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**Read Online or Download An elementary treatise on geometry : simplified for beginners not versed in algebra. Part I, containing plane geometry, with its application to the solution of problems PDF**

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**Additional resources for An elementary treatise on geometry : simplified for beginners not versed in algebra. Part I, containing plane geometry, with its application to the solution of problems**

**Example text**

AB, By is the length the distance of the point determined. 3e//y. If A from the line you imagine the perpendic- GEOMETftY. ular AD to ABC BE, 47 upon BC (Fig. ), or if the angle be obtuse (as in Fig. ) on be let fall its further extension there can be but one point in the line side of the perpendicular, from which a point A, AC as long as the line is of the preceding query) line AC, line BC, line BC, on drawn this to the (see consequence 6t:i therefore, by the length of the ; the point C, and thereby the whole of the third also determined.

A" Fig. n. D C -J jr^ They are parallel Q. How to each other. can you prove A. From the line CD this AB ; ? being parallel to AB, that every point in the line from the line F : CD and because is at EF is it follows an equal distance also parallel to AB, GEOMETRY. EF every point in the line from the line AB ; is an equal distance also at and therefore distances between the lines 33 CD Fig. ) and EF, or (in I^g. II] the differences between the equal distances, are equal that is, the lines CD, EF, are likewise equidistant ; and consequently parallel to each other.

Oblique lines, AD, AE, AF, successively greater, as they are perpendicular line AB than the are all ; the line ; line AE obtuse^ triangles that is, AE the line than the and so on. and become pendicular ; become line is the greater than the AD ; the line 0, p, r, AF &,c. successively greater, as the are more remote from the and, therefore, the sides which are successively opposite triangles AD For the angles ; ADE, AEF, &c. Sfc. , to these angles, in the ADE, AEF, AFN, must become greater with them.