## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 35

Page 12

The sign is the sign of equality ; thus , the

The sign is the sign of equality ; thus , the

**expression**A = B , signifies that A is equal to B. To signify that A is ... To signify that A is greater than B , the**expression**A > B is used ; the smaller quantity being always at the ... Page 13

... but this

... but this

**expression**should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The**expression**Ax ( B + C - D ) represents the product of A ... Page 30

each of its angles will be equal to the third part of two right angles ; so that , if the right angle is

each of its angles will be equal to the third part of two right angles ; so that , if the right angle is

**expressed**by unity , the angle of an equilateral triangle will be**expressed**by 3 . Cor . 6. In every triangle ABC , the exterior ... Page 34

Thus , if A and B represent quantities of the same kind , the ratio of A to B is exB pressed by A ' The ratios of magnitudes may be

Thus , if A and B represent quantities of the same kind , the ratio of A to B is exB pressed by A ' The ratios of magnitudes may be

**expressed**by numbers , either exactly or approximatively ; and in the latter case , the approximation ... Page 35

In the same manner , the ratio of any other two magnitudes C and D may be

In the same manner , the ratio of any other two magnitudes C and D may be

**expressed**by P × C ' to Q × C ' , P and Q being also integral numbers , and their ratio will be the same as that of P to Q. 2. If there be four magnitudes A ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole