## Elements of Geometry |

### From inside the book

Results 1-5 of 29

Page ix

... 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. AB signifies A less than B.

... 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. AB signifies A less than B.

**Geom**. b 2A , 3A , & c . , indicate double. Page 1

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

... 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

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

... 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 47. Scholium . From the equality of the triangles ABD Of Perpendicular and Oblique Lines , Page 25

... THEOREM . 107. The circumference of a circle may be made to pass through any three points , A , B , C ( fig . 52 ) , which are not in the same Fig . 52 .

... THEOREM . 107. The circumference of a circle may be made to pass through any three points , A , B , C ( fig . 52 ) , which are not in the same Fig . 52 .

**Geom**. 4 straight line , but the circumference of only one circle Of the Circle . 25. Page 33

... , the three angles of the triangle will be equal to twice the angle BAD ; they are also equal to two right angles ; there fore the angle BAD is a right angle .

... , the three angles of the triangle will be equal to twice the angle BAD ; they are also equal to two right angles ; there fore the angle BAD is a right angle .

**Geom**. 5 Fig . 66 . Fig . 68 . Fig . Of the Measure of Angles . 33.### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence