Notes:
Upper: | ΑΒΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΩ |
Lower: | αβγδεζηθικλμνξοπρςστυφχψω |
Upper+Acute: | ΆΈΉΊΌΎΏ |
Lower+Acute: | άέήίόύώ |
Upper+Grave: | ᾺῈῊῚῸῪῺ |
Lower+Grave: | ὰὲὴὶὸὺὼ |
Upper+Circumflex: | |
Lower+Circumflex: | ᾶῆῖῦῶ |
Upper+Lenis: | ἈἘἨἸὈὨ |
Lower+Lenis: | ἀἐἠἰὀὐὠ |
Upper+Acute+Lenis: | ἌἜἬἼὌὬ |
Lower+Acute+Lenis: | ἄἔἤἴὄὔὤ |
Upper+Grave+Lenis: | ἊἚἪἺὊὪ |
Lower+Grave+Lenis: | ἂἒἢἲὂὒὢ |
Upper+Circumflex+Lenis: | ἎἮἾὮ |
Lower+Circumflex+Lenis: | ἆἦἶὖὦ |
Upper+Asper: | ἉἙἩἹὉὙὩ |
Lower+Asper: | ἁἑἡἱὁὑὡ |
Upper+Acute+Asper: | ἍἝἭἽὍὝὭ |
Lower+Acute+Asper: | ἅἕἥἵὅὕὥ |
Upper+Grave+Asper: | ἋἛἫἻὋὛὫ |
Lower+Grave+Asper: | ἃἓἣἳὃὓὣ |
Upper+Circumflex+Asper: | ἏἯἿὟὯ |
Lower+Circumflex+Asper: | ἇἧἷὗὧ |
Upper+Diaeresis: | |
Lower+Diaeresis: | |
Upper+Acute+Diaeresis: | |
Lower+Acute+Diaeresis: | |
Upper+Grave+Diaeresis: | |
Lower+Grave+Diaeresis: | |
Upper+Circumflex+Diaeresis: | |
Lower+Circumflex+Diaeresis: | |
Upper+Subscript: | ᾼῌῼ |
Lower+Subscript: | ᾳῃῳ |
Upper+Acute+Subscript: | |
Lower+Acute+Subscript: | ᾴῄῴ |
Upper+Grave+Subscript: | |
Lower+Grave+Subscript: | ᾲῂῲ |
Upper+Circumflex+Subscript: | |
Lower+Circumflex+Subscript: | ᾷῇῷ |
Upper+Lenis+Subscript: | ᾈᾘᾨ |
Lower+Lenis+Subscript: | ᾀᾐᾠ |
Upper+Acute+Lenis+Subscript: | ᾌᾜᾬ |
Lower+Acute+Lenis+Subscript: | ᾄᾔᾤ |
Upper+Grave+Lenis+Subscript: | ᾊᾚᾪ |
Lower+Grave+Lenis+Subscript: | ᾂᾒᾢ |
Upper+Circumflex+Lenis+Subscript: | ᾎᾞᾮ |
Lower+Circumflex+Lenis+Subscript: | ᾆᾖᾦ |
Upper+Asper+Subscript: | ᾉᾙᾩ |
Lower+Asper+Subscript: | ᾁᾑᾡ |
Upper+Acute+Asper+Subscript: | ᾍᾝᾭ |
Lower+Acute+Asper+Subscript: | ᾅᾕᾥ |
Upper+Grave+Asper+Subscript: | ᾋᾛᾫ |
Lower+Grave+Asper+Subscript: | ᾃᾓᾣ |
Upper+Circumflex+Asper+Subscript: | ᾏᾟᾯ |
Lower+Circumflex+Asper+Subscript: | ᾇᾗᾧ |
Upper+Diaeresis+Subscript: | |
Lower+Diaeresis+Subscript: | |
Upper+Acute+Diaeresis+Subscript: | |
Lower+Acute+Diaeresis+Subscript: | |
Upper+Grave+Diaeresis+Subscript: | |
Lower+Grave+Diaeresis+Subscript: | |
Upper+Circumflex+Diaeresis+Subscript: | |
Lower+Circumflex+Diaeresis+Subscript: |
Rules:
b
ᾰ
ᾱ
Ᾰ
Ᾱ
᾽
ι
᾿
c
῀
῁
῍
῎
῏
d
ῐ
ῑ
ῒ
ΐ
ῗ
Ῐ
Ῑ
῝
῞
῟
e
ῠ
ῡ
ΰ
ῢ
ῤ
ῥ
ῧ
Ῠ
Ῡ
Ῥ
῭
΅
`
f
´
῾
è È é É ê Ê ẽ Ẽ ē Ē e̅ E̅ ĕ Ĕ ė Ė ë Ë ẻ Ẻ e̊ E̊ e̋ E̋ ě Ě e̍ E̍ e̎ E̎ ȅ Ȅ
e̐ E̐ ȇ Ȇ e̒ E̒ e̓ E̓ e̔ E̔ e̕ E̕ e̖ E̖ e̗ E̗ e̘ E̘ e̙ E̙ e̚ E̚ e̛ E̛ e̜ E̜ e̝ E̝ e̞ E̞ e̟ E̟
e̠ E̠ e̡ E̡ e̢ E̢ ẹ Ẹ e̤ E̤ e̥ E̥ e̦ E̦ ȩ Ȩ ę Ę e̩ E̩ e̪ E̪ e̫ E̫ e̬ E̬ ḙ Ḙ e̮ E̮ e̯ E̯
ḛ Ḛ e̱ E̱ e̲ E̲ e̳ E̳ e̴ E̴ e̵ E̵ e̶ E̶ e̷ E̷ e̸ E̸ e̹ E̹ e̺ E̺ e̻ E̻ e̼ E̼ e̽ E̽ e̾ E̾ e̿ E̿
0̇ 1̇ 2̇ 3̇ 4̇ 5̇ 6̇ 7̇ 8̇ 9̇ ṅ 0̇ 1̇ 2̇ 3̇ 4̇ 5̇ 6̇ 7̇ 8̇
0, 1, 2, 3, 4, 5, 6, 7, 8
ĖėĠġİıŻż ė Ė ë Ë
∈∉⊆∪∩∅←→≤≥≠⋅
Rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble
Greek rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble.
A Meander curve is one of a family of curves used to model several phenomena including river meanders.
River Meanders--theory of Minimum Variance by W.B. Langbein, L.B. Leopold
In Euclidean geometry, a circle is that set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference, which more usually means the length of the circle.
In coordinate geometry a circle with centre (x0,y0) and radius r is the set of all points (x,y) such that
(x - x0)2 + (y - y0)2 = r2
A circle is thus a kind of conic section, with eccentricity zero. All circles are similar, so the ratio between the circumference and radius and that between the area and radius square are both constants. These are 2π and π, respectively, and this is the best known definitions of that constant.
A line cutting a circle in two places is called a secant, and a line touching the circle in one place is called a tangent. The tangent lines are necessarily perpendicular to the radii, segments connecting the centre to a point on the circle, whose length matches the definition given above. The segment of a secant bound by the circle is called a chord, and the longest chord is that which passes through the centre, called the diameter and divided into two radii.
A segment of a circle bound by two radii is called an arc, and the ratio between the length of an arc and the radius defines the angle between them in radians. Some theorems should be mentioned here.
In affine geometry all circles and ellipses become congruent, and in projective geometry the other conic sections join them. In topology all simple closed curves are homeomorphic to circles, and the word circle is often applied to them as a result. The 3-dimensional analog of the circle is the sphere.
Length of the circle's circumference = 2 × pi × radius
Area of the circle = pi × square(radius)
Circles are simple shapes of Euclidean geometry. It is the locus of all points in a plane at a constant distance, called the radius, from a fixed point, called the center. Through any three points not on the same line, there passes one and only one circle.
A chord of a circle is a line segment whose both endpoints lie on the circle. A diameter is a chord passing through the center. The length of a diameter is twice the radius. A diameter is the largest chord in a circle.
Circles are simple closed curves which divide the plane into an interior and an exterior. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. An arc is any connected part of a circle.
A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
A circle in the geometry is a round two-dimensional figure that is formed by all points that same distance to a chosen point. The choice is the focal point, indicated m in the figure, and the chosen distance is called the jet, with r indicated in the figure.
Sometimes to the size of a circle to indicate the radius instead used the diameter (d in the figure). This is the greatest distance between two points of the circle, and exactly 2 times as large as the jet.
Sometimes the circle is not the curve on the outside, but the collection of all points within that curve. Mathematically speaking, that is incorrect, all points within a circle forms a disk.
A segment on the border on the circle, called a chord. Each chord passing through the centre of the circle has a diameter of that circle. The length of the diameter is the diameter.
In Euclidean geometry, a circle is the place of the points of the plan that are situated at a distance date, said radius from the circle, from a fixed point, said the centre circle. The circles are simple closed curves, which divide the floor in an interior and exterior. They are conical with eccentricity nothing. The plan contained in a circle along the circumference, is called circle.
The term district is one of the most important terms of plane geometry. A circle is defined as the quantity (geometric place) of all points of the Euclidean levels, the distance from a given point M equal to a fixed number of positive r is rational. The circle is also the location of all points line with this property.
The term circle has several meanings derived from its original meaning geometric. In its first sense, the circle is "round", the ideal figure which reduces the form of numerous natural or artificial objects: the Sun, an eye, the circumference of a tree or a wheel.
For a long time, the current language employed the term both to appoint the curve (circumference) that it delineates the surface. Nowadays, mathematics, the circle is limited to the curve, the surface is called disk.
A circle is a figure without any angle. A circle is defined by a set of points at equal distance from a known center of the circle.
A role-playing video game (RPG) is one of a loosely defined genre of computer and video games with origins in pencil and paper role-playing games such as Dungeons & Dragons, borrowing much of their terminology, settings and game mechanics.
While no single feature or characteristic of a video game can be used to identify it as an RPG, there are several characteristics of the genre as a whole.
non-player characters (NPCs) run shops with equipment and supplies, ask the player to complete quests in return for a reward, give advice and information about playing the game, or simply provide additional color.
Book 1 Definitions 1: Point 2: Line 3: Extremities of lines 4: Straight line 5: Surface 6: Extremities of Surfaces 7: Plane surface 8: Plane angle 9: Rectilineal angle 10: Right angles 11: Obtuse angle 12: Acute angle 13: Boundary 14: Figure 15: Circle 16: Circle center 17: Circle diameter 18: Semicircle 19: Rectilineal figure 20: Equilateral, isosceles, scalene triangles 21: Right, obtuse, acute angled triangles 22: Square, oblong, rhombus, rhomboid, trapezia 23: Parallel lines Postulates 1: Draw a straight line on two points 2: Produce a finite straight line 3: Draw a circle with given center and distance 4: All right angles are equal 5: Intersection of two straight lines on a third straight lines so the included angles are less than two right angles Common Notions 1: Things equal to the same thing are equal 2: Equals added to equals are equal 3: Equals subtracted from equals are equal 4: Things which coincide are equal 5: A whole is greater than a part Propositions 1: Construct an equilateral triangle 2: Mark a segment on a given straight line equal to a given straight line segment 3: Cut from a straight line segment a segment equal to a given shorter line segment 4: Side-Angle-Side 5: Isosceles triangle theorem (Pons asinurum) 6: Isosceles triangle theorem converse. 7: Length of sides of a triangle on a given base determine the triangle. 8: Side-Side-Side. 9: Construct an angle bisector. 10: Construct a bisector of a line segment. 11: Construct a line perpendicular to a given line at a given point on the line. 12: Construct a line perpendicular to a given line through given point not on the line. 13: Adjacent angles on a line equal two right angles. 14: Converse to 13. 15: Opposite angles 16: Exterior angle theorem 17: Two angles in a triangle are less than two right angles. 18: Greater side subtends greater angle 19: Greater angle subtended by greater side 20: Two sides of a triangle greater than the remaining side (triangle inequality) 21: Triangle within another triangle on the same base has smaller sides and greater angle. 22: Construct triangle with sides equal to given segments. 23: On a given line, construct an angle equal to a given angle at a given point. 24: Given two triangles with two equal sides, the triangle with the greater angle will have the greater base. 25: Converse of 24 26: Angle-Side-Angle, Side-Angle-Angle 27: If alternate angles are equal then the lines are parallel 28: In interior angles equal two right angles then the lines are parallel 29: Converse to 27 and 28 30: Lines parallel to the same line are parallel 31: Construct a line parallel to a given line through a given point. 32: Angles in a triangle are two right angles. 33: Lines joining equal and parallel segments are equal and parallel 34: In a parallelogram, opposite sides and angles are equal, a diameter bisects the areas. 35: Parallelograms having the same base and equal parallels are equal 36: Parallelograms having the equal bases and the same parallels are equal 37: Triangles on the same base and in the same parallels are equal 38: Triangles on equal bases and in the same parallels are equal 39: Equal triangles on the same base are in the same parallels 40: Equal triangles on equal bases are in the same parallels 41: Parallelogram is double a triangle on the same base and the same parallels 42: Construct a parallelogram in a given angle equal to a given triangle. 43: In a parallelogram, the complements of parallelogram about a diameter are equal. 44: Construct a parallelogram on a given line equal to a given triangle. 45: Construct a parallelogram in a given angle equal to a given figure 46: Construct a square on a given line. 47: Pythagorean theorem 48: Converse of 47
The first few and selected larger members of the
sequence of factorials . The values specified in scientific notation are rounded to the displayed precision.
The first few amicable pairs are: (220, 284), (1184, 1210), (2620, 2924), (5020, 5564), (6232, 6368) .
Use the notation to indicate that is a point in represented by the vector .
Notes:
Upper: | ΑΒΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΩ |
Lower: | αβγδεζηθικλμνξοπρςστυφχψω |
Upper+Acute: | ΆΈΉΊΌΎΏ |
Lower+Acute: | άέήίόύώ |
Upper+Grave: | ᾺῈῊῚῸῪῺ |
Lower+Grave: | ὰὲὴὶὸὺὼ |
Upper+Circumflex: | |
Lower+Circumflex: | ᾶῆῖῦῶ |
Upper+Lenis: | ἈἘἨἸὈὨ |
Lower+Lenis: | ἀἐἠἰὀὐὠ |
Upper+Acute+Lenis: | ἌἜἬἼὌὬ |
Lower+Acute+Lenis: | ἄἔἤἴὄὔὤ |
Upper+Grave+Lenis: | ἊἚἪἺὊὪ |
Lower+Grave+Lenis: | ἂἒἢἲὂὒὢ |
Upper+Circumflex+Lenis: | ἎἮἾὮ |
Lower+Circumflex+Lenis: | ἆἦἶὖὦ |
Upper+Asper: | ἉἙἩἹὉὙὩ |
Lower+Asper: | ἁἑἡἱὁὑὡ |
Upper+Acute+Asper: | ἍἝἭἽὍὝὭ |
Lower+Acute+Asper: | ἅἕἥἵὅὕὥ |
Upper+Grave+Asper: | ἋἛἫἻὋὛὫ |
Lower+Grave+Asper: | ἃἓἣἳὃὓὣ |
Upper+Circumflex+Asper: | ἏἯἿὟὯ |
Lower+Circumflex+Asper: | ἇἧἷὗὧ |
Upper+Diaeresis: | |
Lower+Diaeresis: | |
Upper+Acute+Diaeresis: | |
Lower+Acute+Diaeresis: | |
Upper+Grave+Diaeresis: | |
Lower+Grave+Diaeresis: | |
Upper+Circumflex+Diaeresis: | |
Lower+Circumflex+Diaeresis: | |
Upper+Subscript: | ᾼῌῼ |
Lower+Subscript: | ᾳῃῳ |
Upper+Acute+Subscript: | |
Lower+Acute+Subscript: | ᾴῄῴ |
Upper+Grave+Subscript: | |
Lower+Grave+Subscript: | ᾲῂῲ |
Upper+Circumflex+Subscript: | |
Lower+Circumflex+Subscript: | ᾷῇῷ |
Upper+Lenis+Subscript: | ᾈᾘᾨ |
Lower+Lenis+Subscript: | ᾀᾐᾠ |
Upper+Acute+Lenis+Subscript: | ᾌᾜᾬ |
Lower+Acute+Lenis+Subscript: | ᾄᾔᾤ |
Upper+Grave+Lenis+Subscript: | ᾊᾚᾪ |
Lower+Grave+Lenis+Subscript: | ᾂᾒᾢ |
Upper+Circumflex+Lenis+Subscript: | ᾎᾞᾮ |
Lower+Circumflex+Lenis+Subscript: | ᾆᾖᾦ |
Upper+Asper+Subscript: | ᾉᾙᾩ |
Lower+Asper+Subscript: | ᾁᾑᾡ |
Upper+Acute+Asper+Subscript: | ᾍᾝᾭ |
Lower+Acute+Asper+Subscript: | ᾅᾕᾥ |
Upper+Grave+Asper+Subscript: | ᾋᾛᾫ |
Lower+Grave+Asper+Subscript: | ᾃᾓᾣ |
Upper+Circumflex+Asper+Subscript: | ᾏᾟᾯ |
Lower+Circumflex+Asper+Subscript: | ᾇᾗᾧ |
Upper+Diaeresis+Subscript: | |
Lower+Diaeresis+Subscript: | |
Upper+Acute+Diaeresis+Subscript: | |
Lower+Acute+Diaeresis+Subscript: | |
Upper+Grave+Diaeresis+Subscript: | |
Lower+Grave+Diaeresis+Subscript: | |
Upper+Circumflex+Diaeresis+Subscript: | |
Lower+Circumflex+Diaeresis+Subscript: |
Rules:
b
ᾰ
ᾱ
Ᾰ
Ᾱ
᾽
ι
᾿
c
῀
῁
῍
῎
῏
d
ῐ
ῑ
ῒ
ΐ
ῗ
Ῐ
Ῑ
῝
῞
῟
e
ῠ
ῡ
ΰ
ῢ
ῤ
ῥ
ῧ
Ῠ
Ῡ
Ῥ
῭
΅
`
f
´
῾
è È é É ê Ê ẽ Ẽ ē Ē e̅ E̅ ĕ Ĕ ė Ė ë Ë ẻ Ẻ e̊ E̊ e̋ E̋ ě Ě e̍ E̍ e̎ E̎ ȅ Ȅ
e̐ E̐ ȇ Ȇ e̒ E̒ e̓ E̓ e̔ E̔ e̕ E̕ e̖ E̖ e̗ E̗ e̘ E̘ e̙ E̙ e̚ E̚ e̛ E̛ e̜ E̜ e̝ E̝ e̞ E̞ e̟ E̟
e̠ E̠ e̡ E̡ e̢ E̢ ẹ Ẹ e̤ E̤ e̥ E̥ e̦ E̦ ȩ Ȩ ę Ę e̩ E̩ e̪ E̪ e̫ E̫ e̬ E̬ ḙ Ḙ e̮ E̮ e̯ E̯
ḛ Ḛ e̱ E̱ e̲ E̲ e̳ E̳ e̴ E̴ e̵ E̵ e̶ E̶ e̷ E̷ e̸ E̸ e̹ E̹ e̺ E̺ e̻ E̻ e̼ E̼ e̽ E̽ e̾ E̾ e̿ E̿
0̇ 1̇ 2̇ 3̇ 4̇ 5̇ 6̇ 7̇ 8̇ 9̇ ṅ 0̇ 1̇ 2̇ 3̇ 4̇ 5̇ 6̇ 7̇ 8̇
0, 1, 2, 3, 4, 5, 6, 7, 8
ĖėĠġİıŻż ė Ė ë Ë
∈∉⊆∪∩∅←→≤≥≠⋅
Rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble
Greek rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble rubble.
A Meander curve is one of a family of curves used to model several phenomena including river meanders.
River Meanders--theory of Minimum Variance by W.B. Langbein, L.B. Leopold
In Euclidean geometry, a circle is that set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference, which more usually means the length of the circle.
In coordinate geometry a circle with centre (x0,y0) and radius r is the set of all points (x,y) such that
(x - x0)2 + (y - y0)2 = r2
A circle is thus a kind of conic section, with eccentricity zero. All circles are similar, so the ratio between the circumference and radius and that between the area and radius square are both constants. These are 2π and π, respectively, and this is the best known definitions of that constant.
A line cutting a circle in two places is called a secant, and a line touching the circle in one place is called a tangent. The tangent lines are necessarily perpendicular to the radii, segments connecting the centre to a point on the circle, whose length matches the definition given above. The segment of a secant bound by the circle is called a chord, and the longest chord is that which passes through the centre, called the diameter and divided into two radii.
A segment of a circle bound by two radii is called an arc, and the ratio between the length of an arc and the radius defines the angle between them in radians. Some theorems should be mentioned here.
In affine geometry all circles and ellipses become congruent, and in projective geometry the other conic sections join them. In topology all simple closed curves are homeomorphic to circles, and the word circle is often applied to them as a result. The 3-dimensional analog of the circle is the sphere.
Length of the circle's circumference = 2 × pi × radius
Area of the circle = pi × square(radius)
Circles are simple shapes of Euclidean geometry. It is the locus of all points in a plane at a constant distance, called the radius, from a fixed point, called the center. Through any three points not on the same line, there passes one and only one circle.
A chord of a circle is a line segment whose both endpoints lie on the circle. A diameter is a chord passing through the center. The length of a diameter is twice the radius. A diameter is the largest chord in a circle.
Circles are simple closed curves which divide the plane into an interior and an exterior. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. An arc is any connected part of a circle.
A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
A circle in the geometry is a round two-dimensional figure that is formed by all points that same distance to a chosen point. The choice is the focal point, indicated m in the figure, and the chosen distance is called the jet, with r indicated in the figure.
Sometimes to the size of a circle to indicate the radius instead used the diameter (d in the figure). This is the greatest distance between two points of the circle, and exactly 2 times as large as the jet.
Sometimes the circle is not the curve on the outside, but the collection of all points within that curve. Mathematically speaking, that is incorrect, all points within a circle forms a disk.
A segment on the border on the circle, called a chord. Each chord passing through the centre of the circle has a diameter of that circle. The length of the diameter is the diameter.
In Euclidean geometry, a circle is the place of the points of the plan that are situated at a distance date, said radius from the circle, from a fixed point, said the centre circle. The circles are simple closed curves, which divide the floor in an interior and exterior. They are conical with eccentricity nothing. The plan contained in a circle along the circumference, is called circle.
The term district is one of the most important terms of plane geometry. A circle is defined as the quantity (geometric place) of all points of the Euclidean levels, the distance from a given point M equal to a fixed number of positive r is rational. The circle is also the location of all points line with this property.
The term circle has several meanings derived from its original meaning geometric. In its first sense, the circle is "round", the ideal figure which reduces the form of numerous natural or artificial objects: the Sun, an eye, the circumference of a tree or a wheel.
For a long time, the current language employed the term both to appoint the curve (circumference) that it delineates the surface. Nowadays, mathematics, the circle is limited to the curve, the surface is called disk.
A circle is a figure without any angle. A circle is defined by a set of points at equal distance from a known center of the circle.
A role-playing video game (RPG) is one of a loosely defined genre of computer and video games with origins in pencil and paper role-playing games such as Dungeons & Dragons, borrowing much of their terminology, settings and game mechanics.
While no single feature or characteristic of a video game can be used to identify it as an RPG, there are several characteristics of the genre as a whole.
non-player characters (NPCs) run shops with equipment and supplies, ask the player to complete quests in return for a reward, give advice and information about playing the game, or simply provide additional color.
Book 1 Definitions 1: Point 2: Line 3: Extremities of lines 4: Straight line 5: Surface 6: Extremities of Surfaces 7: Plane surface 8: Plane angle 9: Rectilineal angle 10: Right angles 11: Obtuse angle 12: Acute angle 13: Boundary 14: Figure 15: Circle 16: Circle center 17: Circle diameter 18: Semicircle 19: Rectilineal figure 20: Equilateral, isosceles, scalene triangles 21: Right, obtuse, acute angled triangles 22: Square, oblong, rhombus, rhomboid, trapezia 23: Parallel lines Postulates 1: Draw a straight line on two points 2: Produce a finite straight line 3: Draw a circle with given center and distance 4: All right angles are equal 5: Intersection of two straight lines on a third straight lines so the included angles are less than two right angles Common Notions 1: Things equal to the same thing are equal 2: Equals added to equals are equal 3: Equals subtracted from equals are equal 4: Things which coincide are equal 5: A whole is greater than a part Propositions 1: Construct an equilateral triangle 2: Mark a segment on a given straight line equal to a given straight line segment 3: Cut from a straight line segment a segment equal to a given shorter line segment 4: Side-Angle-Side 5: Isosceles triangle theorem (Pons asinurum) 6: Isosceles triangle theorem converse. 7: Length of sides of a triangle on a given base determine the triangle. 8: Side-Side-Side. 9: Construct an angle bisector. 10: Construct a bisector of a line segment. 11: Construct a line perpendicular to a given line at a given point on the line. 12: Construct a line perpendicular to a given line through given point not on the line. 13: Adjacent angles on a line equal two right angles. 14: Converse to 13. 15: Opposite angles 16: Exterior angle theorem 17: Two angles in a triangle are less than two right angles. 18: Greater side subtends greater angle 19: Greater angle subtended by greater side 20: Two sides of a triangle greater than the remaining side (triangle inequality) 21: Triangle within another triangle on the same base has smaller sides and greater angle. 22: Construct triangle with sides equal to given segments. 23: On a given line, construct an angle equal to a given angle at a given point. 24: Given two triangles with two equal sides, the triangle with the greater angle will have the greater base. 25: Converse of 24 26: Angle-Side-Angle, Side-Angle-Angle 27: If alternate angles are equal then the lines are parallel 28: In interior angles equal two right angles then the lines are parallel 29: Converse to 27 and 28 30: Lines parallel to the same line are parallel 31: Construct a line parallel to a given line through a given point. 32: Angles in a triangle are two right angles. 33: Lines joining equal and parallel segments are equal and parallel 34: In a parallelogram, opposite sides and angles are equal, a diameter bisects the areas. 35: Parallelograms having the same base and equal parallels are equal 36: Parallelograms having the equal bases and the same parallels are equal 37: Triangles on the same base and in the same parallels are equal 38: Triangles on equal bases and in the same parallels are equal 39: Equal triangles on the same base are in the same parallels 40: Equal triangles on equal bases are in the same parallels 41: Parallelogram is double a triangle on the same base and the same parallels 42: Construct a parallelogram in a given angle equal to a given triangle. 43: In a parallelogram, the complements of parallelogram about a diameter are equal. 44: Construct a parallelogram on a given line equal to a given triangle. 45: Construct a parallelogram in a given angle equal to a given figure 46: Construct a square on a given line. 47: Pythagorean theorem 48: Converse of 47
The first few and selected larger members of the
sequence of factorials . The values specified in scientific notation are rounded to the displayed precision.
The first few amicable pairs are: (220, 284), (1184, 1210), (2620, 2924), (5020, 5564), (6232, 6368) .
Use the notation to indicate that is a point in represented by the vector .