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" 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
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 σελίδες
...being both equiangular and similar to ABC, are equiangular and similar to each oilier. COROLLARY. From this it is manifest, that the perpendicular drawn...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 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...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...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 σελίδες
...equiangular and similar to ABC, are equiangular and similar to each other. „. - ',],-, COR. — From this it is manifest that the perpendicular drawn from the right angle of a right-angleoXriangle to the base, is a mean proportional between the segments of the base ; and also...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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...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...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...similar to ABC, therefore they are similar to each other. Therefore, in a right-angled, &c. QED Cor. From this it is manifest, that the perpendicular drawn...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...of ft right-angled triangle to the base, is a mean propertional between the segments of the base ; and also that each of the sides is a mean proportional between the base, and the segment of it adjacent to that side : because in the triangles BDA, ADC ; BD is to DA,...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...triangle ABC, are similar to each other. Wherefore, in a right-angled triangle &c. QED COROLLARY. From this it is manifest, that the perpendicular drawn...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...

Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 σελίδες
...and similar to each other. Therefore, in a right-angled, &c. QED ПОР1ЯМА. COROLLARY — From this it is manifest that the perpendicular drawn from...hypotenuse and the segment of it adjacent to that side. PROPOSITION IX __ PROBLEM. nporaaiç Q'. — Tijf ío0fiirqç kvQiiaç то irpоara\Qы аéf\iiv....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...to ABC, are equiangular and similar to each other. Therefore, in a right-angled, &c. QED COB. From this it is manifest, that the perpendicular drawn...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...

The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1873 - 238 σελίδες
...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 segment of the base adjacent to that side. For in the triangles BAD, BDC, AB is to BD...




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