## Elements of Geometry and Trigonometry |

### From inside the book

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**included**angle of the one , equal to two sides and the**included**angle of the other , each to each , the two triangles will be equal . Let the side ED be equal to the side BA , the side DF to the side AC , and the an- gle D to the angle ... Page 17

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**included**side EF equal to the**included**side BC , it may be inferred that the remaining three are also respectively equal , namely , the angle D = A , the side ED = BA , and the side DF = AC . Scholium . Two triangles are said to be ... Page 18

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**included**angles unequal , the third sides will be unequal ; and the greater side will belong to the triangle which has the greater**included**angle . Let BAC and EDF be two triangles , having the side AB - DE , AC -DF , and the angle A ... Page 21

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**included**angle in the one , equal to two sides and the**included**angle in the other , each to each : hence they are equal ( Prop . V. ) . But the part cannot be equal to the whole ( Ax . 8. ) ; hence , there is no inequality between the ... Page 32

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**included**between two other parallels AD , BC , are equal ; and the diagonal DB divides the parallelogram into two equal triangles . PROPOSITION XXIX . THEOREM . If the opposite sides of a quadrilateral are equal , each to each , the ...### 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 consequently 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 produced proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE 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