A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 17
... produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site ... produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from ...
... produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site ... produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from ...
Página 20
... produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis- tance DG , describe the H circle GKL ...
... produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis- tance DG , describe the H circle GKL ...
Página 21
... produced . PROPOSITION 3. PROBLEM . From the greater of two given straight lines , to cut off a part equal to the ... produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . If two triangles have two ...
... produced . PROPOSITION 3. PROBLEM . From the greater of two given straight lines , to cut off a part equal to the ... produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . If two triangles have two ...
Página 23
... produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the 1. side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC ...
... produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the 1. side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC ...
Página 27
... produce AC , AD to E , F. 3 . Then because AC is equal to AD , in the triangle ACD [ Hyp . ] , the angles ECD , FDC , on the other side of the base CD , are equal to one another . [ I. 5. ] But the angle ECD is greater than the A , E ...
... produce AC , AD to E , F. 3 . Then because AC is equal to AD , in the triangle ACD [ Hyp . ] , the angles ECD , FDC , on the other side of the base CD , are equal to one another . [ I. 5. ] But the angle ECD is greater than the A , E ...
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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