## Elements of Geometry |

### From inside the book

Results 1-5 of 72

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**straight line**being the most important of the elements , I have wished to be able to give to it all the exact- ness and precision of which it is susceptible . Perhaps I might have attained this object by calling a**straight line**that ... Page 1

... line are called points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line which is neither a

... line are called points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line which is neither a

**straight line**, nor composed of**straight lines**, is a curved ... Page 2

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**straight line**AB ( fig . 3 ) meets another**straight line**CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is called a right angle , and the line AB is said to be perpendicular to CD . 11. Every ... Page 3

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**straight line**can be drawn between two points . 26. Two magnitudes , whether they be lines , surfaces , or solids , are equal , when , being applied the one to the other , they coin- cide with each other entirely ; that is , when they ... Page 4

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**straight line**CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal ... line EF may be applied to AB , so that the point E will fall upon A , and the point F upon B. These two lines , thus ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence