The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 6
Euclides Thomas Tate. XII . " If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight ... a given point 6 EUCLID'S ELEMENTS .
Euclides Thomas Tate. XII . " If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight ... a given point 6 EUCLID'S ELEMENTS .
Side 7
Euclides Thomas Tate. PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line ...
Euclides Thomas Tate. PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line ...
Side 14
... given rectilineal angle , that is , to divide it into two equal angles . Let ... straight line AF bisects the triangle BA C. Because A D is equal to A E ... given rectilineal angle BAC is bisected by the straight line a F. Which was to be ...
... given rectilineal angle , that is , to divide it into two equal angles . Let ... straight line AF bisects the triangle BA C. Because A D is equal to A E ... given rectilineal angle BAC is bisected by the straight line a F. Which was to be ...
Side 15
Euclides Thomas Tate. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let A B be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon ...
Euclides Thomas Tate. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let A B be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon ...
Side 16
... line makes with another straight line are equal to one another , each of them is called a right ( 1. Def . 10. ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point c , in the given ...
... line makes with another straight line are equal to one another , each of them is called a right ( 1. Def . 10. ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point c , in the given ...
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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