A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 72
... ABCD be the given rectilineal figure , and 1. E the given rectilineal angle : it is required to describe a parallelogram equal to ABCD , and having an angle equal to E. A F H M 2 . B C Join DB , and describe the paralellogram FH equal ...
... ABCD be the given rectilineal figure , and 1. E the given rectilineal angle : it is required to describe a parallelogram equal to ABCD , and having an angle equal to E. A F H M 2 . B C Join DB , and describe the paralellogram FH equal ...
Página 73
... ABCD is equal to the whole parallelogram KFLM . [ Ax . 2. ] Therefore , the parallelogram KFLM has been de- scribed equal to the given rectilineal figure ABCD , and having the angle FKM equal to the given angle E. Q.E.F. COROLLARY ...
... ABCD is equal to the whole parallelogram KFLM . [ Ax . 2. ] Therefore , the parallelogram KFLM has been de- scribed equal to the given rectilineal figure ABCD , and having the angle FKM equal to the given angle E. Q.E.F. COROLLARY ...
Página 105
... ABCD be the quadrilateral , and suppose AE drawn through the angle A bisects the figure . Draw the diagonals AC , BD and bisect BD in 0. Join AO , CO . Then the triangles AOD , AOB are equal I 38 , as also the triangles BOC , DOC ...
... ABCD be the quadrilateral , and suppose AE drawn through the angle A bisects the figure . Draw the diagonals AC , BD and bisect BD in 0. Join AO , CO . Then the triangles AOD , AOB are equal I 38 , as also the triangles BOC , DOC ...
Página 107
... ABCD and AEFD stand on the same base AD and AEFD lies wholly within ABCD . Show that the perimeter of AEFD is less than that of ABCD . [ Produce EF to meet AB and CD in G and H. ] 20. The shorter diagonal of a rhombus passes through the ...
... ABCD and AEFD stand on the same base AD and AEFD lies wholly within ABCD . Show that the perimeter of AEFD is less than that of ABCD . [ Produce EF to meet AB and CD in G and H. ] 20. The shorter diagonal of a rhombus passes through the ...
Página 109
... ABCD is a trapezium having the side AB parallel to CD . Through the middle point of BC , PQ is drawn parallel to AD meeting AB and DC ( produced if necessary ) in P and Q. that the parallelogram AQ is equal to the trapezium ABCD . Shew ...
... ABCD is a trapezium having the side AB parallel to CD . Through the middle point of BC , PQ is drawn parallel to AD meeting AB and DC ( produced if necessary ) in P and Q. that the parallelogram AQ is equal to the trapezium ABCD . Shew ...
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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