## Elements of Geometry and Trigonometry |

### From inside the book

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Page 11

... sides unequal . 16. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the

... sides unequal . 16. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the

**side BC**is the hypothenuse . B 17. Among ... Page 17

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**side BC**( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle 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 ... Page 18

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**side**, their sum will be less than the sum of the two other**sides**of the triangle . Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either**side**, as**BC**; then will ... Page 19

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**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 + IB , or , which is the same thing , GC + AB < AG +**BC**. Take away AB from the one**side**, and its ... Page 20

Adrien Marie Legendre Charles Davies. Let the

Adrien Marie Legendre Charles Davies. Let the

**side**ED = BA , the**side**EF -**BC**, and the**side**DF - AC ; then will the angle D = A , the angle E = B , and the angle F = C . E D FB For , if the angle D were greater than A , while the**sides**...### 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