Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Seite 62
... segment BF is equivalent to the rectangle contained by the whole line BA and its remaining segment AF . For on BC construct the square BG ( I. 35. ) , make BH equal to BF , and draw IHK and FI parallel to AC and BD ( I. 23. ) . Since AB ...
... segment BF is equivalent to the rectangle contained by the whole line BA and its remaining segment AF . For on BC construct the square BG ( I. 35. ) , make BH equal to BF , and draw IHK and FI parallel to AC and BD ( I. 23. ) . Since AB ...
Seite 64
... segments . 1. If BD be drawn from the vertex of the isosceles tri- angle ABC to a point D in the base ; the square of AB exceeds the square of BD , by the rectangle under the segments AD , DC . AD E B For ( I. 7. ) bisect the base AC in ...
... segments . 1. If BD be drawn from the vertex of the isosceles tri- angle ABC to a point D in the base ; the square of AB exceeds the square of BD , by the rectangle under the segments AD , DC . AD E B For ( I. 7. ) bisect the base AC in ...
Seite 66
... segments of the base made by a perpendicu- lar ; —a property likewise easily derived from the preceding proposition . PROP . XXII . THEOR . In any triangle , the sum of the squares of the sides , is equivalent to twice the square of ...
... segments of the base made by a perpendicu- lar ; —a property likewise easily derived from the preceding proposition . PROP . XXII . THEOR . In any triangle , the sum of the squares of the sides , is equivalent to twice the square of ...
Seite 68
... segment AD made by the perpendicular BD , whether the vertical angle be obtuse or acute . For the square of AB is equivalent to the squares of AC and BC , or twice the square of AC increased or diminished by twice the rect- angle under ...
... segment AD made by the perpendicular BD , whether the vertical angle be obtuse or acute . For the square of AB is equivalent to the squares of AC and BC , or twice the square of AC increased or diminished by twice the rect- angle under ...
Seite 69
... segments of the base made by a perpendicular may be found either by Prop . 21. or Prop . 23. , and thence the perpen- dicular can easily be determined from the application of Prop . 10. But half the rectangle under this perpendicu- lar ...
... segments of the base made by a perpendicular may be found either by Prop . 21. or Prop . 23. , and thence the perpen- dicular can easily be determined from the application of Prop . 10. But half the rectangle under this perpendicu- lar ...
Inhalt
219 | |
225 | |
226 | |
231 | |
234 | |
237 | |
251 | |
256 | |
101 | |
110 | |
128 | |
142 | |
155 | |
181 | |
199 | |
200 | |
204 | |
257 | |
260 | |
262 | |
264 | |
283 | |
318 | |
338 | |
360 | |
365 | |
Andere Ausgaben - Alle anzeigen
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