Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsJ. Ballantyne and Company, 1811 - 500 páginas |
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Página 13
... a point in a straight line , to make an angle equal to a given 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 ...
... a point in a straight line , to make an angle equal to a given 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 ...
Página 14
... a given angle . Let ABC be an angle which it is required to bisect . B In the side AB take any point D , and from BC cut off BE equal to BD ; join DE , on which construct the isosceles triangle DFE ( I. 1. ) , and draw the straight line ...
... a given angle . Let ABC be an angle which it is required to bisect . B In the side AB take any point D , and from BC cut off BE equal to BD ; join DE , on which construct the isosceles triangle DFE ( I. 1. ) , and draw the straight line ...
Página 15
... given point without it . From the point C , to let fall a perpendicular upon a given straight line AB . In AB take the point D , and with the distance DC describe a circle ; and in the same line take another point E , and with distance ...
... given point without it . From the point C , to let fall a perpendicular upon a given straight line AB . In AB take the point D , and with the distance DC describe a circle ; and in the same line take another point E , and with distance ...
Página 21
... a given point C to the straight line AB , the perpendicular CD is the least , the equidistant lines CE and CF are equal , but the remoter line CG is greater than either of these two . For the right angle CDE , which is equal to CDF , is ...
... a given point C to the straight line AB , the perpendicular CD is the least , the equidistant lines CE and CF are equal , but the remoter line CG is greater than either of these two . For the right angle CDE , which is equal to CDF , is ...
Página 22
... a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side , the one ...
... a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side , the one ...
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Términos y frases comunes
ABCD adjacent angle ANALYSIS angle ABC angle ACB angle BAC base AC bisect centre chord circumference COMPOSITION conse consequently the angle contained angle decagon describe a circle diameter distance diverging lines draw equal to BC evidently exterior angle given circle given in position given point given ratio given space given straight line greater hence hypotenuse inflected inscribed intercepted intersection isosceles triangle join let fall likewise mean proportional Note opposite parallel perpendicular point G polygon porism PROB PROP proposition quently radius rectangle rhomboid right angles Scholium segments semicircle semiperimeter side AC similar sine square of AB square of AC straight line given tangent THEOR triangle ABC twice the square vertex vertical angle whence wherefore