A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página 19
From the point C , in which the circles cut one another , draw the straight lines CA , CB to the points A and B. [ Post . 1. ] ABC shall be an equilateral triangle . € Because the point A is the centre of the circle 3 .
From the point C , in which the circles cut one another , draw the straight lines CA , CB to the points A and B. [ Post . 1. ] ABC shall be an equilateral triangle . € Because the point A is the centre of the circle 3 .
Página 20
From a given point to draw a straight line equal to a given straight line . 1 . Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC . From the point A to B draw ...
From a given point to draw a straight line equal to a given straight line . 1 . Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC . From the point A to B draw ...
Página 21
Construct and demonstrate this problem by joining A with C instead of with B. Draw the figure of this proposition when the given point is in the given line produced . PROPOSITION 3. PROBLEM . From the greater of two given straight lines ...
Construct and demonstrate this problem by joining A with C instead of with B. Draw the figure of this proposition when the given point is in the given line produced . PROPOSITION 3. PROBLEM . From the greater of two given straight lines ...
Página 25
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. The 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. The opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM .
Página 31
It is required to draw a straight line from the point Cat right angles to AB . A PROPOSITION 11. PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . 1 .
It is required to draw a straight line from the point Cat right angles to AB . A PROPOSITION 11. PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . 1 .
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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 |