## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 15

Page 190

...

...

**quadrant**: and this**quadrant**at the same time makes a right angle with the arc AM . For , the line DC being per- pendicular to the plane AMC , every plane DME , passing through the line DC is perpendicular to H F M M Q E the plane AMC ... Page 191

...

...

**quadrant**; the pole D being found , we might describe the arc AM and its prolongation , from D as a centre , and with the same distance as before . In fine , if it be required from a given point P , to let fall a perpendicular on the ... Page 192

...

...

**quadrant**: hence the point E is removed the length of a**quadrant**from each of the points A and C ; hence , it is the pole of the arc AC ( Prop . V. Cor . 3. ) . It might be shown , by the same method , that D is the pole of the arc BC ... Page 193

...

...

**quadrant**, and likewise GF , E being the pole of AH , and F of AG ; hence EH + GF is equal to a semi- circumference . Now , EH + E M D L B I T H GF is the same as EF + GH ; hence the arc GH , which mea- sures the angle A , is equal to a ... Page 199

...

...

**quadrants**( Prop . V. Cor . 3. ) . B C If the angle A is also a right angle , the tri- angle ABC will be tri - rectangular ; its angles will all be right angles , and its sides**quadrants**. Two of the tri - rectangular triangles make ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex