Elements of Geometry, Containing Books I. to VI. and Portions of Books XI. and XII. of EuclidA. Miller & Company, 1879 - 349 páginas |
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Página 9
... Proposition states , that what had to be done or proved has been done or proved . The letters Q. E. F. at the end of a Problem stand for Quod erat faciendum . The letters Q. E. D. at the end of a Theorem stand for Quod erat ...
... Proposition states , that what had to be done or proved has been done or proved . The letters Q. E. F. at the end of a Problem stand for Quod erat faciendum . The letters Q. E. D. at the end of a Theorem stand for Quod erat ...
Página 13
Euclid. PROPOSITION IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise ... Q. E. D. NOTE 1. On the Method of Superposition . Two geometrical Book I. ] 13 PROPOSITION IV ...
Euclid. PROPOSITION IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise ... Q. E. D. NOTE 1. On the Method of Superposition . Two geometrical Book I. ] 13 PROPOSITION IV ...
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... Q. E. D. COR . Hence , by a process like that in Prop . A , we can prove the following theorem : If two angles of a triangle be equal , the sides which subten them are also equal . ( Eucl . I. 6. ) PROPOSITION C. THEOREM . If two ...
... Q. E. D. COR . Hence , by a process like that in Prop . A , we can prove the following theorem : If two angles of a triangle be equal , the sides which subten them are also equal . ( Eucl . I. 6. ) PROPOSITION C. THEOREM . If two ...
Página 19
... :: BD = BA , .. 2 BAD = 2 BDA , I. A. that is , BAC = △ BDC . Then , as in Case I. , the equality of the original triangles may be proved . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given angle Book 1.1 19 PROPOSITION C.
... :: BD = BA , .. 2 BAD = 2 BDA , I. A. that is , BAC = △ BDC . Then , as in Case I. , the equality of the original triangles may be proved . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given angle Book 1.1 19 PROPOSITION C.
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... Q. E. D. Ex . Straight lines drawn connecting the opposite angular points of a quadrilateral figure intersect each ... PROPOSITION XIV . THEOREM . If , at a point Book I. ] 25 PROPOSITION XIII .
... Q. E. D. Ex . Straight lines drawn connecting the opposite angular points of a quadrilateral figure intersect each ... PROPOSITION XIV . THEOREM . If , at a point Book I. ] 25 PROPOSITION XIII .
Otras ediciones - Ver todas
Elements of Geometry: Containing Books I to VI and Portions of Books XI and ... Thomas Kirkland,J Hamblin 1829-1901 Smith Sin vista previa disponible - 2015 |
Elements of Geometry Containing Books I to VI and Portions of Books XI and ... J. Hamblin Smith,Thos Kirkland Sin vista previa disponible - 2018 |
Términos y frases comunes
ABCD AC=DF angle contained angles equal angular points base BC BC=EF centre chord circumference coincide diagonals diameter divided equal angles equiangular equilateral triangle equimultiples Eucl Euclid exterior angle given angle given circle given point given st given straight line greater than nB Hence hypotenuse inscribed intersect isosceles triangle less Let ABC Let the st lines be drawn magnitudes middle points multiple obtuse opposite angles opposite sides parallelogram pentagon perpendicular produced Prop prove Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radius ratio rectangle contained reflex angle rhombus right angles segment shew shewn straight line joining subtended sum of sqq Take any pt tangent THEOREM together=two rt trapezium triangle ABC triangles are equal twice rect vertex vertical angle