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12 feet 12 inches alternate angles altitude angles Prop arch beam Balloon Frames base beam bridge Bill of Timber blade bolts brace mortice bridge building circumference common rafter corner counter braces cripple stud cross timbers designed diagonal width diameter distance divide draw bores equal angles equal sides equiangular exhibits extracting the square feet long foot girder given half the width hence hexagon hip rafters hip roof hypotenuse inches rise inches square interior angles intersection iron lower end bevel manner multiplied opposite exterior parallel parallelogram perpendicular polygon principal rafters proportion Proposition purlin plates purlin post brace rafters required rectangle represented ridge pole right angles right-angled triangle Scholium secant line side bevel sills span spiked spire square root straight lines meet straining beam supporting rods tenons Theorem thickness tongue trestles truss upper chord upper end bevel upper joists
Side 29 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Side 32 - Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles.
Side 19 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Side 30 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 32 - The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base.
Side 19 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 19 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Side 35 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.