## Elements of Geometry and Trigonometry |

### From inside the book

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**Let**the triangle EDF , be placed upon the triangle BAC , so that the point E shall**fall**upon B , and the side ED on the equal side BA ; then , since the angle D is equal to the angle A , the side DF will take the direction AC . But DF ... Page 17

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**Let**the angle E be equal to the angle B , the angle F to the angle C , and ...**falling**on B , and the point F on C ; then , since the angle E is equal to the angle B ...**fall**at their intersection A : hence , the two triangles EDF , BAC ... Page 19

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**fall**on the side BC , it is evident that GC , or its equal EF , will be shorter than BC ( Ax . 8. ) . AA B Third Case . Lastly , if the point G**fall**...**Let**the side ED = BA , the side EF BOOK I. 19. Page 22

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**let fall**on the line , and oblique lines be drawn to different points : 1st , The perpendicular will be shorter than any oblique line . 2d , Any two oblique lines , drawn on different sides of the perpen- dicular , cutting off equal ... Page 25

... Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point Q , on either side of AB , there would be two per- B C D pendiculars OA , OB ,

... Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point Q , on either side of AB , there would be two per- B C D pendiculars OA , OB ,

**let fall**from the same point on 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 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