Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 16
... surface , and a solid . ED . 1. A Point is that which has position , but not magnitude . 2. A Line is length without breadth . Corollary . The extremities of a line are points ; and the in- tersection of two lines is a point . 3. A ...
... surface , and a solid . ED . 1. A Point is that which has position , but not magnitude . 2. A Line is length without breadth . Corollary . The extremities of a line are points ; and the in- tersection of two lines is a point . 3. A ...
Seite 18
... surface described by the revolving line is called a circle . ED . 19. The fixed point about which the line revolves is called the centre of the circle ; the revolving line is called a radius ; and the curve line described by the ...
... surface described by the revolving line is called a circle . ED . 19. The fixed point about which the line revolves is called the centre of the circle ; the revolving line is called a radius ; and the curve line described by the ...
Seite 46
... surfaces are equal . Let the parallelograms ABCD , DBCF be on the same base BC , and between the same parallels AF , BC ; they are equal in surface . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be ...
... surfaces are equal . Let the parallelograms ABCD , DBCF be on the same base BC , and between the same parallels AF , BC ; they are equal in surface . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be ...
Seite 66
... surfaces , nor with solids ; because a line , a surface , and a solid are magnitudes of different kinds , and therefore cannot be compared together . — LUDLAM . A B D C Surfaces are compared with , and are measured by other sur- faces ...
... surfaces , nor with solids ; because a line , a surface , and a solid are magnitudes of different kinds , and therefore cannot be compared together . — LUDLAM . A B D C Surfaces are compared with , and are measured by other sur- faces ...
Seite 67
... surface of any plane triangle by half the same product . = = Cor . If ab , then AB BC , and the rectangle becomes a square . In this case a x b a xa , or a2 . Therefore the sur- face of a square is expressed by the second power of the ...
... surface of any plane triangle by half the same product . = = Cor . If ab , then AB BC , and the rectangle becomes a square . In this case a x b a xa , or a2 . Therefore the sur- face of a square is expressed by the second power of the ...
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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.