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 |
Dentro del libro
Resultados 1-5 de 11
Página 49
... gnomon . ' Thus the parallelogram HG , ' together with the complements ' AF , FC , is the gnomon , which ' is more briefly expressed by the H ' letters AGK , or EHC , which ' are at the opposite angles of the ' parallelograms which make ...
... gnomon . ' Thus the parallelogram HG , ' together with the complements ' AF , FC , is the gnomon , which ' is more briefly expressed by the H ' letters AGK , or EHC , which ' are at the opposite angles of the ' parallelograms which make ...
Página 53
... gnomon CMG ; therefore the gnomon CMG is equal to the rectangle AD , DB : to each of these add LG , which is equal ( 43. 1. ) to the square of CD ; therefore the gnomon CMG , together with LG , is equal to the rectangle AD , DB ...
... gnomon CMG ; therefore the gnomon CMG is equal to the rectangle AD , DB : to each of these add LG , which is equal ( 43. 1. ) to the square of CD ; therefore the gnomon CMG , together with LG , is equal to the rectangle AD , DB ...
Página 54
... gnomon CMG and the figure LG : but the gnomon CMG and LG make up the whole figure CEFD , which is the square of CD ; therefore the rectangle AD , DB , together with the square of CB , is equal to the square of CD . Where- fore , if a ...
... gnomon CMG and the figure LG : but the gnomon CMG and LG make up the whole figure CEFD , which is the square of CD ; therefore the rectangle AD , DB , together with the square of CB , is equal to the square of CD . Where- fore , if a ...
Página 55
... gnomon AKF , together with the square CK ; therefore the gnomon AKF , together with the square CK , is double of AK : but twice the rectangle AB , BC is double of AK , for BK is equal ( Cor . 4. 2. ) to BC therefore the gnomon AKF , to ...
... gnomon AKF , together with the square CK ; therefore the gnomon AKF , together with the square CK , is double of AK : but twice the rectangle AB , BC is double of AK , for BK is equal ( Cor . 4. 2. ) to BC therefore the gnomon AKF , to ...
Página 56
... gnomon AOH was demonstrated to be quadruple of AK therefore four times the rectangle AB , BC is equal to the gnomon AOH . To each of these add XH , which is equal ( Cor . 4. 2. ) to the square of AC : therefore four times the rect ...
... gnomon AOH was demonstrated to be quadruple of AK therefore four times the rectangle AB , BC is equal to the gnomon AOH . To each of these add XH , which is equal ( Cor . 4. 2. ) to the square of AC : therefore four times the rect ...
Otras ediciones - Ver todas
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