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ABCD added alfo alſo Altitudes analogous Area Bafe Baſe becauſe bifected Book called Center Chord Circle Circumference common Cone conf confequently conftructed contained cuting Cylinder defcribe Definition Demonftration Diagonal Diameter difference divided draw drawn equal Euclid evident extreme fame fame Ratio feeing Figure fimilar fince firft fome formed four fourth fuch Geometry given given Line greater half Hence Inches join lefs manner mean meaſure multiplied oppofite parallel Parallelogram Parallelopiped Pentagon perpendicular Plane Point Poligon Prob PROBLEM produced Propofition Proportion proved Pyramid Quantities Radius Ratio Rect Rectangle refpectively Right Angles Right Line Segment Sides Solid Sphere Square Surface taken Terms THEOREM third thofe touching Triangle wherefore whofe whole
Page 116 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 277 - 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 276 - 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 178 - 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 240 - 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 153 - 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 152 - 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 242 - 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.