Elements of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of Surveying

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Pratt, Woodford, 1848 - 324 páginas

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81
213
Variation of needle
214
Leveling
215
Graphical problemsperpendiculars parallels c
216
Application drawing parallels 11 Sum of external angles of polygon 12 Corollariessum of internal angles of polygon hexagon pentagon quadrilateral...
217
Problems of constructionx a + b c
218
Graduation of the circlechords
220
To plot a field Diagonal scale sector
222
Plot reduced or enlarged
224
Last side and diagonals of polygonal fields
225
Corollaries Similar figures and proportional lines the Pantograph
227
Distance of foot of perpendicular to middle of base
229
Area of polygon in terms of the sides and their inclinations
231
Form of computation
234
Exercises
236
70
239
BOOK FIRST
245
Surface of revolution derivative
251
Consequences ellipsoidal frustrum ellipsoid sphere Para
257
Similar solids how related
258
Exercises
259
Spherical triangle measured consequences
262
cosa cosb cosc + sinb sinc cosA consequences
264
Sides how related to opposite angles consequences
267
Elimination first second thirdconsequences
268
Napiers analogies
272
Napiers Rules modified
273
Cases in spherical trigonometry
275
Exercises
276
Orthographic projection consequences
280
How made
282
Gnomonic projection
283
A conic section
284
How made
286
Conical projection how made
288
Exercises
290
BOOK THIRD
291
Difference of longitude consequences
292
Parallel sailing
294
Problem of the Place
295
Latitude by meridian altitude
296
Time consequences
298
Longitude by lunar distance
302
CourseMariners compass
304
Zenith distancesextant adjustments use depression of horizon re fraction parallax semidiameter
305
II 312
312
The Circle
315
TABLESLogarithms of numbers
316
Logarithmic Sines
319
Logarithmic Tangents
322

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Página 11 - If two triangles have two sides of the one equal to two sides of the...
Página 256 - ... greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to...
Página 62 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 187 - As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side.
Página 37 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 75 - ... by four times the square of the line joining the middle points of the diagonals.
Página 296 - N. by E. NNE NE by N. NE NE by E. ENE E. by N. East E. by S. ESE SE by E. SE SE by S.
Página 169 - The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference.
Página 256 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Página 72 - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles shall be equiangular, and have those angles equal which subtend the homologous sides.

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