Elemento of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of SurveyingPratt, Woodford & Company, 1848 - 324 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 11
... Multiplying or dividing numerator or denominator ... 14. Multiplying a fraction by its denominator .. 15. Fractions multiplied together ...... .... .... 16. Involution and evolution of fractions ... 17. Division by a fraction ...
... Multiplying or dividing numerator or denominator ... 14. Multiplying a fraction by its denominator .. 15. Fractions multiplied together ...... .... .... 16. Involution and evolution of fractions ... 17. Division by a fraction ...
Σελίδα 22
... multiplied by 2 , is equal to 44 diminished by 4 , and the remainder divided by two , is written , or or ( 6 + 4 ) ... multiplied into b . Propositions are much shorter in symbolical than in common language , and are , conse- quently ...
... multiplied by 2 , is equal to 44 diminished by 4 , and the remainder divided by two , is written , or or ( 6 + 4 ) ... multiplied into b . Propositions are much shorter in symbolical than in common language , and are , conse- quently ...
Σελίδα 23
... equal in all their parts , ( 15 ) , ( 1 ) . Cor . 11. If the same or equal quantities be multiplied or ( 112 ) divided by the same or equal quantities , the resulting quantities will be equal ; since multiplication is repeated addition ,
... equal in all their parts , ( 15 ) , ( 1 ) . Cor . 11. If the same or equal quantities be multiplied or ( 112 ) divided by the same or equal quantities , the resulting quantities will be equal ; since multiplication is repeated addition ,
Σελίδα 26
... multiplying by b instead of ba , is multiplying by a number a times too small , and consequently , the product , being a times too small , will be corrected by multi- plying again by a ; all which may be set down in symbols thus ...
... multiplying by b instead of ba , is multiplying by a number a times too small , and consequently , the product , being a times too small , will be corrected by multi- plying again by a ; all which may be set down in symbols thus ...
Σελίδα 27
... multiplying by c , ( Q : b ) • c = ac ; again Q • C = ab • c = = acb , hence ( Q. c ) : b = ac ; ( Q b ) c = ( Q c ) b . Q. E. D. for 3 ° , : and the proposition is proved . PROPOSITION V. Additions and Subtractions in regard to ...
... multiplying by c , ( Q : b ) • c = ac ; again Q • C = ab • c = = acb , hence ( Q. c ) : b = ac ; ( Q b ) c = ( Q c ) b . Q. E. D. for 3 ° , : and the proposition is proved . PROPOSITION V. Additions and Subtractions in regard to ...
Περιεχόμενα
218 | |
220 | |
222 | |
224 | |
225 | |
227 | |
229 | |
231 | |
104 | |
112 | |
113 | |
118 | |
124 | |
128 | |
131 | |
137 | |
145 | |
162 | |
170 | |
192 | |
193 | |
194 | |
195 | |
198 | |
201 | |
202 | |
203 | |
204 | |
205 | |
206 | |
207 | |
208 | |
210 | |
211 | |
212 | |
214 | |
215 | |
216 | |
217 | |
236 | |
245 | |
258 | |
262 | |
264 | |
267 | |
268 | |
272 | |
273 | |
275 | |
276 | |
280 | |
282 | |
283 | |
284 | |
286 | |
288 | |
290 | |
291 | |
292 | |
294 | |
295 | |
296 | |
298 | |
302 | |
304 | |
305 | |
312 | |
316 | |
319 | |
322 | |
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ abscissa algebraical altitude axis base becomes BINOMIAL THEOREM bisecting C₁ centre chains chord circle circumference coefficients computation constant continuous function cosc cosine cota curve D₂ denominator denote determine diameter difference diminished distance divided division divisor draw drawn ellipse equal equation exponent factors find the derivative fraction function geometry given greater horizontal Hyperbola hypothenuse increment intersect logarithm measured minus multiplied observe operation opposite parabola parallel parallelogram perpendicular plane polygon polynomial problem proportional PROPOSITION quantities quotient radii radius ratio rectangle right angled triangle Scholium secant secant line segments sine sinx square straight line subtangent subtracting tana tanb tangent theorem variable vertical whence y₁
Δημοφιλή αποσπάσματα
Σελίδα 13 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 264 - ... 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...
Σελίδα 217 - Through a given point to draw a line parallel to a given straight line.
Σελίδα 195 - 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.
Σελίδα 197 - To find the other side: — • as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Σελίδα 170 - The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity.
Σελίδα 45 - 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.
Σελίδα 83 - ... by four times the square of the line joining the middle points of the diagonals.
Σελίδα 304 - 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.
Σελίδα 177 - 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.