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
... right angles ' and 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 ...
... right angles ' and 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 ...
Página x
... most convincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All right angles are equal to one another . X INTRODUCTION .
... most convincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All right angles are equal to one another . X INTRODUCTION .
Página xi
... right angles ; the second asserts that particular angles ABC , DEF belong to the class of right angles ; and hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another . Now as ...
... right angles ; the second asserts that particular angles ABC , DEF belong to the class of right angles ; and hence what is asserted of all right angles may be asserted concerning them , viz . that they are equal to one another . Now as ...
Página 14
... angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute ...
... angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute ...
Página 16
Euclides Charles MANSFORD. 27. A right - angled triangle is that which has a right angle . 28. An obtuse - angled triangle is that which has an obtuse angle . 29. An acute - angled triangle is that which has three acute angles . 30. Of ...
Euclides Charles MANSFORD. 27. A right - angled triangle is that which has a right angle . 28. An obtuse - angled triangle is that which has an obtuse angle . 29. An acute - angled triangle is that which has three acute angles . 30. Of ...
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