A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 47
... applies to props . 25 and 8. See note to prop . 18 . Ex . The two hands of a watch are together at 12 o'clock . Show that in moving from this position the distance between their extremities is continually increased until they come into ...
... applies to props . 25 and 8. See note to prop . 18 . Ex . The two hands of a watch are together at 12 o'clock . Show that in moving from this position the distance between their extremities is continually increased until they come into ...
Página 71
... apply to the straight line AB a parallelogram equal to the triangle C , and having an angle equal to D. D C F K M 2 . Make the parallelogram BEFG equal to the triangle C , and having the angle EBG equal to the angle D , so that BE may ...
... apply to the straight line AB a parallelogram equal to the triangle C , and having an angle equal to D. D C F K M 2 . Make the parallelogram BEFG equal to the triangle C , and having the angle EBG equal to the angle D , so that BE may ...
Página 72
... apply the parallelogram GM equal to the triangle DBC , and having the angle GHM equal to the angle E. [ I. 44. ] The figure FKML shall be the parallelogram required . M Because the angle E is equal to each of the 3. angles FKH , GHM ...
... apply the parallelogram GM equal to the triangle DBC , and having the angle GHM equal to the angle E. [ I. 44. ] The figure FKML shall be the parallelogram required . M Because the angle E is equal to each of the 3. angles FKH , GHM ...
Página 73
... apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be . equal to a given rectilineal figure ; namely , by applying to the given straight line a parallelogram equal to the first triangle ABD ...
... apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be . equal to a given rectilineal figure ; namely , by applying to the given straight line a parallelogram equal to the first triangle ABD ...
Página 81
... apply when the lines are commensurable , whereas the propositions are true for all divisions of the lines , whether commensurable or not . 2. Because in Arithmetic and Algebra we proceed by general rules and processes without stopping ...
... apply when the lines are commensurable , whereas the propositions are true for all divisions of the lines , whether commensurable or not . 2. Because in Arithmetic and Algebra we proceed by general rules and processes without stopping ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CBA axioms base BC BC is equal bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal