The Elements of Plane and Solid GeometryLongmans, Green, and Company, 1872 - 285 sider |
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Resultat 1-5 av 83
Side x
... sides and angles , and accordingly , when in Proposition 34 he has proved the equality of the opposite sides and angles of a parallelogram by means of this Proposition 26 , he is obliged to recur to Proposition 4 , with its long and ...
... sides and angles , and accordingly , when in Proposition 34 he has proved the equality of the opposite sides and angles of a parallelogram by means of this Proposition 26 , he is obliged to recur to Proposition 4 , with its long and ...
Side 4
... sides . Def . 17. - A triangle is called isosceles when two of its sides are equal , equilateral when all three sides are equal , and equiangular when all three angles are equal . Def . 18. — When one of the angles of a triangle is a ...
... sides . Def . 17. - A triangle is called isosceles when two of its sides are equal , equilateral when all three sides are equal , and equiangular when all three angles are equal . Def . 18. — When one of the angles of a triangle is a ...
Side 10
... sides AB and B D C BC of the triangle ABC , as in the annexed figure , we should take it for granted that the straight line BD must meet the side AC in some point . A D And if C and D were two points situated on opposite B sides of the ...
... sides AB and B D C BC of the triangle ABC , as in the annexed figure , we should take it for granted that the straight line BD must meet the side AC in some point . A D And if C and D were two points situated on opposite B sides of the ...
Side 12
... sides . Let ABC be a triangle , then any one of its sides as BC shall be less than the sum , and greater than the difference , of the two remain- ing sides AB and AC . B A Fig . 1 . C Because the two points B and C are joined by the ...
... sides . Let ABC be a triangle , then any one of its sides as BC shall be less than the sum , and greater than the difference , of the two remain- ing sides AB and AC . B A Fig . 1 . C Because the two points B and C are joined by the ...
Side 13
... sides BA and AC . Produce BD to meet the side AC in the point E. Because any side of a triangle is less than the sum of the two remaining sides , B therefore BE is less than BA + AE ; add EC to each , Fig . 2 . A therefore BE + EC is ...
... sides BA and AC . Produce BD to meet the side AC in the point E. Because any side of a triangle is less than the sum of the two remaining sides , B therefore BE is less than BA + AE ; add EC to each , Fig . 2 . A therefore BE + EC is ...
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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 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'.
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