A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
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Página viii
... parallel lines . ' Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the corresponding definitions form the basis of all our reasonings respecting them . Like the other axioms ...
... parallel lines . ' Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the corresponding definitions form the basis of all our reasonings respecting them . Like the other axioms ...
Página ix
... parallel to a third straight line . " The definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be ...
... parallel to a third straight line . " The definitions and axioms together include all the fundamental principles from which the truths constituting the science of geometry are deduced . The way in which this is effected is now to be ...
Página 17
... Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its opposite sides parallel . A Rectangle is a right ...
... Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its opposite sides parallel . A Rectangle is a right ...
Página 18
... space . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
... space . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
Página 51
... parallel lines . The following construction has important consequences , and may be introduced here : -- To construct a triangle , having given two sides and an angle opposite to one of them . Let AB and BH be the two given sides , and ...
... parallel lines . The following construction has important consequences , and may be introduced here : -- To construct a triangle , having given two sides and an angle opposite to one of them . Let AB and BH be the two given sides , and ...
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