## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

### From inside the book

Results 1-5 of 62

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**diameter**.... 121 PROBLEMS . Construction of proportional lines . 126 Problems of areas .... 130 Construction of similar polygons under certain conditions . 132 FIFTH BOOK . Definitions .. Theorems 137 138 SIXTH BOOK . Definitions ... Page 6

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**diameter**. All**diameters**of the same circle are equal , since each is twice the radius . THE ANGLE . C 8. When two straight lines meet , the opening between them is called a plane angle , or simply an Angle . The magnitude of the ... Page 12

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**diameter**, the diagonal of a square to its sides , etc. Hence many have deemed the arith- metical method not sufficiently general to apply to geometry . This would be a safe inference , were it necessary in all cases to assign the ... Page 40

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**diameter**. Hence , all diam- eters of the same circle are equal , each being made up of two radii . III . Any portion of the circumference of a circle is called an arc . One fourth of the en- tire circumference is called a quadrant ... Page 42

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**diameter**divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the opposite side of AB ; then will the portion of the ...### Other editions - View all

### Common terms and phrases

a+b+c ACē altitude angles equal apothem bisect centre chord circ circumference cone consequently corresponding cosec Cosine Cotang cylinder decimal denote described diameter dicular distance divided draw drawn equation equivalent exterior angles feet figure formed frustum give given line greater half hence homologous sides hypotenuse inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism vertex volume