Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page 30
... base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ABC have the side AC equal to the side BC , then will the angle B be equal to the angle A. C A D B For , conceive ...
... base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ABC have the side AC equal to the side BC , then will the angle B be equal to the angle A. C A D B For , conceive ...
Page 73
... bases of a parallelogram the sides which are parallel . The altitude or height is the common perpendicular to these bases , of which one is called the inferior or lower base , and the other the superior or upper base . 9 GEOMETRY . In ...
... bases of a parallelogram the sides which are parallel . The altitude or height is the common perpendicular to these bases , of which one is called the inferior or lower base , and the other the superior or upper base . 9 GEOMETRY . In ...
Page 74
... base and the height respectively . In the square , the base and height are equal . In the case of a triangle , either side may be regarded as the base . The height will be the perpendicular , drawn from the opposite angle to the base ...
... base and the height respectively . In the square , the base and height are equal . In the case of a triangle , either side may be regarded as the base . The height will be the perpendicular , drawn from the opposite angle to the base ...
Page 88
... bases will be situated in the same indefinite line LL ' , parallel to the lower base . If now , we confine our attention to the two parallelograms ABCD , ABEF , we see that the triangles BCE , ADF are equal , having equal angles CBE and ...
... bases will be situated in the same indefinite line LL ' , parallel to the lower base . If now , we confine our attention to the two parallelograms ABCD , ABEF , we see that the triangles BCE , ADF are equal , having equal angles CBE and ...
Page 89
... base and the same altitude . Two rectangles of the same base and the same altitude are equal , and consequently equivalent . THEOREM XIX . A triangle is equivalent to half of a parallelogram having the same base and the same altitude ...
... base and the same altitude . Two rectangles of the same base and the same altitude are equal , and consequently equivalent . THEOREM XIX . A triangle is equivalent to half of a parallelogram having the same base and the same altitude ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume