The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 páginas |
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Página 97
... tangent DB . But if DCA does not pass through the centre of the circle ABC , take ( 1. 3. ) the centre E , and draw EF perpendicular ( 12. 1. ) to AC , and join EB , EC , ED : and because the straight line EF , which passes through the ...
... tangent DB . But if DCA does not pass through the centre of the circle ABC , take ( 1. 3. ) the centre E , and draw EF perpendicular ( 12. 1. ) to AC , and join EB , EC , ED : and because the straight line EF , which passes through the ...
Página 252
... tangents to the circle , the square See Note . : For there is some square equal to the circle ABCD ; let P be the side of it , and to three straight lines BD , FH , and P , there can be a fourth propor tional ; let this be Q therefore ...
... tangents to the circle , the square See Note . : For there is some square equal to the circle ABCD ; let P be the side of it , and to three straight lines BD , FH , and P , there can be a fourth propor tional ; let this be Q therefore ...
Página 480
... Tangent of the arch AC ; or of the angle ABC . VII . The straight line BE , between the centre and the extremity of the tangent AE , is called the Secant of the arch AC , or angle ABC . COR . to def . 4. 6. 7. The sine , tangent , and ...
... Tangent of the arch AC ; or of the angle ABC . VII . The straight line BE , between the centre and the extremity of the tangent AE , is called the Secant of the arch AC , or angle ABC . COR . to def . 4. 6. 7. The sine , tangent , and ...
Página 481
... tangent , and se- cant , of any arch which is the measure of any given angle ABC , is to the sine , versed sine , tangent , and secant , of any other arch which is the measure of the same angle , as the radius of the first is to the ...
... tangent , and se- cant , of any arch which is the measure of any given angle ABC , is to the sine , versed sine , tangent , and secant , of any other arch which is the measure of the same angle , as the radius of the first is to the ...
Página 482
... tangent of the angle opposite to it , and the hypothenuse the secant of the same angle . Let ABC be a right angled triangle ; if the hypothenuse BC be made radius , either of the sides AC will be the sine of the angle ABC opposite to it ...
... tangent of the angle opposite to it , and the hypothenuse the secant of the same angle . Let ABC be a right angled triangle ; if the hypothenuse BC be made radius , either of the sides AC will be the sine of the angle ABC opposite to it ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Sin vista previa disponible - 2018 |
Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore