A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página viii
... greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of ...
... greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of ...
Página ix
... greater than the third side , " and " To bisect a given finite straight line , that is , to divide it into two equal parts . " These statements form what is called the general enunciation of the proposition , after which comes the ...
... greater than the third side , " and " To bisect a given finite straight line , that is , to divide it into two equal parts . " These statements form what is called the general enunciation of the proposition , after which comes the ...
Página 14
... greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane ...
... greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane ...
Página 18
... greater than its part . 10. Two straight lines cannot enclose a 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 ...
... greater than its part . 10. Two straight lines cannot enclose a 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 ...
Página 21
... greater . It is required to cut off from AB , the greater , a part equal to Ɑ the less . From the point 2. A draw the straight line AD equal to C ; [ I. 2. ] and from the centre A , at the distance AD , describe the circle DEF . [ Post ...
... greater . It is required to cut off from AB , the greater , a part equal to Ɑ the less . From the point 2. A draw the straight line AD equal to C ; [ I. 2. ] and from the centre A , at the distance AD , describe the circle DEF . [ Post ...
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