## Elements of Geometry and Trigonometry |

### From inside the book

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**manner**of treating the subjects of Plane and Spherical Trigonometry . It has also been thought best to publish with the present edition a table of logarithms and logarithmic sines . Military Academy , West Point , March , 1834 ... Page 17

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**manner**, since the angle F is equal to the angle C , the line FD will take the direction CA , and the point D will be found somewhere in the line CA. Hence , the point D , falling at the same time in the two straight lines BA and CA ... Page 20

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**manner**it may be shown that the angle E is equal to B , and the angle F to C : hence the two triangles are equal ( Prop . VI . Sch . ) . Scholium . It may be observed that the equal angles lie op- posite the equal sides : thus , the ... Page 27

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**manner**it may be proved that OGA + GOC is equal to two right angles . Cor . 1. If OGB is a right angle , GOD will be a right angle also : therefore , every straight line perpendicular to one of two parallels , is perpendicular to the ... Page 29

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**manner**, since AE , CB , are parallel , and AB cuts them , the alternate angles ABC , BAE , will be equal : hence the three angles of the triangle ABC make up the same sum as the three angles CAB , BĂE , EAD ; hence , the sum of 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 cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex