Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 157
... prism or pyramid ; if a square , it is call- ed a square prism or pyramid . ED . 5. A parallelopiped is a prism , or solid figure , contained by six quadrilateral figures , whereof every opposite two are pa- rallel . 6. A cube is a ...
... prism or pyramid ; if a square , it is call- ed a square prism or pyramid . ED . 5. A parallelopiped is a prism , or solid figure , contained by six quadrilateral figures , whereof every opposite two are pa- rallel . 6. A cube is a ...
Σελίδα 160
... prism CAE is equal to the prism CBE ( 1. 12 ) , and the solid AB is divided into two equal prisms by the plane CDEF . There- fore , if a solid & c . Q. E. D. PROPOSITION IV . THEOREM . If a prism be cut 160 ELEMENTS OF.
... prism CAE is equal to the prism CBE ( 1. 12 ) , and the solid AB is divided into two equal prisms by the plane CDEF . There- fore , if a solid & c . Q. E. D. PROPOSITION IV . THEOREM . If a prism be cut 160 ELEMENTS OF.
Σελίδα 161
... prism be cut by a plane parallel to the base the section will be equal and like to the base Let LB be a prism , of which the base is ABCDE , and a section parallel to the base is IGHFK ; the section is equal to and like the base . Draw ...
... prism be cut by a plane parallel to the base the section will be equal and like to the base Let LB be a prism , of which the base is ABCDE , and a section parallel to the base is IGHFK ; the section is equal to and like the base . Draw ...
Σελίδα 162
... prisms , and GB a cylinder , having equal bases ABC , and equal altitudes ; the two prisms are equal to each other and to the cylinder . L H G L D E H I C B B A A B Suppose the prisms and cylinder to stand on the same plane , and be cut ...
... prisms , and GB a cylinder , having equal bases ABC , and equal altitudes ; the two prisms are equal to each other and to the cylinder . L H G L D E H I C B B A A B Suppose the prisms and cylinder to stand on the same plane , and be cut ...
Σελίδα 163
... prisms is equal to the corresponding section of the cylinder . Now if we consider these parallel sections as plates ... prisms & c . Q. E. D. See Note . COR . Rectangular parallelopipeds of equal bases and alti- tudes are equal to one ...
... prisms is equal to the corresponding section of the cylinder . Now if we consider these parallel sections as plates ... prisms & c . Q. E. D. See Note . COR . Rectangular parallelopipeds of equal bases and alti- tudes are equal to one ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 36 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 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...
Σελίδα 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.