Elements of Geometry and Trigonometry |
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Page 13
... 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. Magnitudes , which being ...
... 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. Magnitudes , which being ...
Page 21
... angles of a triangle are equal , the sides oppo- site them are also equal , and the triangle is isosceles . Let the angle ... given point , BOOK I. 21.
... angles of a triangle are equal , the sides oppo- site them are also equal , and the triangle is isosceles . Let the angle ... given point , BOOK I. 21.
Page 22
... angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle , by hypothesis ; therefore , BCF must likewise be a right angle . But if the adja- cent angles BCA , BCF , are together ... given point , DE the given 22 GEOMETRY .
... angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle , by hypothesis ; therefore , BCF must likewise be a right angle . But if the adja- cent angles BCA , BCF , are together ... given point , DE the given 22 GEOMETRY .
Page 23
Adrien Marie Legendre. Let A be the given point , DE the given line , AB the ... angle CBF CBA , the side CB common , and the - D A BE F side BF BA ; hence ... angle CBA - ABE ; hence the sides . AC and AE are equal ( Prop . V. Cor ...
Adrien Marie Legendre. Let A be the given point , DE the given line , AB the ... angle CBF CBA , the side CB common , and the - D A BE F side BF BA ; hence ... angle CBA - ABE ; hence the sides . AC and AE are equal ( Prop . V. Cor ...
Page 24
Adrien Marie Legendre. Let AB be the given straight line , C the middle point , and ECF the perpendicular . First , Since ... angle C - F . D G CE T If the side BC is equal to EF , the like angles of the two triangles are equal ( Prop . X ...
Adrien Marie Legendre. Let AB be the given straight line , C the middle point , and ECF the perpendicular . First , Since ... angle C - F . D G CE T If the side BC is equal to EF , the like angles of the two triangles are equal ( Prop . X ...
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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