The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 6-10 av 55
Side 15
Euclides Thomas Tate. PROP . X. PROB . To bisect a given finite straight line ... point D. C Because AC is equal to C B , and CD common to the two triangles ... point D. A D B Which was to be done . PROP . XI . PROB . To draw a straight ...
Euclides Thomas Tate. PROP . X. PROB . To bisect a given finite straight line ... point D. C Because AC is equal to C B , and CD common to the two triangles ... point D. A D B Which was to be done . PROP . XI . PROB . To draw a straight ...
Side 16
... given point c , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR . By help of this problem , it may be demon- strated that two ... a A C E II G B D point without it 16 EUCLID'S ELEMENTS .
... given point c , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR . By help of this problem , it may be demon- strated that two ... a A C E II G B D point without it 16 EUCLID'S ELEMENTS .
Side 17
... given point c , is perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the base CF is equal ( 1 ...
... given point c , is perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the base CF is equal ( 1 ...
Side 18
... a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines ...
... a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines ...
Side 19
... a point , & c . Q. E. D. PROP . XV . THEOR . If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines A B , C D cut one another in the point E ; the angle A E C shall be ...
... a point , & c . Q. E. D. PROP . XV . THEOR . If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines A B , C D cut one another in the point E ; the angle A E C shall be ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle