A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 28
Página 19
... 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 ... a given point to draw BOOK I. 1 . 19.
... 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 ... a given point to draw BOOK I. 1 . 19.
Página 20
Euclides Charles Mansford. PROPOSITION 2. PROBLEM . 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 ...
Euclides Charles Mansford. PROPOSITION 2. PROBLEM . 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 ...
Página 21
... A with C instead of with B. 2. 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 ...
... A with C instead of with B. 2. 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 ...
Página 30
... given rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not described on the side of DE remote from A the point F might fall either , 1. Within the angle BAC , as in the prop . 2. On the ...
... given rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not described on the side of DE remote from A the point F might fall either , 1. Within the angle BAC , as in the prop . 2. On the ...
Página 31
Euclides Charles Mansford. PROPOSITION 10. PROBLEM . To bisect a given finite straight line , that is to divide it into two equal parts . 1 . Let AB be the given ... point D. D Because AC is equal to CB [ Def . 24 ] , and CD 3 . is common to ...
Euclides Charles Mansford. PROPOSITION 10. PROBLEM . To bisect a given finite straight line , that is to divide it into two equal parts . 1 . Let AB be the given ... point D. D Because AC is equal to CB [ Def . 24 ] , and CD 3 . is common to ...
Otras ediciones - Ver todas
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