A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 43
... PROBLEM . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . Let A , B , C be the three given straight lines , of 1 . which any two ...
... PROBLEM . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . Let A , B , C be the three given straight lines , of 1 . which any two ...
Página 45
... PROBLEM . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the 1 . given point in it , and DCE the rectilineal angle ; it is required ...
... PROBLEM . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the 1 . given point in it , and DCE the rectilineal angle ; it is required ...
Página 56
... GKD ; [ Ax . 1. ] and they are alternate angles ; therefore AB is parallel to CD . [ I. 27. ] Therefore , straight lines , & c . Q.E.D. PROPOSITION 31. PROBLEM . To draw a straight line through 56 EUCLID'S ELEMENTS .
... GKD ; [ Ax . 1. ] and they are alternate angles ; therefore AB is parallel to CD . [ I. 27. ] Therefore , straight lines , & c . Q.E.D. PROPOSITION 31. PROBLEM . To draw a straight line through 56 EUCLID'S ELEMENTS .
Página 57
Euclides Charles Mansford. PROPOSITION 31. PROBLEM . To draw a straight line through a given point parallel to a given straight line . 1 . Let A be the given point , and BC the given straight line : it is required to draw a straight line ...
Euclides Charles Mansford. PROPOSITION 31. PROBLEM . To draw a straight line through a given point parallel to a given straight line . 1 . Let A be the given point , and BC the given straight line : it is required to draw a straight line ...
Página 69
... PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . A. Let ABC be the given triangle , and D the given rectilineal angle : it is required to ...
... PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . A. Let ABC be the given triangle , and D the given rectilineal angle : it is required to ...
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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