Elements of Geometry and Trigonometry |
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Page 10
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is ... Every angle BAC , less than a right angle , is an acute angle ; and every angle DEF , greater than a right angle ...
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is ... Every angle BAC , less than a right angle , is an acute angle ; and every angle DEF , greater than a right angle ...
Page 11
A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B ЈА 17.
A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B ЈА 17.
Page 13
All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be parallel to a given line . 13.
All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be parallel to a given line . 13.
Page 14
If one straight line meet another straight line , the sum of the two 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 ...
If one straight line meet another straight line , the sum of the two 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 ...
Page 15
From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be ...
From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be ...
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ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole