Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 6-10 von 93
Seite 54
... square of BC is equal to the square of BD , and consequently the squares of AB and BC are equal to the squares of AB ... A , B , and C be the sides of the squares , to which it is required to find an equivalent square . Draw DE equal to ...
... square of BC is equal to the square of BD , and consequently the squares of AB and BC are equal to the squares of AB ... A , B , and C be the sides of the squares , to which it is required to find an equivalent square . Draw DE equal to ...
Seite 55
... squares of A , B , and C. And , by thus repeating the process , it may be extended to any number of squares . PROP . XIII . PROB . C A B E F To find the side of a square equivalent to the difference between two given squares . Let A and B ...
... squares of A , B , and C. And , by thus repeating the process , it may be extended to any number of squares . PROP . XIII . PROB . C A B E F To find the side of a square equivalent to the difference between two given squares . Let A and B ...
Seite 56
... square described on the sum of two straight lines , is equivalent to the squares of those lines , together with twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is ...
... square described on the sum of two straight lines , is equivalent to the squares of those lines , together with twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is ...
Seite 57
... square of AC is divid- ed , are all rhomboidal and rectangu- lar . And because AB is equal to AF , and the opposite sides equal , the figure AG is equilateral , and ha- ving a right angle at A , is hence a square . Again , AD being ...
... square of AC is divid- ed , are all rhomboidal and rectangu- lar . And because AB is equal to AF , and the opposite sides equal , the figure AG is equilateral , and ha- ving a right angle at A , is hence a square . Again , AD being ...
Seite 58
... square of BC ; to each add the intermediate rect- angle EB , and GC is - equal to IL ; but the rectangle under AB and BC is equal to the rectangle IL , which is also equal to DG . From the compound surface CAFGBKL , or the squares of AB ...
... square of BC ; to each add the intermediate rect- angle EB , and GC is - equal to IL ; but the rectangle under AB and BC is equal to the rectangle IL , which is also equal to DG . From the compound surface CAFGBKL , or the squares of AB ...
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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