## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 44

Page 11

The

The

**rectangle**, which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its ... Page 31

... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the four angles of a quadrilateral are asserted to be right angles , in the case of the

... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the four angles of a quadrilateral are asserted to be right angles , in the case of the

**rectangle**and the square . Cor . 2. Page 63

If the given angle is a right angle , the figure will be a

If the given angle is a right angle , the figure will be a

**rectangle**; if , in addition to this , the sides are equal , it will be a square . E * E A La Scholium . The same construction serves for making a circumference pass through ... Page 70

Every parallelogram is equivalent to the

Every parallelogram is equivalent to the

**rectangle**which has the same base and the same altitude . PROPOSITION II . THEOREM . Every triangle is half the parallelogram which has the same base and the same altitude . Page 71

The

The

**rectangle**ABCD will contain seven partial**rectangles**, while AEFD will contain four : hence the**rectangle**ABCD is to AEFD as 7 is to 4 , or as AB is to AE . The same reasoning may be applied to any other ratio equally with that of 7 ...### What people are saying - Write a review

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

### Other editions - View all

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole