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" As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre. "
An Introduction to Mensuration and Practical Geometry - Σελίδα 96
των John Bonnycastle - 1835 - 288 σελίδες
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Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1833 - 288 σελίδες
...(t — x} y* ; and from this the four rules here given we deduced ihe one above being y——-*Jxx t — x RULE.* As the conjugate diameter is to the...centre. And this distance being added to and subtracted fiom the semi-transverse, will give the two abscissas required. EXAMPLES. 1. The transverse diameter...

The Mechanic's Calculator, Or Workman's Memorial Book, Etc

William Grier - 1832 - 300 σελίδες
...therefore, (160 X 40) i : 60 : : 200 : 150 = the conjugate axis. 4. To find the transverse axis. Take the square root of the difference of the squares of the ordinate and half conjugate, and add to this the half conjugate if the lesser abscissa is used, but subtract the...

A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1833 - 159 σελίδες
...III. The transverse and conjugate diameters and an ordinate being given, to find the two abscissas. Rule —-As the conjugate diameter is to the transverse, so is the square root of the sum of the squares of the ordinate and semi-conjugate to the distance between the ordinate and the...

A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1834 - 159 σελίδες
...III. The transverse and conjugate diameters and an ordinate being given, to find the two abscissas. Rule — As the conjugate diameter is to the transverse, so is the square root of the sum of the squares of the ordinate and semi-conjugate to the distance between the ordinate and the...

A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834
...quantities, we get d — ^— = •VM —. =- | ; lionet ' -iy \ 4v v / which is the rule. For K(4 c1 — y2) is the square root of the difference of the squares of the semi-conjugate and ordinate, to which ^ c it added for one factor ; then from the nature of proportion...

The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - 1836 - 344 σελίδες
...160, then, v/(160 X 40) : 60 : 200 : 150 = the conjugate axis. 4. To find the transverse axis. Take the square root of the difference of the squares of the ordinate and half conjugate, and add to this the half conjugate if the lesser absciss is used, but subtract the...

A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - 262 σελίδες
...conjugate, and ordinate, to find the abscissas. RULE. As the conjugate is to the transverse diameter, so is the square root of the difference of the squares...semi-conjugate, to the distance between the ordinate and centre. Then this distance being added to, and subtracted from, the semi-diameter, will give the two abscissas.*...

A Key to the American Edition of Bonnycastle's Mensuration ...

John Bonnycastle, Benjamin Hallowell - 1839 - 88 σελίδες
...14 : 10=the ordinale required. CASE п. — FACE 96. Ex. 2. Here <J 12.5a— 10»= v/56.25=7.5=the square root of the difference of the squares of the ordinate and semi-conjugate, And 25 : 35 :: 7.5 : 10.5=the distance between the ordinate and centre, Hence semi-transverse 17.5...

Appendix to the Mensuration: For the Use of Teachers

1841
...have d* — -5- + - = -j- — с2 x . . /e4 ж2 с2 — У2)] which is the rule. For <J (£ c3 — y2) is the square root of the difference of the squares of the semi-conjugate and ordinate, to which £ с is added for one factor ; then, from the nature of proportion,...

Questions Adapted to Emerson's North American Arithmetic, Part Third, Μέρος 3

William Draper Swan - 1841
...a square number, what must be done ? How is a mean proportional between two numbers found ? To what is the square root of the difference of the squares of the hypotenuse and perpendicular, equal ? What is a diagonal 1 What is a circle ? What is a diameter ?...




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