## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

### From inside the book

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**perpendicular**and oblique lines 20 24 28 33 87 Of triangles . Of quadrilaterals ... Additional Theorems of triangles SECOND BOOK , Definitions .... Of chords , secants , and tangents 40 42 Of the measure of angles ... Of inscribed and ... Page 7

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**perpendicular**to the other . between the radii is less than a quadrant , the angle is called acute . When the arc is greater than a quadrant , the angle is called obtuse . The magnitude of an angle may be estimated or measured by means ... Page 9

... or crosses another , so as to make the adjacent angles equal , each of these angles is called a Right angle , and the lines are said to be

... or crosses another , so as to make the adjacent angles equal , each of these angles is called a Right angle , and the lines are said to be

**perpendicular**to each other .く XIII . An Acute angle is one which is less FIRST BOOK Definitions. Page 13

... a straight line may be bisected or halved . IV . That from a point , either within or without a straight line , a

... a straight line may be bisected or halved . IV . That from a point , either within or without a straight line , a

**perpendicular**may be drawn to the line . V. That a line may be drawn , making any FIRST BOOK . 13 Axioms Postulates. Page 14

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**perpendicular**to AB , we see that the angle AFC exceeds the right angle AFG , by the angle CFG ; while the angle BFC is less than the right angle BFG by the same angle CFG . Hence , the sum of AFC , BFC is equal to two right angles ...### Other editions - View all

### Common terms and phrases

a+b+c ACē altitude angles equal apothem bisect centre chord circ circumference cone consequently corresponding cosec Cosine Cotang cylinder decimal denote described diameter dicular distance divided draw drawn equation equivalent exterior angles feet figure formed frustum give given line greater half hence homologous sides hypotenuse inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism vertex volume