A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 17
... drawn from any one point to any other point . 2. That 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 ...
... drawn from any one point to any other point . 2. That 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 ...
Página 19
... 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. BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre ...
... 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. BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre ...
Página 20
... draw from the point A a straight line equal to BC . 2 . From the point A to B draw the straight line AB ; [ Post . 1. ] and on it describe the equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F ...
... draw from the point A a straight line equal to BC . 2 . From the point A to B draw the straight line AB ; [ Post . 1. ] and on it describe the equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F ...
Página 21
... 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 , to cut off a part equal to the less . 1 . Let AB and C be the two given ...
... 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 , to cut off a part equal to the less . 1 . Let AB and C be the two given ...
Página 25
... drawn , one to show the triangle AFC , and another to show the triangle ABG . The same But as a final method may be ... [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also ...
... drawn , one to show the triangle AFC , and another to show the triangle ABG . The same But as a final method may be ... [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also ...
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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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal