The Elements of Plane and Solid GeometryLongmans, Green, and Company, 1872 - 285 sider |
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Side xii
... position , the same face re- maining uppermost throughout . It is true that the language employed is sufficiently general to include every case , but it is equally true that the ideas sug- gested to the reader are limited in the manner ...
... position , the same face re- maining uppermost throughout . It is true that the language employed is sufficiently general to include every case , but it is equally true that the ideas sug- gested to the reader are limited in the manner ...
Side 1
... position , and does not deal with any other qualities they may possess , such as colour , texture , hardness ... position . Def . 2. - A surface is the boundary of a solid . A surface has length , breadth , form , and position , but no ...
... position , and does not deal with any other qualities they may possess , such as colour , texture , hardness ... position . Def . 2. - A surface is the boundary of a solid . A surface has length , breadth , form , and position , but no ...
Side 6
... position in space common to both of them is called a point . A point can have neither breadth nor thickness , inas- much as it is situated on a line , and it may be shown to have no length , by reasoning similar to that employed to show ...
... position in space common to both of them is called a point . A point can have neither breadth nor thickness , inas- much as it is situated on a line , and it may be shown to have no length , by reasoning similar to that employed to show ...
Side 8
... positions , and one of them were turned by means of the key until it came into the position immediately overlying the other , the smallest amount of turning required to effect this coincidence would be the angle between the two hands ...
... positions , and one of them were turned by means of the key until it came into the position immediately overlying the other , the smallest amount of turning required to effect this coincidence would be the angle between the two hands ...
Side 16
... position of Fig . 10 , so that the points A , B , and C coincide with D , E , and F respectively , or to the triangle * The statement in the text may be illustrated as follows : Suppose the page upon which the Figs . 6 , 7 , and 8 are ...
... position of Fig . 10 , so that the points A , B , and C coincide with D , E , and F respectively , or to the triangle * The statement in the text may be illustrated as follows : Suppose the page upon which the Figs . 6 , 7 , and 8 are ...
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ABC and DEF ABCD AC is equal adjacent angles angle ABC angle BAC antecedent area of AC bisects the angle centre chords circumference coincide common measure containing Corollary 2.-If DEFINITION diameter dicular dihedral angle distance divided equal angles equal in area equal to AB equal to AC exterior angle finite straight line given angle given circle given plane given point given ratio given straight line greater homologous incommensurable inscribed length less Let ABC line joining locus middle point multiple number of sides numerator and denominator opposite sides parallelogram pentagon perpen perpendicular plane AC point F produced Prop PROPOSITION PROPOSITION 14 proved radius ratio be equal rectangle regular polygon respectively equal right angles segments Similarly situated square straight line AB straight line BC subtended tangent triangle ABC triangle DEF
Populære avsnitt
Side 101 - Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, and BC the given straight line, it is required to draw a straight line through the point A, parallel to the line BC.
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Side 19 - If two triangles have two sides of the one equal to two sides of the other, each to each, and" have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them, of the other.
Side 222 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
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Side 204 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 30 - Any two angles of a triangle are together less than two right angles.