A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 11
Página 15
... which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27. A right - angled triangle is that which has DEFINITIONS . 15.
... which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27. A right - angled triangle is that which has DEFINITIONS . 15.
Página 18
... unequal . 5. If equals be taken from unequals the remainders are unequal . 6. Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal to one another . 8. Magnitudes which coincide ...
... unequal . 5. If equals be taken from unequals the remainders are unequal . 6. Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal to one another . 8. Magnitudes which coincide ...
Página 26
... unequal to AC , that is , it is equal to it . Therefore , if two angles , & c . Q.E.D. Corollary . Hence every equiangular triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the ...
... unequal to AC , that is , it is equal to it . Therefore , if two angles , & c . Q.E.D. Corollary . Hence every equiangular triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the ...
Página 40
... unequal , the angles opposite to them are unequal ; and the greater side has the greater angle opposite to it . A similar comparison may be made between the 6th and 19th . Ex . Prove this proposition by producing the less side AB to E ...
... unequal , the angles opposite to them are unequal ; and the greater side has the greater angle opposite to it . A similar comparison may be made between the 6th and 19th . Ex . Prove this proposition by producing the less side AB to E ...
Página 50
... unequal to DE , that is , it is equal to it ; and BC is equal to EF ; [ Hyp . ] therefore the two sides AB , BC are equal to the two sides DE , EF , each to each ; and the angle ABC is equal to the angle DEF ; [ Hyp . ] therefore the ...
... unequal to DE , that is , it is equal to it ; and BC is equal to EF ; [ Hyp . ] therefore the two sides AB , BC are equal to the two sides DE , EF , each to each ; and the angle ABC is equal to the angle DEF ; [ Hyp . ] therefore the ...
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