## Elements of Geometry |

### From inside the book

Results 1-5 of 32

Page ix

... is equal to that represented by B , or A equal to B. A > B signifies that the magnitude represented by A exceeds that represented by B , or A greater than B. A < B signifies A less than B.

... is equal to that represented by B , or A equal to B. A > B signifies that the magnitude represented by A exceeds that represented by B , or A greater than B. A < B signifies A less than B.

**GEOM**. b • 2A , 3A , & c . , indicate. Page 1

... at the ver- tex , as A ; sometimes by three letters , as BAC or CAB , the letter at the vertex always occupying the middle place .

... at the ver- tex , as A ; sometimes by three letters , as BAC or CAB , the letter at the vertex always occupying the middle place .

**GEOM**. 1 Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ... Page 9

... ; therefore ( 43 ) the angle B is equal to the angle C. 46. Corollary . An equilateral triangle is also equiangular ; that is , it has its angles equal .

... ; therefore ( 43 ) the angle B is equal to the angle C. 46. Corollary . An equilateral triangle is also equiangular ; that is , it has its angles equal .

**GEOM**2 Fig . 29 . Fig 30 . 47. Scholium . Of Perpendicular and Oblique Lines . 9. Page 17

... . * A re - entering angle is one whose vertex is directed inward , as Fig . 43 . CDE ( fig . 43 ) , while a saliant angle has its vertex directed outward , as ABC .

... . * A re - entering angle is one whose vertex is directed inward , as Fig . 43 . CDE ( fig . 43 ) , while a saliant angle has its vertex directed outward , as ABC .

**Geom**. 3 : Fig . 37 THEOREM . 71. If two straight Of Parallel Lines . 17. Page 25

... being equally distant from the centre , there might be three equal straight lines drawn from a given point to the same straight line , which is impossible ( 54 ) .

... being equally distant from the centre , there might be three equal straight lines drawn from a given point to the same straight line , which is impossible ( 54 ) .

**GEOM**. 4 Fig . 50 Fig . 50 THEOREM . 102. In Of the Circle . 25.### 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 convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent 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 pyramid S-ABC 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