH is AB ; = .. AK is equilateral ; also . BAH is a right 4 ; ... all the 4s of AK are rights ; ..the AK is both equilateral and rectangular , and is ...
... construction , AK is a □ . .. AB is HK , = and AH = BK , ( 1. 26 ) ( I. 26 ) also AH is AB ; = .. AK is equilateral ; also . BAH is a right 4 ; ... all the 4s of AK are rights ; ..the AK is both equilateral and rectangular , and is ...
Page 60
... to a given angle . For a = LH may be drawn the given a and having the given , and the remainder of the construction is the same as in the proposition . an 2 = PROBLEM N. Describe a triangle equal to a given rectilineal 60 AREAS .
... to a given angle . For a = LH may be drawn the given a and having the given , and the remainder of the construction is the same as in the proposition . an 2 = PROBLEM N. Describe a triangle equal to a given rectilineal 60 AREAS .
Page 101
... construction being made , · . · CH = CF , ... square on CH = square on CF ; ... squares on CX , XH are together = squares on CY , YF ; ( 1.35 ) but since HK is > FG ; .. XH is > YF ; .. square on XH is > square on YF ; .. square on CX ...
... construction being made , · . · CH = CF , ... square on CH = square on CF ; ... squares on CX , XH are together = squares on CY , YF ; ( 1.35 ) but since HK is > FG ; .. XH is > YF ; .. square on XH is > square on YF ; .. square on CX ...
Page 132
... construction is easy . But if not , let A be the centre of the smaller greater . and B of the With centre B and radius = the difference between the radii of the given Os describe a o PQ . From A draw a tangent AP to o PQ . Join BP and ...
... construction is easy . But if not , let A be the centre of the smaller greater . and B of the With centre B and radius = the difference between the radii of the given Os describe a o PQ . From A draw a tangent AP to o PQ . Join BP and ...
Page 149
... of in- scribed and circumscribed regular figures , the constructions in the case of squares having been given separately on account of their simplicity . PROBLEM IO . To inscribe a regular polygon having a SQUARES AND CIRCLES . 149.
... of in- scribed and circumscribed regular figures , the constructions in the case of squares having been given separately on account of their simplicity . PROBLEM IO . To inscribe a regular polygon having a SQUARES AND CIRCLES . 149.
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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.