Elements of Geometry and Trigonometry |
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Page 10
... adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11. Every angle BAC , less than a D right angle , is an acute angle ; and every angle ...
... adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11. Every angle BAC , less than a D right angle , is an acute angle ; and every angle ...
Page 11
... adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . B E G 19. An equilateral polygon is one which has all its sides . equal ; an equiangular polygon , one which has all its angles equal . 20. Two polygons are mutually ...
... adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . B E G 19. An equilateral polygon is one which has all its sides . equal ; an equiangular polygon , one which has all its angles equal . 20. Two polygons are mutually ...
Page 14
... adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then ... adjacent an- gle DCB , and both of them must be right angles ( Def . 10. ) . But since ACD is a C B right angle , its ...
... adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then ... adjacent an- gle DCB , and both of them must be right angles ( Def . 10. ) . But since ACD is a C B right angle , its ...
Page 15
... adjacent angles equal to two right angles , the two straight lines which are met , will form one and the same straight line . Let the straight line CD meet the two lines AC , CB , at their common point C , making the sum of the two adjacent ...
... adjacent angles equal to two right angles , the two straight lines which are met , will form one and the same straight line . Let the straight line CD meet the two lines AC , CB , at their common point C , making the sum of the two adjacent ...
Page 25
... adjacent angles equal ; therefore , they are themselves equal , and the angle GEA is equal to the angle GFB ( Prop . VI . Cor . ) : but GEA is a right angle by construction ; therefore , GFB is a right angle ; hence the two lines EC ...
... adjacent angles equal ; therefore , they are themselves equal , and the angle GEA is equal to the angle GFB ( Prop . VI . Cor . ) : but GEA is a right angle by construction ; therefore , GFB is a right angle ; hence the two lines EC ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex