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" If two triangles have two sides of the one equal to two sides of the... "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Σελίδα 19
των Stewart W. and co - 1884
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - 12 σελίδες
...two right-angular triangles are equal. 94 GEOMETRY. 21. If in two triangles two sides of the one are equal to two sides of the other, each to each, but the angle included by the two sides in one triangle is greater than the angle included by the two sides...

A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 330 σελίδες
...spherical polygon is less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, the two triangles shall...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 σελίδες
...the given rectilineal angle DCE- Which was to be done. PROP. XXIV. THEOR. If two triangles have fwo sides of the one equal to two sides of the other, each to each, but the angle contained by the Iwvsidesof the one prettier limn the angle contained by the two sides of the...

The Quarterly Journal of Education, Τόμος 6

1833
...as possible, and also of many superfluous phrases. For instance, ' if there be two triangles which have two sides of the one equal to two sides of the other, each to each, Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 σελίδες
...respectively, and also the angles between those sides equal to one another. Wherefore, universally, if two triangles have two sides of the one, equal to two sides of the other respectively ; &c. Which was to be demonstrated. PROPOSITION V. THEOREM. — In any isoskeles...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...Cunstr. 19. 1. PROPOSITION XXV. THEOR. — If ' two triangles have two sides of the one, equal to Sec N. two sides of the other, each to each, but the base of the one, greater than the base of the other, Ike angle contained by the sides of that which has the greater base, shall be greater than the angle...

An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Μέρος 1

Francis Joseph Grund - 1834 - 190 σελίδες
...to each, the two rightangled triangles are equal. 20. If in two triangles two sides of the one are equal to two sides of the other, each to each, but the angle included by the two sides in one triangle, is greater than the angle included by them in the...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 σελίδες
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, " if two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE have two sides of the one equal to two sides of the other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 σελίδες
...triangles, &c. QED •i ' "Jr ,' $'~ PROP. XXV. THEOR. If two triangles have two sides of the one equalto two sides of the other, each to each, but the base...one greater than the base of the other ; the angle contained by the sides of that which has the greater base, shall be greater than the angle contained...




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