Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 sider |
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Resultat 1-5 av 26
Side 29
... angle equal to the three sides of the other , each to oach , they are equal in all respects . Let ABC , DEF be two ... BAC is equal to the whole angle BGC . But the angle BGC is , by hypothesis , equal to the angle EDF ; therefore also ...
... angle equal to the three sides of the other , each to oach , they are equal in all respects . Let ABC , DEF be two ... BAC is equal to the whole angle BGC . But the angle BGC is , by hypothesis , equal to the angle EDF ; therefore also ...
Side 30
... angle BAC . Because AD is equal to AE , and AF is common to the two triangles DAF , EAF , and DF is equal to EF ; the angle DAF is equal to EAF ( 8. 1. ) ; where- fore the angle BAC is bisect- ed by the straight line AF . Which was to ...
... angle BAC . Because AD is equal to AE , and AF is common to the two triangles DAF , EAF , and DF is equal to EF ; the angle DAF is equal to EAF ( 8. 1. ) ; where- fore the angle BAC is bisect- ed by the straight line AF . Which was to ...
Side 35
... angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE ... angle AEB is equal to the angle CEF ( 15. 1. ) ; therefore the base AB is equal to the base CF ( 4. 1. ) , and the ...
... angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE ... angle AEB is equal to the angle CEF ( 15. 1. ) ; therefore the base AB is equal to the base CF ( 4. 1. ) , and the ...
Side 43
... BAC , ACE are e- qual ( Prop . 29. ) ; and be- cause AB is parallel to B A € CE , and BD meets them , the exterior angle ECD is equal to the interior and opposite angle B. Hence the whole exterior angle ACD is equal to the two interior ...
... BAC , ACE are e- qual ( Prop . 29. ) ; and be- cause AB is parallel to B A € CE , and BD meets them , the exterior angle ECD is equal to the interior and opposite angle B. Hence the whole exterior angle ACD is equal to the two interior ...
Side 45
... angles ABC , BCA in one equal to two agles BCD , CBD in the other , each to each , therefore the remaining angles BAC , BDC are equal ( 2 Cor . 32. ) , and the whole angles ABD , ACD are equal . Hence the opposite angles of a paral ...
... angles ABC , BCA in one equal to two agles BCD , CBD in the other , each to each , therefore the remaining angles BAC , BDC are equal ( 2 Cor . 32. ) , and the whole angles ABD , ACD are equal . Hence the opposite angles of a paral ...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2016 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Ingen forhåndsvisning tilgjengelig - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Populære avsnitt
Side 36 - Any two sides of a triangle are together greater than the third side.
Side 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Side 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Side 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Side 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Side 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Side 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.