Elements of Geometry and Trigonometry |
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Page 10
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... right angle ; and the line AB is said to be perpendicular to CD . 11. Every angle BAC , less than aD right angle , is an ...
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... right angle ; and the line AB is said to be perpendicular to CD . 11. Every angle BAC , less than aD right angle , is an ...
Page 13
... angle A. The square of the line AB is designated by AB2 ; its cube by AB3 . What is meant by the square and cube of a line ... right angles are equal to each other . 11 From one point to another only one straight line can be drawn . 12 ...
... angle A. The square of the line AB is designated by AB2 ; its cube by AB3 . What is meant by the square and cube of a line ... right angles are equal to each other . 11 From one point to another only one straight line can be drawn . 12 ...
Page 14
... angles will be equal to two right angles . A E B Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . At the point C , erect CE perpendicular to AB . The ...
... angles will be equal to two right angles . A E B Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . At the point C , erect CE perpendicular to AB . The ...
Page 15
... right angle ACE . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1 ... angles equal to two right angles , the two straight lines which are met , will form one and the same straight line . Let ...
... right angle ACE . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1 ... angles equal to two right angles , the two straight lines which are met , will form one and the same straight line . Let ...
Page 16
... angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ...
... angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex