Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Αποτελέσματα 6 - 10 από τα 33.
Σελίδα 28
But , when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle .
But , when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle .
Σελίδα 29
... and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB . Which was to be done . 7 PROP . XIII . THEOR .
... and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB . Which was to be done . 7 PROP . XIII . THEOR .
Σελίδα 48
... which make up the A H D whole figure ABCD and are therefore called the complements : The E K complement BK is equal to the comF plement KD . Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) ...
... which make up the A H D whole figure ABCD and are therefore called the complements : The E K complement BK is equal to the comF plement KD . Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) ...
Σελίδα 53
VERY right angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles “ Thus the right angled parallelogram AC is called the rectangle es contained by AD and DC ...
VERY right angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles “ Thus the right angled parallelogram AC is called the rectangle es contained by AD and DC ...
Σελίδα 110
So also , if there are five continual proportionals ; the ratio of the first “ to the fifth is called quadruplicate of the ratio of the first to the “ second ; and so on , according to the number of ratios . Hence , a “ ratio.compounded ...
So also , if there are five continual proportionals ; the ratio of the first “ to the fifth is called quadruplicate of the ratio of the first to the “ second ; and so on , according to the number of ratios . Hence , a “ ratio.compounded ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole