Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 20
Page 2
... unit 1 as the only tangible basis for logical development . Davies ' Elements of Written Arithmetic . - A practical introduction to the whole subject . Theory subordinated to Practice . Davies ' Practical Arithmetic . * - The most ...
... unit 1 as the only tangible basis for logical development . Davies ' Elements of Written Arithmetic . - A practical introduction to the whole subject . Theory subordinated to Practice . Davies ' Practical Arithmetic . * - The most ...
Page 9
... unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of units of measure , viz .: Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that ...
... unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of units of measure , viz .: Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that ...
Page 12
... unit an equal number of times . 15. Magnitudes are equal in all respects , when they may be so placed as to coincide throughout their whole extent : they are equal in all their parts when each part of one is equal to the corresponding ...
... unit an equal number of times . 15. Magnitudes are equal in all respects , when they may be so placed as to coincide throughout their whole extent : they are equal in all their parts when each part of one is equal to the corresponding ...
Page 74
... unit : then will they be proportional to the intercepted arcs AB and DE . m M Z in the angle Let the angle M be a common unit ; and suppose , for example , that this unit is contained 7 times ACB , and 4 times in the angle DOE ACB be ...
... unit : then will they be proportional to the intercepted arcs AB and DE . m M Z in the angle Let the angle M be a common unit ; and suppose , for example , that this unit is contained 7 times ACB , and 4 times in the angle DOE ACB be ...
Page 77
... unit . If , therefore , any angle be measured by one - half or two - thirds of a quadrant , it will two - thirds of a right angle . be equal to one - half or PROPOSITION XVIII . THEOREM . An inscribed angle is measured by half of the ...
... unit . If , therefore , any angle be measured by one - half or two - thirds of a quadrant , it will two - thirds of a right angle . be equal to one - half or PROPOSITION XVIII . THEOREM . An inscribed angle is measured by half of the ...
Other editions - View all
Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence