## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 49

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**Right angled**Spherical**Triangles**by Logarithms , 255 Quadrantal**Triangles**, - 257 Solution of Oblique angled**Triangles**by Logarithms , - 259 AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO vi CONTENTS . Page 11

... triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A

... triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A

**right**-**angled triangle**is one which has a right angle . The side opposite the right angle is called the hypothenuse ... Page 24

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**right angled triangles**BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the side BC = EF , the angle B A = D , and the angle C - F . D G CE If the side BC is equal to EF , the like angles of the two triangles ... Page 30

Adrien Marie Legendre Charles Davies. Cor . 2. If two angles of one

Adrien Marie Legendre Charles Davies. Cor . 2. If two angles of one

**triangle**... angled**triangle**, the sum of the two acute angles is equal to one**right angle**. Cor . 5. Since every ...**right angles**: hence , if all the angles of 30 GEOMETRY . Page 45

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**right angled triangles**ADC , CDB , will have AČ = CB , and CD com- mon ; hence , AD is equal to DB ( Book I. Prop . XVII . ) . Again , since AD , DB , are equal , CG is a perpendicular erected from the mid- A H dle of AB ; hence every ...### 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