Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página viii
The First of the three books , into which it is divided , treats of the rectification and quadrature o fthe circle , -subjects that are often omitted altogether in works of this kind . They are omitted , however , as I conceive ...
The First of the three books , into which it is divided , treats of the rectification and quadrature o fthe circle , -subjects that are often omitted altogether in works of this kind . They are omitted , however , as I conceive ...
Página xiii
Except , perhaps , some new demonstrations , and some changes in the arrangement , these two treatises have , accordingly , no novelty to boast of The Plane Trigonometry is so divided , that the part of it that is barely sufficient for ...
Except , perhaps , some new demonstrations , and some changes in the arrangement , these two treatises have , accordingly , no novelty to boast of The Plane Trigonometry is so divided , that the part of it that is barely sufficient for ...
Página 28
DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
Página 42
For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
Página 54
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contuined by the undivided line , and the several parts of the divided line ...
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contuined by the undivided line , and the several parts of the divided line ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole