The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |
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Page 8
... solid angles of the figures is contained by no more than three plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and mag- nitude , and yet be unequal to one another , as shall be ...
... solid angles of the figures is contained by no more than three plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and mag- nitude , and yet be unequal to one another , as shall be ...
Page 9
... solid angles are contained by no more than three plane angles ; nor of this case is there any De- monstration in the ... solids con- tained by the same number of similar plane figures , which are not similar to one another , in the true ...
... solid angles are contained by no more than three plane angles ; nor of this case is there any De- monstration in the ... solids con- tained by the same number of similar plane figures , which are not similar to one another , in the true ...
Page 194
... SOLID is that which hath length , breadth , and thickness . II . That which bounds a solid is a superficies . III . A straight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line ...
... SOLID is that which hath length , breadth , and thickness . II . That which bounds a solid is a superficies . III . A straight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line ...
Page 195
... solid figures are such as have all their solid angles equal , each to each , and which are contained by the same number of similar planes . * XII . A pyramid is a solid figure contained by planes that are consti- tuted betwixt one plane ...
... solid figures are such as have all their solid angles equal , each to each , and which are contained by the same number of similar planes . * XII . A pyramid is a solid figure contained by planes that are consti- tuted betwixt one plane ...
Page 196
... solid figure contained by six equal squares . XXVI . A tetrahedron is a solid figure contained by four equal and equi- lateral triangles . XXVII . An octahedron is a solid figure contained by eight equal and equilateral triangles ...
... solid figure contained by six equal squares . XXVI . A tetrahedron is a solid figure contained by four equal and equi- lateral triangles . XXVII . An octahedron is a solid figure contained by eight equal and equilateral triangles ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore