Euclidian Geometry |
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Page viii
... greater length should occupy pages facing each other : so also that propositions and the corresponding converse ones should be placed on opposite pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the ...
... greater length should occupy pages facing each other : so also that propositions and the corresponding converse ones should be placed on opposite pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the ...
Page xv
... greater than . < less than . ... because . ... therefore . : is to . The object aimed at is merely to place before the student the various steps of an argument in a more succinct form by curtailing the verbiage , thus enabling him to ...
... greater than . < less than . ... because . ... therefore . : is to . The object aimed at is merely to place before the student the various steps of an argument in a more succinct form by curtailing the verbiage , thus enabling him to ...
Page xvi
... greater than another any multiple of the former is greater than the same multiple of the latter . If a multiple of one magnitude be greater than the same multiple of another then the former magnitude is greater than the latter . ERRATA ...
... greater than another any multiple of the former is greater than the same multiple of the latter . If a multiple of one magnitude be greater than the same multiple of another then the former magnitude is greater than the latter . ERRATA ...
Page 2
... greater or less according as the difference of direction of its arms is greater or less . It is evident that Two straight lines cannot enclose a space . Hence it follows that Two straight lines cannot have a common segment . H Α . B For ...
... greater or less according as the difference of direction of its arms is greater or less . It is evident that Two straight lines cannot enclose a space . Hence it follows that Two straight lines cannot have a common segment . H Α . B For ...
Page 22
... greater than either of the interior and opposite angles . D Let the side BC of △ ABC be produced to D. ACD be > either of the 4S BAC , ABC . Then shall the Bisect AC in E ; join BE and produce BE to F , making EF- BE . Join CF. Then ...
... greater than either of the interior and opposite angles . D Let the side BC of △ ABC be produced to D. ACD be > either of the 4S BAC , ABC . Then shall the Bisect AC in E ; join BE and produce BE to F , making EF- BE . Join CF. Then ...
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Common terms and phrases
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 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 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