A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página v
... things which exist in the mind , and not to things which we see around us . A sheet of paper for instance , which is usually taken to represent a plane surface , always has some roughness of face , and some warping of its surface , and ...
... things which exist in the mind , and not to things which we see around us . A sheet of paper for instance , which is usually taken to represent a plane surface , always has some roughness of face , and some warping of its surface , and ...
Página vii
... things defined , and thus prevent ambiguity and confusion . In other words they mark out define the precise meaning to be attached to the terms employed , and secure that they shall be used in this sense and no other throughout the work ...
... things defined , and thus prevent ambiguity and confusion . In other words they mark out define the precise meaning to be attached to the terms employed , and secure that they shall be used in this sense and no other throughout the work ...
Página 14
... thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point ...
... thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such , that all straight lines drawn from a certain point ...
Página 17
... a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
... a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
Página 18
Euclides Charles MANSFORD. AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If ... Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal to one ...
Euclides Charles MANSFORD. AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If ... Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal to one ...
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