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 Βιβλία Βιβλία From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean proportional between the segments of the base; and also that each of the sides is a mean proportional between the base, and... The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 93
των Euclides - 1863
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...angle of a right angled triangle to the base, is a mean proportional between the segments of the base : and also that each of the sides is a mean proportional between the base, and its segment adjacent to that side: because in the triangles BDA, ADC, BD is to DA, as DA... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...to ABC, are equiangular and similar to each other. Therefore, in a right angled, &c. QED . Con. From this it is manifest, that the perpendicular drawn from the right angle of a right angled triangle to the base, is a mean proportional between the segments of the base : and also... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...to ABC, are equiangular and similar to each other. Therefore, in a right angled, &c. QED COR. From this it is manifest that the perpendicular drawn from the right angle of a right angled triangle to the base, is a mean proportional between the segments of the .s. base: And... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1819 - 348 σελίδες
...ABC, are equiangular and similar to one another- Therefore, in a right angled, Jkc Q, ED COR. From this it is manifest, that the perpendicular drawn, from the right angle of a right angled-triangle, to the base, is a mean proportional between the segments of the base ; and also... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...ABC, are equiangular and similar to each other. Therefore in a right analed, &c. QED COR. From thii it is manifest, that the perpendicular drawn from the right angle of a right angled triangle to the base, is a mean proportional between the segment«- of the base : And... ## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...drawn from the right angle at the base, it is a mean proportional between the segments of the base; and also that each of the sides is a mean proportional between the base and its segment adjacent to that side. Deduction. PROPOSITION IX. PROBLEM. From a given right... ## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 σελίδες
...drawn from the right angle at the base, it is a mean proportional between the segments of the base ; and also that each of the sides is a mean proportional between the base and its segment adjacent to that side. Deduction. To divide a given finite right line into two... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...to ABC, are equiangular and similar to each other. Therefore, in a right angled, &c. QED COR. From this it is manifest that the perpendicular drawn from the right angle of a right angled triangle to the base, is a mean proportional between the segments of the base, and also... ## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 σελίδες
...contained by those chords, will be a right £_ (Prop. 31, 3) ; and the perpendicular, from this right f_ on the hypotenuse, is a mean proportional between the segments of the hypotenuse (Cor. 8, 6.). Cor. 1. In like manner mean proportionals can be found between the given lines and this... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...ABC, are equiangular and similar to each other. Therefore, " in a right angled," &c. QED COR. From this it is manifest, that the perpendicular drawn from the right angle of a right angled triangle to tlie base, is a mean proportional between the segments of the base : And also,...