Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 6-10 von 61
Seite 127
... measure the same number of times . But quan- tities , viewed in pairs , may be considered as ha- ving a similar composition , if the corresponding terms of each pair contain its measure equally . Two pairs of quantities of a similar ...
... measure the same number of times . But quan- tities , viewed in pairs , may be considered as ha- ving a similar composition , if the corresponding terms of each pair contain its measure equally . Two pairs of quantities of a similar ...
Seite 128
... measure it . 4. The quantity which is measured by another , is called its multiple ; and that which measures the other , its sub- multiple . 5. Like multiples and submultiples are those which contain their measures equally , or which ...
... measure it . 4. The quantity which is measured by another , is called its multiple ; and that which measures the other , its sub- multiple . 5. Like multiples and submultiples are those which contain their measures equally , or which ...
Seite 133
... measures any two num- bers , will measure also their sum and their difference . Cor . 2. It is hence manifest , that the first part of the proposition may be extended to more numbers than two ; or that AB + AC + AD + , & c . = A ( B + C ...
... measures any two num- bers , will measure also their sum and their difference . Cor . 2. It is hence manifest , that the first part of the proposition may be extended to more numbers than two ; or that AB + AC + AD + , & c . = A ( B + C ...
Seite 135
... measured to any required degree of precision , suppose a to be the mea- sure which A and B contain m and n times , or that A = m.a and B = n.a ; consequently pA = p.ma , and pB = p.na . But ( V. 2. ) p.ma = m.pa ... measure of BOOK V. 135.
... measured to any required degree of precision , suppose a to be the mea- sure which A and B contain m and n times , or that A = m.a and B = n.a ; consequently pA = p.ma , and pB = p.na . But ( V. 2. ) p.ma = m.pa ... measure of BOOK V. 135.
Seite 136
... measure of A is not con- tained so often in B , and hence the measure of C is not contained so often in D , or C is less than D. Scholium . On this proposition is grounded the mode of stating a proportion in the Rule of Three , while ...
... measure of A is not con- tained so often in B , and hence the measure of C is not contained so often in D , or C is less than D. Scholium . On this proposition is grounded the mode of stating a proportion in the Rule of Three , while ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore