Elements of Geometry and Trigonometry |
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Page 16
... 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 ; and the sum of the other two , ACD ...
... 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 ; and the sum of the other two , ACD ...
Page 36
... four quantities are proportional ; that is , MN : P : Q. PROPOSITION III . THEOREM . If four quantities are in proportion , they will be in proportion when taken alternately . Let M , N , P , Q , be the numerical representatives of four ...
... four quantities are proportional ; that is , MN : P : Q. PROPOSITION III . THEOREM . If four quantities are in proportion , they will be in proportion when taken alternately . Let M , N , P , Q , be the numerical representatives of four ...
Page 205
... four , or by five : hence arise three regular bodies , the tetraedron , the octaedron , the icosaedron . No other can be formed with equilateral triangles ; for six angles of such a triangle are equal to four right angles , and cannot ...
... four , or by five : hence arise three regular bodies , the tetraedron , the octaedron , the icosaedron . No other can be formed with equilateral triangles ; for six angles of such a triangle are equal to four right angles , and cannot ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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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 consequently convex surface cosine Cotang 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex