Elements of Geometry and Trigonometry |
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Page 10
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said ...
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said ...
Page 11
... angles right angles . And lastly , the trapezoid , only two of whose sides are parallel . 18. A diagonal is a line which joins the ver- tices of two angles not adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . B E G 19 ...
... angles right angles . And lastly , the trapezoid , only two of whose sides are parallel . 18. A diagonal is a line which joins the ver- tices of two angles not adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . B E G 19 ...
Page 14
... adjacent angles will be equal to two right angles . 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 . A E B At the point C , erect CE perpendicular to AB . The ...
... adjacent angles will be equal to two right angles . 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 . A E B At the point C , erect CE perpendicular to AB . The ...
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 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 ...
Page 25
... angles on the same side of the line met , equal to two right angles , the two lines will be parallel . Let the two ... adjacent angles equal ; therefore , they are themselves equal , and the angle GEA is equal to the angle GFB ( Prop ...
... angles on the same side of the line met , equal to two right angles , the two lines will be parallel . Let the two ... adjacent angles equal ; therefore , they are themselves equal , and the angle GEA is equal to the angle GFB ( Prop ...
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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