A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 21
... problem by joining 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 ...
... problem by joining 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 ...
Página 29
... of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
... of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
Página 30
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle , that is to divide it into two equal angles . 1 . Let BAC be the given recti ... PROBLEM . To bisect a given finite straight 30 EUCLID'S ELEMENTS .
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle , that is to divide it into two equal angles . 1 . Let BAC be the given recti ... PROBLEM . To bisect a given finite straight 30 EUCLID'S ELEMENTS .
Página 31
... PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line , and C the given point in it . It is re- quired to draw a straight line from the point ...
... PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line , and C the given point in it . It is re- quired to draw a straight line from the point ...
Página 32
... PROBLEM . To draw a straight line perpendicular to a given straight line of unlimited length , from a given point without it . 1 . Let AB be the given straight line , which may be produced to any length both ways , and let C be a given ...
... PROBLEM . To draw a straight line perpendicular to a given straight line of unlimited length , from a given point without it . 1 . Let AB be the given straight line , which may be produced to any length both ways , and let C be a given ...
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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