Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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... 11 158 13 161 15 163 25 163 4 bot . 169 4 175 3 bot . For axis read axes For 11 read 12 For p read n After cylinders read of equal altitudes For 13 12 read 11 12 For 17 read 16 A. If the antecedents in two proportions be the same ERRATA .
... 11 158 13 161 15 163 25 163 4 bot . 169 4 175 3 bot . For axis read axes For 11 read 12 For p read n After cylinders read of equal altitudes For 13 12 read 11 12 For 17 read 16 A. If the antecedents in two proportions be the same ERRATA .
Página 158
... cylinder is the fixed straight line about which the rectangle revolves . 16. The bases of a cylinder are the circles described by the two revolving opposite sides of the rectangle . 17. Similar cones and cylinders are those which have ...
... cylinder is the fixed straight line about which the rectangle revolves . 16. The bases of a cylinder are the circles described by the two revolving opposite sides of the rectangle . 17. Similar cones and cylinders are those which have ...
Página 161
... cylinder be cut by a plane parallel to the base , the section will be a circle , and equal to the base Let AH be a cylinder , of which the base is ABC , and a section parallel to the base is DFE ; the section is a cir- cle equal to the ...
... cylinder be cut by a plane parallel to the base , the section will be a circle , and equal to the base Let AH be a cylinder , of which the base is ABC , and a section parallel to the base is DFE ; the section is a cir- cle equal to the ...
Página 162
... cylinder & c . Q. E. D. PROPOSITION VI . THEOREM . Prisms and cylinders of equal bases and altitudes are all equal to one another . Let LB , LB be two prisms , and GB a cylinder , having equal bases ABC , and equal altitudes ; the two ...
... cylinder & c . Q. E. D. PROPOSITION VI . THEOREM . Prisms and cylinders of equal bases and altitudes are all equal to one another . Let LB , LB be two prisms , and GB a cylinder , having equal bases ABC , and equal altitudes ; the two ...
Página 163
... cylinder . Now if we consider these parallel sections as plates ( or lamina ) extremely thin , and their number as ... cylinders are to one another as their ba- ses . For all prisms , cylinders , and rectangular parallelopi- peds of ...
... cylinder . Now if we consider these parallel sections as plates ( or lamina ) extremely thin , and their number as ... cylinders are to one another as their ba- ses . For all prisms , cylinders , and rectangular parallelopi- peds of ...
Otras ediciones - Ver todas
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Términos y frases comunes
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
Pasajes populares
Página 36 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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...
Página 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.
Página 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Página 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.
Página 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...
Página 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.