A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página vi
For this reason geometry is called • abstract science . A further point to be noticed in regard to the definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the ...
For this reason geometry is called • abstract science . A further point to be noticed in regard to the definitions is the relation in which they stand to the whole system of geometry . It has been already remarked that they form the ...
Página viii
... used to transfer distances , and also that all constructions must consist of straight lines and circles only . Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ...
... used to transfer distances , and also that all constructions must consist of straight lines and circles only . Axioms . From the elementary properties of geometrical figures stated in the definitions we may at once proceed to reason ...
Página 21
The reason of this is also explained on p . 8 . Ex . Show how to produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . A If two triangles have two BOOK I. 3 . 21.
The reason of this is also explained on p . 8 . Ex . Show how to produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . A If two triangles have two BOOK I. 3 . 21.
Página 30
11 , the reason of which is obvious . Ex . 1. If two isosceles triangles be described on opposite sides of the same base the straight line joining their vertices will bisect their common base at right angles . [ See fig . to the prop . ] ...
11 , the reason of which is obvious . Ex . 1. If two isosceles triangles be described on opposite sides of the same base the straight line joining their vertices will bisect their common base at right angles . [ See fig . to the prop . ] ...
Página 43
For the same reason , the exterior angle CEB of the triangle ABE is greater than the angle BAE ; much more then is the angle BDC greater than the angle BAC . Therefore , if from the ends , & c . Q.E.D. Unless the lines are drawn from ...
For the same reason , the exterior angle CEB of the triangle ABE is greater than the angle BAE ; much more then is the angle BDC greater than the angle BAC . Therefore , if from the ends , & c . Q.E.D. Unless the lines are drawn from ...
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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 |