The Elements of Euclid, with Many Additional Propositions and Explanatory Notes. ... Part II.1876 |
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... Construction , and the Methods of Testing , Ad- justing , and Using them are concisely Explained . By J. F. HEATHER , M.A. , of the Royal Military Academy , Woolwich . Original Edition , in 1 vol . , Illustrated . 18. 6d . . In ordering ...
... Construction , and the Methods of Testing , Ad- justing , and Using them are concisely Explained . By J. F. HEATHER , M.A. , of the Royal Military Academy , Woolwich . Original Edition , in 1 vol . , Illustrated . 18. 6d . . In ordering ...
Page 6
... CONSTRUCTION . Bisect the angles_BCD and CDE ( a ) , by the straight lines CF and DF , then because the angles FCD and FDC ( a ) I. 9 . E are together less than two right angles , there- fore 6 ELEMENTS OF GEOMETRY .
... CONSTRUCTION . Bisect the angles_BCD and CDE ( a ) , by the straight lines CF and DF , then because the angles FCD and FDC ( a ) I. 9 . E are together less than two right angles , there- fore 6 ELEMENTS OF GEOMETRY .
Page 37
... construction , D may in like manner be shown to be equal to E ; there- fore if F be greater than D , it is likewise greater than E ; and if equal , equal ; if less , less ; but F is any multiple whatever of C , and D , E , are any ...
... construction , D may in like manner be shown to be equal to E ; there- fore if F be greater than D , it is likewise greater than E ; and if equal , equal ; if less , less ; but F is any multiple whatever of C , and D , E , are any ...
Page 39
... construction EF is greater than D ; therefore the whole EG is greater than K and D together but K together with D is equal to L ; therefore EG is greater than L : but FG is not greater than L : and EG , FG were proved to be ...
... construction EF is greater than D ; therefore the whole EG is greater than K and D together but K together with D is equal to L ; therefore EG is greater than L : but FG is not greater than L : and EG , FG were proved to be ...
Page 71
... CONSTRUCTION . Produce BD both ways to the points H , L , and take any number of straight lines BG , GH , each equal to the base BC ; and DK , KL , any number of them , each equal to the base CD ; and join AG , AH , AK , AL . EA F HGB ...
... CONSTRUCTION . Produce BD both ways to the points H , L , and take any number of straight lines BG , GH , each equal to the base BC ; and DK , KL , any number of them , each equal to the base CD ; and join AG , AH , AK , AL . EA F HGB ...
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The Elements of Euclid, with Many Additional Propositions, and Explanatory ... Euclides No preview available - 2016 |
Common terms and phrases
altitude angle ABC angle BAC base ABC base DEF base EH bisected circle ABCD circle EFGH circumference common section cone Construction contained COROLLARY cylinder DEMONSTRATION duplicate ratio equal and similar equal angles equi equiangular equimultiples Euclid ex æquali fore four magnitudes fourth given circle given straight line greater ratio homologous homologous sides Hypoth inscribed join less LUDGATE HILL multiple opposite planes paral parallel parallelogram perpendicular polygon polyhedron prism PROPOSITION pyramid ABCG pyramid DEFH RALPH TATE reciprocally proportional rectangle rectilineal figure remaining angle right angles SCHOLIUM segments solid angle solid CD solid parallelopipeds sphere square on BD THEOREM THEOREM.-If third three plane angles three straight lines tiple triangle ABC triplicate ratio vertex vertex the point wherefore Woodcuts
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Page 10 - A KEY AND COMPANION to the above Book, forming an extensive repository of Solved Examples and Problems in Illustration of the various Expedients necessary in Algebraical Operations.
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Page 5 - SHIPBUILDING, NAVIGATION, MARINE ENGINEERING, ETC. 51. NAVAL ARCHITECTURE, the Rudiments of; or an Exposition of the Elementary Principles of the Science, and their Practical Application to Naval Construction. Compiled for the Use of Beginners. By JAMES PEAKE, School of Naval Architecture, HM Dockyard, Portsmouth.
Page 85 - ... have an angle of the one equal to an angle of the other, and the sides about those angles reciprocally proportional, are equal to une another.
Page 7 - Comprising Observations on the Materials from, and Processes by which, they are manufactured ; their Special Uses, Applications, Qualities, and Efficiency.
Page 18 - Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding...
Page 7 - By DIONYSIUS LARDNER, DCL, formerly Professor of Natural Philosophy and Astronomy in University College, London.