Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
Im Buch
Ergebnisse 1-5 von 9
Seite 157
... pyramids take particular names accord- ing to the figure of their bases . Thus , if the base be a triangle , it is called a triangular prism or pyramid ; if a square , it is call- ed a square prism or pyramid . ED . 5. A parallelopiped ...
... pyramids take particular names accord- ing to the figure of their bases . Thus , if the base be a triangle , it is called a triangular prism or pyramid ; if a square , it is call- ed a square prism or pyramid . ED . 5. A parallelopiped ...
Seite 166
... pyramid be cut by a plane parallel to its base , the section will be similar to the base ; and the sec- tion and the base will be to each other as the squares of their distances from the vertex of the pyramid . 1. Let ABCD be a pyramid ...
... pyramid be cut by a plane parallel to its base , the section will be similar to the base ; and the sec- tion and the base will be to each other as the squares of their distances from the vertex of the pyramid . 1. Let ABCD be a pyramid ...
Seite 167
... pyramid & c . Q. E. D. PROPOSITION XII . THEOREM . If a cone be cut by a plane parallel to its base , the section will be a circle ; and the section and the base will be to each other as the squares of their distances from the vertex of ...
... pyramid & c . Q. E. D. PROPOSITION XII . THEOREM . If a cone be cut by a plane parallel to its base , the section will be a circle ; and the section and the base will be to each other as the squares of their distances from the vertex of ...
Seite 168
... Pyramids of equal bases and altitudes are equal to one another . Let the pyramids ABCD , KLMS , standing on the same plane , have equal bases ABC , KLMN , and equal altitudes DH , ST ; the pyramid ABCD is equal to KLMS , H D Let the ...
... Pyramids of equal bases and altitudes are equal to one another . Let the pyramids ABCD , KLMS , standing on the same plane , have equal bases ABC , KLMN , and equal altitudes DH , ST ; the pyramid ABCD is equal to KLMS , H D Let the ...
Seite 169
... Pyramids and cones of equal bases and altitudes are equal to one another . Let the pyramid ABCD and the cone KLMS stand on equal bases ABC , KLMN , and have equal altitudes DH , ST ; the pyramid is equal to the cone . Let the sections ...
... Pyramids and cones of equal bases and altitudes are equal to one another . Let the pyramid ABCD and the cone KLMS stand on equal bases ABC , KLMN , and have equal altitudes DH , ST ; the pyramid is equal to the cone . Let the sections ...
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 36 - Any two sides of a triangle are together greater than the third side.
Seite 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.
Seite 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...
Seite 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.
Seite 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Seite 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.
Seite 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...
Seite 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.