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ABCD added Altitude analogous Angle ABC Antecedent Area Axiom bisected Center Circle circumfcribing Circumserence Cone cons consequently Construction contained cuting Cylinder Demonstration describe Diagonal Diameter divided draw drawn Ellipsis equal Altitudes equal Angles equal Bases equiangular equilateral Equimultiples Euclid external Angle extreme faid fame Base fame manner fame Plane fame Ratio fourth Frustrum Geometry given Line Heptagon Inches inscribed interfecting manisest mean Proportional measure multiplied Nonagon parallel to CD Parallelogram Parallelopiped Pentagon perpendicular Plane Angles Point Poligon Prism Prob PROBLEM produced Proposition Pyramid Quantities Radius Rect Rectangle respectively Right Angles Right Line Right-lined Figure similar Solid solid Angle Sphere Square Surface Tangent themfelves Theo THEOREM third Trapezium Triangle ABC triangular Prism usesul wherefore
Page 134 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 295 - EG, let fall from a point in the circumference upon the diameter, is a mean proportional between the two segments of the diameter DS, EF (p.
Page 294 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 196 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.
Page 258 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page 171 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Page 170 - In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base.
Page 260 - Ratios that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F.