Elements of Geometry and Trigonometry |
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Page 2
... forming a connecting link between ARITHMETIC and ALGEBRA . DAVIES ' ELEMENTS OF GEOMETRY . This work embraces the elementary principles of Geometry . The reasoning is plain and concise , but at the same time strictly rigorous . DAVIES ...
... forming a connecting link between ARITHMETIC and ALGEBRA . DAVIES ' ELEMENTS OF GEOMETRY . This work embraces the elementary principles of Geometry . The reasoning is plain and concise , but at the same time strictly rigorous . DAVIES ...
Page 14
... formed . C on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- , gles , BAC , CAF . E B A F PROPOSITION II . THEOREM . Two straight lines , which have two ...
... formed . C on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- , gles , BAC , CAF . E B A F PROPOSITION II . THEOREM . Two straight lines , which have two ...
Page 16
... 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 , DCB , is ...
... 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 , DCB , is ...
Page 26
... formed take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant ' line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the ...
... formed take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant ' line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the ...
Page 27
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the ...
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the ...
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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