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Books Books 1 - 10 of 32 on Prove that similar triangles are to one another in the duplicate ratio of their homologous....
" Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. "
Books 3-9 - Page 234
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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A new supplement to Euclid's Elements of geometry, by the author of 'A new ...

Joseph Denison - 1840
...Elements. By means of that proposition the nineteenth proposition of the sixth book of Euclid, viz. that similar triangles are to one another in the duplicate ratio of their homologous sides becomes turned into the following one, viz. that similar triangles are to one...
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Middle-class education. 2

Middle-class education - 1857
...What is the algebraical expression for the mean proportional between two given quantities ? 19. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 20. Show that, if an equilateral triangle be inscribed in a circle, the square...
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...What is the algebraical expression for the mean proportional between two given quantities ? 19. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 20. Show that, if an equilateral triangle be inscribed in a circle, the square...
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Wisconsin Journal of Education, Volume 7

Education - 1863
...that ^5-^— 9=42 or the triangle ABC. I should mention 2 to draw ox parallel to BG. Now we know that similar triangles are to one another in the duplicate ratio of their homologous sides . • . BGC : oxC::BGa : ox', or 47.04 : 42::11.2" : 112 the square root of...
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How I rose in the world

How - 1868
...in the English, Latin, and Greek tongues, and understood (what few lads of my age then understood) , that ' similar triangles are to one another in the duplicate ratio of their homologous sides." In a word, then, I was something of a scholar, and I may well be forgiven...
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THE EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...and the part of it without the circle, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. Given (b) the base of a triangle, find an expression for the base of a similar...
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Annual Report of the Commissioners ..., Volume 40

1874
...(a.) Explain the term duplicate ratio, and illustrate its meaning as you would to a class. (b.) Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 2. Describe a circle which will pass through a given point, and touch a given...
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Mathematical exercises

Samuel H.. Winter - 1877
...which have the same base, are to one another as their altitudes. 7. Define duplicate ratio, and prove that similar triangles are to one another in the duplicate ratio of their homologous sides. On the side AB of a triangle ABC, AD is taken equal to one third of AB ; and...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...ratio and proportion, and explain the terms triplicate ratio, componendo, and ex sequali. 7. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 8. What is meant by the circular measure of an angle ? How many degrees, minutes,...
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The Competitor

...of ratios. Show from this definition that the ratio 3 : 4 is different from that of 4 : 5. 5. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 6. Divide a given finite straight line into any required number of equal parts....
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