Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite iv
... , by rendering more continuous the chain of demonstration . The view which I have given of the nature of Proportion , in the Fifth Book , will contribute , I hope , to remove the chief difficulties attending that important iv PREFACE .
... , by rendering more continuous the chain of demonstration . The view which I have given of the nature of Proportion , in the Fifth Book , will contribute , I hope , to remove the chief difficulties attending that important iv PREFACE .
Seite 12
... given . Let AB represent the base , and G , H two sides of the triangle which it is required to construct . From the centre A , with the distance G , describe a cir- cle ; and , from the centre B , with the distance H , describe another ...
... given . Let AB represent the base , and G , H two sides of the triangle which it is required to construct . From the centre A , with the distance G , describe a cir- cle ; and , from the centre B , with the distance H , describe another ...
Seite 15
... given angle . At the point D in the given straight line DE , to form an angle equal to the given angle BAC . In the sides AB and AC of the given angle , assume the points G and H , join GH , from DE cut off DI equal to AG , and on DI ...
... given angle . At the point D in the given straight line DE , to form an angle equal to the given angle BAC . In the sides AB and AC of the given angle , assume the points G and H , join GH , from DE cut off DI equal to AG , and on DI ...
Seite 16
... given angle be supposed equal , only one circle would be required , a series of equal isosceles triangles being constituted about its centre . It is evi- dent that this addition is without limit , and that the angle so produced may con ...
... given angle be supposed equal , only one circle would be required , a series of equal isosceles triangles being constituted about its centre . It is evi- dent that this addition is without limit , and that the angle so produced may con ...
Seite 17
... given point above it . From the point C , to let fall a perpendicular upon the given straight line AB . In AB take towards A the point D , and with the distance DC describe a circle ; and , in the same line , take towards B another ...
... given point above it . From the point C , to let fall a perpendicular upon the given straight line AB . In AB take towards A the point D , and with the distance DC describe a circle ; and , in the same line , take towards B another ...
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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