# A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...

author, and sold, 1774 - 440 „‰ «·’ðÕ«

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«·’ðÕ… 134 - When you have proved that the three angles of every triangle are equal to two right angles...˛
«·’ðÕ… 231 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 134 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.˛