A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página ix
... a triangle are together greater than the third side , " and " To bisect a given finite straight line , that is , to divide it into two equal parts . " These statements form what is called the general enunciation of the proposition ...
... a triangle are together greater than the third side , " and " To bisect a given finite straight line , that is , to divide it into two equal parts . " These statements form what is called the general enunciation of the proposition ...
Página 19
Euclides Charles Mansford. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . Let AB be the given straight line . It is re- quired to describe an equilateral triangle on AB . From the centre A ...
Euclides Charles Mansford. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . Let AB be the given straight line . It is re- quired to describe an equilateral triangle on AB . From the centre A ...
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
... line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con ... given rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not ... a given finite straight 30 EUCLID'S ELEMENTS .
... line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con ... given rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not ... a given finite straight 30 EUCLID'S ELEMENTS .
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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