...in the text, viz. equian-" gular parallelograms have to one another the ratio which is comj pounded of the ratios of the fides. for the vulgar reading " which " is compounded of their fides" is abfurd. But in this Edition we hare kept the Demonftration which is in...

...to be demonstrated. F f D PROPOSITION XXIII. THEOREM XVII. flj Q_U IANGULAR parallelograms (M & N) have to one another the ratio which is compounded of the ratios of their fides (AC, CD & EC, CG) about the equal angles. Hypothefis. Thefis. The pKrs. M У N are equiangular,...

...ratios that are the fame whh the ratios of the fides. And to this demonftration agrees the enunciation which is at prefent in the text, viz. Equiangular...to one another the ratio which is compounded of the H : VI. Book VI. the ratios of the fides : For the vulgar reading, " which is compounded of their fides,"...

...ratios that are the fame with the ratios of the fides. And to this demonftration agrees the enunciation which is at prefent in the text, viz. Equiangular...to one another the ratio which is compounded of the G Book VI. the ratios of the fide* : For the vulgar readinp, " which is " pounded of their fides,"...

...to CD, as EF to GH. If therefore four ftraight lines, &c. (^ ED PROP. XXIII. THEO R. QJJ I ANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides, Let AC, CF be equiangular par.illelograms, having the angle BCD equal to the an^le ECG....

...CD, as EF to GH. If therefore four ftraight lines, &•(:. Q^ED ' . . " • ' PROP. XXIII. THEO R. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG...

...equal to GH ; AB is to CD, as EF t« GH. If therefore four ftraight lines, &c. Q^ED PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG...

...toGH, AB is to CD. as EF to GH. If therefore four flraight lines, gtc. QED PR Or. PROP. XXIII. THEO R. parallelograms have to one another the ratio which is compounded of the ratios of their fides. a i4. i. b n. 6. Let AC, CF "be equiangular parallelograms, having the angle BCD equal...

...; AB is to CD, as EF to GH, If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. s«eN. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC Ci; be equiangular parallelograms, having the angle BCD equal to the angle ECG:...

...those straight lines shall be proportionals. Prop. XXIII. Theor. Equiangular parallelograms li. и f to one another the ratio which is compounded of the ratios of their sides. Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar...