An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part I, Containing Plane Geometry, with Its Application to the Solution of Problems, Part 1
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part I, Containing Plane Geometry, with Its Application to the Solution of Problems, Part 1
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1834 Excerpt: ...between the two sides CB, DE, of the similar triangles ABC, AED? A. Yes. For to prove it of the two sides AC and AD, I need only take them for the bases of the two triangles; and to prove it of the sides CB, DE, I must take CB and DE for the bases; the reasoning would be the same as that I just went through. QUERY IX. ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1834 Excerpt: ...between the two sides CB, DE, of the similar triangles ABC, AED? A. Yes. For to prove it of the two sides AC and AD, I need only take them for the bases of the two triangles; and to prove it of the sides CB, DE, I must take CB and DE for the bases; the reasoning would be the same as that I just went through. QUERY IX. From the ratio which you have proved to exist between the areas of similar triangles, can you now find out the ratio which exists between the areas of similar polygons 1 (See Definitions.) A. Yes. The areas of similar polygons are to each other, as the areas of the squares constructed upon the corresponding sides. The areas of the two similar polygons ABCDEF, abedef for instance, are to each other as the areas of the squares constructed upon the sides AB, ab, or as the areas of the squares upon the sides BC, be, &c. For, by drawing in the polygon ABCDEF, the diagonals AC, AD, AE, and in the polygon abedef, the corresponding diagonals, ac, ad, ae, the triangle ACB, is similar to the triangle abc, the triangle ACD, to the triangle acd, &c.; because, if the whole polygons ABCDEF, abedef, are similar, their similarly disposed parts must also be similar; and the same proportion which exists between their parts, must necessarily exist also between the whole polygons; consequently, as the areas of the triangles ABC, abe, ACD, acd, &c, are in the ratio of the areas of the squares constructed upon their corresponding sides, the whole polygons must be in the same ratio, which may be expressed thus: Polygon ABCDEF: polygon abedef = AB X AB: ab X ab. RECAPITULATION OF THE TRUTHS IN THE THIRD SECTION. Ques. 1. How do you determine the length of a line f 2. How do you find out which of two lines is the greater 1 3. How can you measure a surface?...
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Add this copy of An Elementary Treatise on Geometry: Simplified for to cart. $18.00, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2021 by Legare Street Press.
Add this copy of An Elementary Treatise on Geometry, Simplified for to cart. $20.00, poor condition, Sold by Common Crow Books rated 5.0 out of 5 stars, ships from Pittsburgh, PA, UNITED STATES, published 1833 by Carter, Hendee & Co.
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Poor. Part I only! Third edition, 1833, hardcover, leather boards, octavo, 190pp., not illustrated. Book poor with front board detached, moderate rubbing and wear to boards and spine, text has some toning and foxing throughout, but is unmarked. No DJ.
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Add this copy of An Elementary Treatise on Geometry: Simplified for to cart. $57.08, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2015 by Palala Press.
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