## Solid Geometry |

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### Common terms and phrases

altitude angles are equal axis base called circle coincide common Conclusion congruent construction contain Corollary corresponding cube cubic cylinder determine a plane diameter diedral angle distance Draw drawn edge element equal equidistant EXERCISES face angles figure Find foot frustum geometry given plane given point Hence Hypothesis included inscribed intersect lateral area lateral edges line-segment measure meet opposite parallel parallel planes parallelopiped passed perpendicular placed plane angle plane intersects plane MN pole polyedral angle polyedron polygon prism projection proof in full proof is left Prove pyramid radius regular respectively revolving right circular cone Show sides similar slant height solid sphere spherical spherical triangle square straight line student SUGGESTION surface symmetrical tetraedron Theorem third total area traced triangle triangular triedral vertex vertices volume wide Write the proof Нур

### Popular passages

Page 434 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.

Page 402 - A Sphere is a solid bounded by a curved surface, all points of which are equally distant from a point within, called the Centre.

Page 443 - If the first of three things is greater than the second, and the second greater than the third, then the first is greater than the third.

Page 446 - 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.

Page 284 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.

Page 445 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 444 - Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other.

Page 445 - In any proportion, the product of the extremes equals the product of the means.

Page 378 - The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases.

Page 444 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.