Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 10
... Angle is the portion of a plane included between two straight lines which meet at a common point . two straight lines are called the sides of the angle , a Tha the common point of intersection , the vertex . Thus , the part of the plane ...
... Angle is the portion of a plane included between two straight lines which meet at a common point . two straight lines are called the sides of the angle , a Tha the common point of intersection , the vertex . Thus , the part of the plane ...
Page 19
... angle AED , and there will remain the angle AEC equal to the angle DEB ( Ax . 3 ) . In the same manner we may prove that the angle AED is equal to the angle CEB . End Buyin THEOREM IV . If two triangles have two sides and the included angle ...
... angle AED , and there will remain the angle AEC equal to the angle DEB ( Ax . 3 ) . In the same manner we may prove that the angle AED is equal to the angle CEB . End Buyin THEOREM IV . If two triangles have two sides and the included angle ...
Page 20
... angles and the included side of the one , equal to two angles and the included side of the other , each to each , the two triangles will be equal . Let the two triangles ABC and DEF have the angle A equal to the angle D , the angle B equal ...
... angles and the included side of the one , equal to two angles and the included side of the other , each to each , the two triangles will be equal . Let the two triangles ABC and DEF have the angle A equal to the angle D , the angle B equal ...
Page 21
... angle A be equal to the an- gle B. A C B For , suppose the line CD to be drawn dividing the angle C into two equal parts . Then , the two triangles ACD and DCB , have two sides and the included angle of the one equal to two sides and ...
... angle A be equal to the an- gle B. A C B For , suppose the line CD to be drawn dividing the angle C into two equal parts . Then , the two triangles ACD and DCB , have two sides and the included angle of the one equal to two sides and ...
Page 22
... angle A equal to the angle B : hence , the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other , each to each : hence , the two triangles are equal ( Th . iv ) , that is ...
... angle A equal to the angle B : hence , the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other , each to each : hence , the two triangles are equal ( Th . iv ) , that is ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards