## 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

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**triangle ABC**, we draw two lines to the extremities of one of the sides AB , the angle ADB formed by these lines will be greater than the angle ACB , opposite this side . C B For , the sum of the two angles DAB , DBA is obviously less ... Page 28

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**triangle ABC**to be placed upon the trian- gle DFG in such a manner that the point C may coincide with the point G , and the side CA with the equal side GD . Then ...**triangles ABC**and DEF , suppose CA 28 . GEOMETRY . 87 Of triangles. Page 29

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**triangles ABC**and DEF , suppose CA and CB of the first to be respectively equal to FD and FE of the sec- Α ond , and the included an- L C F gle ACB > DFE , then will AB > DE . Apply the triangle DEF upon the trian- gle ABC , making EF ... Page 30

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**triangles ABC**, DFG , if the angle A is equal to the angle D , the angle B equal to the angle F , and the side AB equal to the side DF , then will the triangles be identical , or equal in all respects . C G A B D F For , conceive the ... Page 31

... triangle have two angles equal , the sides opposite those angles will be equal , and the triangle will be isosceles . In the

... triangle have two angles equal , the sides opposite those angles will be equal , and the triangle will be isosceles . In the

**triangle ABC**, if the angles CAB , CBA , are equal , the opposite sides BC , AC , will be equal . A C D B For ...### 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