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 23
Página ix
... problems . The former propose something which is to be proved , the latter something to be done , as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite straight line ...
... problems . The former propose something which is to be proved , the latter something to be done , as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite straight line ...
Página x
... problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The following , therefore , exhibits the ...
... problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The following , therefore , exhibits the ...
Página 18
... . 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. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
... . 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. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
Página 19
Euclides Charles MANSFORD. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . 2 . Let AB be the given straight line . It is required to ... PROBLEM . From a given point to draw BOOK I. 1 . 19.
Euclides Charles MANSFORD. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . 2 . Let AB be the given straight line . It is required to ... PROBLEM . From a given point to draw BOOK I. 1 . 19.
Página 20
Euclides Charles MANSFORD. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight ... problem admits of eight cases in the figure . 1. The given point may be joined with either extremity of the given ...
Euclides Charles MANSFORD. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight ... problem admits of eight cases in the figure . 1. The given point may be joined with either extremity of the given ...
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 |