A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Página 26
... Hence every equiangular triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the resulting proposition is called the ' converse ' of the one from which it is thus derived ...
... Hence every equiangular triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the resulting proposition is called the ' converse ' of the one from which it is thus derived ...
Página 28
... Hence the use of the cross - bar in a door or gate , and of the tie - beam in a roof is to make the structure rigid . PROPOSITION 8. THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each ...
... Hence the use of the cross - bar in a door or gate , and of the tie - beam in a roof is to make the structure rigid . PROPOSITION 8. THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each ...
Página 29
... bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
... bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
Página 69
... Hence the area of a triangle is half that of a rectangle having the same base and altitude . PROPOSITION 42. PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given ...
... Hence the area of a triangle is half that of a rectangle having the same base and altitude . PROPOSITION 42. PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given ...
Página 88
... Hence the corresponding proposition in arithmetic is , The product of the sum and difference of two numbers is equal to the difference of their squares . 1. Let AC . CD be considered as two independent lines , then AD is their sum and ...
... Hence the corresponding proposition in arithmetic is , The product of the sum and difference of two numbers is equal to the difference of their squares . 1. Let AC . CD be considered as two independent lines , then AD is their sum 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
ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure remainder result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |