A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página viii
But this is not the case in regard to straight lines , ' 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 ...
But this is not the case in regard to straight lines , ' 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 ...
Página x
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 .
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
All right angles are equal to one another . 2. ABC and DEF are right angles . 3. Therefore ABC is equal to DEF . The two first statements are called the premisses , and the last the conclusion ; and it will be noticed that the principle ...
All right angles are equal to one another . 2. ABC and DEF are right angles . 3. Therefore ABC is equal to DEF . The two first statements are called the premisses , and the last the conclusion ; and it will be noticed that the principle ...
Página 14
When a straight line standing on another straight line , makes the adjacent 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.
When a straight line standing on another straight line , makes the adjacent 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.
Página 16
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 four - sided figures , a square ...
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 four - sided figures , a square ...
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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 |