A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 19
... which was to be done , and are usually added at the close of a problem . Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals . PROPOSITION 2. PROBLEM . From a given point to draw BOOK I. 1 . 19.
... which was to be done , and are usually added at the close of a problem . Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals . PROPOSITION 2. PROBLEM . From a given point to draw BOOK I. 1 . 19.
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Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one another . 2 . The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM .
Prove by the method used in this proposition that the two triangles into which a square is divided by its diagonal are equal to one another . 2 . The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM .
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Ex . 1. Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. Tiie opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM .
Ex . 1. Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. Tiie opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM .
Página 29
The diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagon : rls of a square bisect cach other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal ...
The diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagon : rls of a square bisect cach other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal ...
Página 42
The four sides of a quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less ...
The four sides of a quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less ...
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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 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 drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half 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 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 |