Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 68
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 Charles Davies. Let A be the given point , DE the given ... 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 Charles Davies. Let A be the given point , DE the given ... 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 Charles Davies. Let AB be the given straight line , C the middle point , and ECF the perpendicular ... angle C - F . D G CE If the side BC is equal to EF , the like angles of the two triangles are equal ( Prop . X ...
Adrien Marie Legendre Charles Davies. Let AB be the given straight line , C the middle point , and ECF the perpendicular ... angle C - F . D G CE If the side BC is equal to EF , the like angles of the two triangles are equal ( Prop . X ...
Other editions - View all
Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex