## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 38

Page 10

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**BAC**, or CAB , the letter at the vertex being always placed in the middle .**Angles**, like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the**angle**DCE is the sum of the two**angles**... Page 14

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**angle**ACD + the**angle**DCB , be equal to two right**angles**. A E C B At the point C , erect CE perpendicular to AB ...**BAC**, CAD , DAE , EAF , formed on the same side of the straight line BF , is equal to two right**angles**; for their sum is ... Page 16

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**angle**ECB be equal to the**angle**ACD , and the**angle**ACE to the**angle**DCB . B For , since the straight line DE is met ...**BAC**. E D FB For , these triangles may be so applied to each other , that they shall exactly coincide . Let the triangle ... Page 17

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**BAC**( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the**angle**D = A , the remaining three are also respectively equal , namely , the side EF = BC , the**angle**E ... Page 18

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**BAC**, and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC ...**angle**. Let**BAC**and EDF be two triangles , having the side AB = DE , AC = DF , and the**angle**, A > D ; then will BC ...### 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