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ABCD abſurd added alſo Altitude Arch Baſe becauſe Book Center Circle Circumference common Cone conft conſequently contained Continue CORO Cylinder demonſtrated deſcribed Diameter divided draw drawn EFGH equal equiangular equilateral fall fame firſt fore fourth given given right gles greater half Hence join leſs likewiſe Magnitudes Mall manifeſt manner meet Multiple Number oppoſite parallel Parallelepipedons Parallelogram perpendicular Plane Point Priſms Probl PROP Proportion Pyramids Ratio Rectangle remaining right Angles right Line AC ſaid ſame ſay SCHOL ſecond Segment ſhall Sides ſimilar ſince Solid ſome Sphere Square taken theſe thing third thoſe thro touch Triangle Triangle ABC Whence whole whoſe
Page 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Page 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Page 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Page 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.