The Elements of Solid Geometry |
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Page v
... book will , even as regards mere examination pur- poses , be at no disadvantage from not having studied the text of Euclid , as it appears in the usual editions . Many of the demonstrations in Euclid's Eleventh Book , notably.
... book will , even as regards mere examination pur- poses , be at no disadvantage from not having studied the text of Euclid , as it appears in the usual editions . Many of the demonstrations in Euclid's Eleventh Book , notably.
Page vi
Robert Baldwin Hayward. Many of the demonstrations in Euclid's Eleventh Book , notably those of Props . 4 , 6 , and 8 , are highly artificial ; and I believe this to be mainly due to his dealing with per- pendiculars before parallels and ...
Robert Baldwin Hayward. Many of the demonstrations in Euclid's Eleventh Book , notably those of Props . 4 , 6 , and 8 , are highly artificial ; and I believe this to be mainly due to his dealing with per- pendiculars before parallels and ...
Page viii
... book quite independent of this discussion , which may be read or omitted by the student without prejudice to his clear under- standing of the propositions in the Sections which follow . It will be seen that I have , in accordance with ...
... book quite independent of this discussion , which may be read or omitted by the student without prejudice to his clear under- standing of the propositions in the Sections which follow . It will be seen that I have , in accordance with ...
Page 2
... book , or omitted altogether , at the discretion of the student or his teacher . 1. Our conception of space is that of an unlimited extension on all sides . A finite portion of space regarded as separated from the rest , is termed a ...
... book , or omitted altogether , at the discretion of the student or his teacher . 1. Our conception of space is that of an unlimited extension on all sides . A finite portion of space regarded as separated from the rest , is termed a ...
Page 6
... Syllabus of the same , published by the Association for the Improvement of Geometrical Teaching , will be in this book referred to as Pl . G. less than three of the points through which they pass 6 ELEMENTS OF SOLID GEOMETRY .
... Syllabus of the same , published by the Association for the Improvement of Geometrical Teaching , will be in this book referred to as Pl . G. less than three of the points through which they pass 6 ELEMENTS OF SOLID GEOMETRY .
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Common terms and phrases
ABCD angle ACB axis bisected central symmetry centre centre of symmetry circle Crown 8vo cuboid diameter dihedral angle direct line distance drawn Elementary equal bases equally inclined Euclid exterior angle finite four right angles frustrum given line given point Globe 8vo greater Hence less lines joining lines of intersection lune meets the plane middle point number of faces number of sides pair parallel planes perpendicular plane BOC plane faces plane geometry plane parallel plane triangle planes are parallel polar triangle polygon polyhedra polyhedron position prism projection Q. E. D. COR Q. E. D. THEOREM quadrant ratio regular regular polyhedron six right solid angles solid figure Solid Geometry space sphere spherical excess spherical surface spherical triangle Spherical Trigonometry straight line superposable supplementary symmetrical with respect termed tetrahedron three planes triangle ABC vertex volume
Popular passages
Page 130 - ... equal, then the angles opposite to the other pair of equal sides are either equal or supplementary, and in the former case the triangles are identically equal.
Page 120 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...