## Chauvenet's Treatise on Elementary Geometry |

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### Common terms and phrases

ABCD adjacent angles altitude angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane angle plane MN plane passed polyedral angle Proposition IX Proposition VII quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron theorem Theorem.—If triangle ABC triangles are equal triangular prism triedral upper base vertex volume

### Popular passages

Page 228 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...

Page 117 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.

Page 38 - The sum of the three angles of any triangle is equal to two right angles.

Page 54 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector is unequally distant from the sides of the angle...

Page 133 - The area of a rectangle is equal to the product of its base and altitude.

Page 52 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 211 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.

Page 214 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.

Page 116 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

Page 187 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.