## Elements of Geometry and Trigonometry |

### From inside the book

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**base**BC , or within it . First Case . The straight line GC < GI + IC , and the straight line AB < AI + IB ; therefore , GC + AB < GI + AI + IC + ĪB , or , which is the same thing , GC + AB < AG + BC . Take away AB from the one side ... Page 20

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**base**BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to those of the other , each to ...**base**, is perpendicular to the**base**, and divides the angle at the vertex into two equal parts . In a triangle which ... Page 21

Adrien Marie Legendre Charles Davies. that side is generally assumed as the

Adrien Marie Legendre Charles Davies. that side is generally assumed as the

**base**, which is not equal to either of the other two . PROPOSITION XII . THEOREM . Conversely , if two angles of a triangle are equal , the sides oppo- site them ... Page 30

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**bases**, the several sides of the polygon , excepting the two sides which form the angle A. It is evident , also , that the sum of all the angles in these triangles does not differ from the sum of all the angles in the polygon : hence ... Page 42

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**base**AB retaining its position , the curve line AEB must fall exactly on the curve line AFB , otherwise there would , in the one or the other , be points unequally dis- tant from the centre , which is contrary to the definition of a ...### 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